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QUESTION 16 Jon reads that 76% of Americans prefer Coke over Pepsi. He works at a...

QUESTION 16

  1. Jon reads that 76% of Americans prefer Coke over Pepsi. He works at a local restaurant and decides to poll his customers there about their soda preference. He finds that 120 out of 150 customers surveyed prefer Coke. He would like to conduct a test of hypothesis to see if there is a significant difference between customers at his restaurant and the national results for all Americans, in terms of their preference for Coke over Pepsi. After calculating the test statistic and p-value, what would his statistical conclusion be at an alpha level of 0.10?

    A.

    Yes, do not reject Ho

    B.

    No, do not reject Ho

    C.

    Yes, reject Ho

    D.

    No, reject Ho

QUESTION 19

  1. In 2017 it was reported that 46% of Americans still had landline phones in their homes. Researchers would like to see if that percentage has declined since that time. Data was collected in 2019 and of the 655 participating Americans, 265 said they still had landlines in their homes. Is this enough evidence that the percentage of Americans with landlines in their homes has significantly decreased in the past 2 years? Identify the parameter in this problem.

    A.

    true proportion of all Americans in 2019 who use their landline phone as their primary means of contact

    B.

    true proportion of all Americans in 2019 who have a landline phone in their homes

    C.

    true proportion of all Americans who have both a cell phone and a landline phone

    D.

    true proportion of all Americans in 2017 who have a landline phone in their homes

QUESTION 26

  1. In 2017 it was reported that 46% of Americans still had landline phones in their homes. Researchers would like to see if that percentage has declined since that time. Data was collected in 2019 and of the 655 participating Americans, 265 said they still had landlines in their homes. Is this enough evidence that the percentage of Americans with landlines in their homes has significantly decreased in the past 2 years? After completing the full hypothesis test, what is the final conclusion?

    A.

    With 95% confidence, I do not have enough evidence to conclