According to a recent marketing campaign, 130 drinkers of either Diet Coke or Diet Pepsi participated in a blind taste test to see which of the drinks was their favorite. In one Pepsi television commercial, an anouncer states that "in recent blind taste tests, more than one half of the surveyed preferred Diet Pepsi over Diet Coke." Suppose that out of those 130 , 48 preferred Diet Pepsi. Test the hypothesis, using α=0.05 that more than half of all participants will select Diet Pepsi in a blind taste test by giving the following:

Answers

Answer 1

a)The test statistic is 0.35

b) The P-value is 0.3632

c) There is not sufficient evidence to reject the null hypothesis that p = 0.5

How to explain the information

Given data

Sample size, n =130

Population proportion, p= 0.5

Significance level, = 0.05

Number of success , x= 67

Sample proportion, = 67/130

= 0 5154

The test statistic will be:

= 0.5154 - 0.5 / ✓0.5(1 - 0.5) / 130

= 0.35

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Related Questions


If a couple has 3 children, there are 8 possible outcomes for the number of boys and girls.
Let X= the number of girls. Calculate and interpret the standard deviation of the distribution. Use 1.5 for

Answers

Answer:

To calculate the standard deviation of the distribution, we first need to find the expected value of X, which is the average number of girls in the 8 possible outcomes.

Since each child can be either a boy or a girl with equal probability, there are 2^3 = 8 possible outcomes for the number of boys and girls. We can list these outcomes and the corresponding number of girls:

BBB (0 girls)

BBG (1 girl)

BGB (1 girl)

BGG (2 girls)

GBB (1 girl)

GBG (2 girls)

GGB (2 girls)

GGG (3 girls)

To find the expected value of X, we add up the number of girls in each outcome and divide by the total number of outcomes:

E(X) = (0 + 1 + 1 + 2 + 1 + 2 + 2 + 3) / 8 = 1.5

Next, we need to calculate the variance of X. The variance is the expected value of the squared deviation from the mean:

Var(X) = E[(X - E(X))^2]

We can calculate this by finding the squared deviation from the mean for each possible outcome, multiplying by the probability of that outcome, and summing over all outcomes:

Var(X) = [(0 - 1.5)^2 / 8 + (1 - 1.5)^2 / 4 + (2 - 1.5)^2 / 4 + (3 - 1.5)^2 / 8]

= 0.65625

Finally, the standard deviation is the square root of the variance:

SD(X) = sqrt(Var(X)) = sqrt(0.65625) = 0.81 (rounded to two decimal places)

Interpretation: The standard deviation of the distribution of the number of girls in a family of three children is 0.81. This means that on average, the number of girls in such families is 1.5, but the actual number of girls can vary by up to 0.81 from this average.

Can you get full tuition only with outside scholarships?

Answers

Answer: yes.

Explanation:

What is TRUE about emotions and financial decisions?
O A.
SOB.
O D.
You should only make financial decisions when you are in a good mood.
You should only make financial decisions when you are in a bad mood.
You should try to leave emotions out of financial decisions.
Emotions generally make no impact on financial decisions.

Answers

Answer:

The answer is C

Explanation:

The answer is C. You should try to leave emotions out of financial decisions. While emotions can certainly impact financial decisions, it is important to try to make decisions based on rational, objective factors whenever possible. Allowing emotions to drive financial decisions can lead to impulsive choices that may not be in one's best interest in the long term. That being said, it can be difficult to entirely separate emotions from financial decisions, as money and personal values are often closely intertwined.

The P-value for the test in the previous question is about 0.99. This means that The P-value for the test in the previous question is about 0.99. This means that the poll gives very strong evidence that more than half of college students believe religion brings more conflict than peace. the poll sheds no light on whether more than half of college students believe religion brings more conflict than peace. the poll gives weak evidence that more than half of college students believe religion brings more conflict than peace. the poll gives no evidence that more than half of college students believe religion brings more conflict than peace.

Answers

The P-value for the test in the previous question is about 0.99. This means that the poll gives very strong evidence that more than half of college students believe religion brings more conflict than peace.

Question 1 of 10
When you present a counterclaim, you explain what your_________ believe.
A. audience members
B. opponents
C. supporters
D. experts
SUBMIT

Answers

Answer:

B. opponents.

When you present a counterclaim, you are presenting an opposing viewpoint to your own argument, and explaining what your opponents or those who hold a different belief or perspective may argue.

Explanation:

B. Opponents

This is because a counterclaim is the opposite of what your claiming

Question 5 of 10
In a command economy, which group is most responsible for producing the
goods people in society need?
O A. Government agencies
OB. Private businesses
OC. Family members
OD. International corporations

^^^

Answers

In a command economy, the onus of producing goods and services to meet the needs of the society falls upon government agencies.  (Option A)

What is the explanation for the above response?

It is an economic system wherein the government exercises control over the means of production and dictates what goods and services will be produced and in what quantities.

Private businesses, if present, operate under strict governmental regulations concerning specific areas and goods production.

The involvement of family members and international corporations in such economies is usually absent as centralized control by the government overpowers any other entity.

Thus, the correct answer is: Option A)

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10.. Six friends each use a $3-off coupon to buy themselves a movie ticket. They spend a total
of $42. What is the price of one movie ticket without the coupon?
$18
3X..
$7
A.
B.
C.
D.
$60
$10

Answers

Answer: $7.50

Explanation:

first find the cost without the 3 dollars off. this would be 42 + 3 = $45

Next, divide this cost by 6 to find the price per ticket, so 45/6 = 7.5

So each ticket was $7.50

The price of one movie ticket without the coupon is $10.


Henry's Hoagies collected data from a random sample of customer's orders. It calculated the P(mayonnaise) = 0.64, P(mustard) = 0.59, and P(mayonnaise or mustard) = 0.89. What is the P(mayonnaise and mustard)?

Answers

To find the probability of mayonnaise and mustard, we can use the formula:

P(mayonnaise and mustard) = P(mayonnaise) + P(mustard) - P(mayonnaise or mustard)

Plugging in the given values, we get:

P(mayonnaise and mustard) = 0.64 + 0.59 - 0.89
P(mayonnaise and mustard) = 0.34

Therefore, the probability of a customer ordering both mayonnaise and mustard is 0.34.

To find the probability of mayonnaise and mustard, we can use the formula:

P(mayonnaise and mustard) = P(mayonnaise) + P(mustard) - P(mayonnaise or mustard)

Plugging in the given values, we get:

P(mayonnaise and mustard) = 0.64 + 0.59 - 0.89

P(mayonnaise and mustard) = 0.34

Therefore, the probability of a customer ordering both mayonnaise and mustard is 0.34.

What is preference?

Preference is a greater liking for one alternative over another or others. Fatima prefers ketchup to mustard. Therefore, she likes ketchup more than she likes mustard. Fatima prefers mayonnaise to relish.

She likes mayonnaise more than she likes relish. However, Fatima is indifferent between mustard and relish. Therefore, she has no preference between these two.

Therefore, the probability of a customer ordering both mayonnaise and mustard is 0.34.

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5. Dan is Joshua's son and Guy's brother. Margaret is Guy's mother and Judy's daughter. Which of the statements below is true? Judy is Dan's mother-in-law. Margaret is Dan's mother. Judy is Joshua's grandmother. None of the above​

Answers

It has been found that none of the statements made are valid.

What can we conclude?

Furthermore, from the provided information we can assume several connections:

Dan is Joshua's son.Dan is the sibling of Guy. Guy is Margaret's son.Margaret is Judy's daughter.

Consequently, it is reasonable to infer that:

Judy is Dan's grandmother and not his mother-in-law.

Additionally, Margaret isn't Dan's mom (his mother is left unspecified).

Furthermore, Judy does not serve as Joshua's grandmother since he is not her son but instead Dan's dad.

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Question 7 of 10
The statement "James K. Polk was the greatest U.S. president because he
accomplished all his goals in a single term" is a:
A. claim of fact.
OB. claim of value.
C. claim of policy.
D. claim of emotion.
SUBMAT

Answers

The statement "James K. Polk was the greatest U.S. president due to his achievement of all his goals during a single term" is a B. claim of value.

Why is this so?

It is an assertion that assesses Polk's presidency and grants it a positive value based on the accomplishment of his objectives.

The claim is subjective and up for debate, as different persons may have diverse standards for what defines a "great" leader. Additionally, this evaluation is not founded upon empirical evidence but instead a dissection of Polk's conduct and their perceived importance.

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HELP PLEASE need for algebra 1

Answers

Negative - it goes downhill from left to right

Undefined - straight up and down is undefined

Zero - the line is completely horizontal with no tilt. The slope is zero

Negative

Question 6 of 10
When you make a call to action, you tell audience members:
O
A. facts and reasons that support your point of view.
B. why this topic should appeal to their emotions.
C. what you want them to do, want, or believe.
D. why this topic appeals to your emotions.
SUBI

Answers

Answer:

C. what you want them to do, want, or believe.

Explanation:

A call to action is a statement that tells the audience what action to take. It is a specific and clear direction given by the speaker to the audience, explaining what they should do, believe, or want as a result of the presentation or speech. It is often used at the end of a persuasive presentation to motivate the audience to take action. Answer C is correct.

SUPPOSE THE SPEED AT WHICH CARS GO ON THE FREEWAY IS NORMALLY DISTRIBUTED WITH MEAN 78 MPH AND STANDARD DEVIATION 10 MILES PER HOUR LET X BE THE SPEED FOR A RANDOMLY SELECTED CAR WHAT IS THE DISTRIBUTION OF X

Answers

The distribution of x, the speed for a randomly selected car  can be expressed as a normal distribution with a mean of 78 MPH. Thus, we can write it as X ~ N(78, 10 )

What is normal distribution ?

The Gaussian distribution, also known as normal distribution, is often employed in statistical analysis due to its symmetrical bell-shaped curve for the continuous probability distribution.

Thus, it is correct to state that the distribution of x, the speed for a randomly selected car  can be expressed as a normal distribution with a mean of 78 MPH and standard deviation 10 MPH , since these are the parameters of the underlying distribution. More formally, we can write:

X ~ N(78, 10)

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Which of the following is an extended definition of shenanigans?
Language is always changing and growing. Sometimes, it grows in the wrong direction. For example, hijinks,
shenanigans, and tomfoolery are old-fashioned terms that haven't been widely used since the mid-century or so, but don'
they sound much more interesting and descriptive than prank or trick?
Mr. Singh warned his students not to write rude remarks on the visiting team's bus. "I know it seems like a harmless
prank," he said, "but those kinds of shenanigans can get you in serious trouble."
Shenanigans, a noun meaning trickery or mischief, was the perfect choice for Word of the Day on April 1st.
Both sides accused the other of using lies, intimidation, vote hacking, and other shenanigans to steal the election.

Answers

Answer: Mr. Singh warned his students not to write rude remarks on the visiting team's bus. "I know it seems like a harmless

prank," he said, "but those kinds of shenanigans can get you in serious trouble."

Explanation:

this one gives the best context clues to someone who doesn't know the dictionary definition.

"Shenanigans, a noun meaning trickery or mischief..." is the extended definition of the term mentioned in the given excerpt.

Question 4 of 10
When you write a persuasive address, you will include reasons and details
that support your claim. These reasons and details are.
OA. evidence
OB. methods
OC. counterclaims
O D. modes
SUBMIT

Answers

Answer:

A. evidence

Explanation:

When writing a persuasive address, it is important to include reasons and details that support the claim being made. These reasons and details are known as evidence. Evidence can take many forms, such as statistics, expert opinions, examples, anecdotes, and research studies. By presenting strong and compelling evidence, the speaker can persuade the audience to accept their point of view.

Methods refer to the specific techniques or strategies used to accomplish a particular task. Counterclaims are the arguments made against the speaker's claim, and modes refer to the different forms of communication, such as written or spoken, that can be used to convey a message. Therefore, the correct answer to the question is option A: evidence.

A. Evidence

This is because it is talking about details and reasons and that is evidence

Help determine whether the slope is positive negative zero or undefined PLEASE HURRY

Answers

line 1 is negative
line 2 is undefined
line 3 is positive
line 4 is zero

Question 3 of 10
is a way to grab audience members' attention by starting a dramatic or
exciting story and not finishing it until later in the speech or presentation.
A. A cliffhanger
B. An analogy
C. Figurative language
D. A rhetorical question
SUBMIT

Answers

Answer:

A. A cliffhanger

Explanation:

A cliffhanger is a way to grab audience members' attention by starting a dramatic or exciting story and not finishing it until later in the speech or presentation. This technique is commonly used in storytelling and in speeches to keep the audience engaged and interested. By withholding the conclusion or resolution of a story or anecdote, the speaker creates a sense of suspense and anticipation in the audience, making them more likely to pay attention and stay engaged. A cliffhanger can be a powerful tool for holding the attention of an audience and building excitement and interest in a speech or presentation.

The answer is A: Cliffhanger!
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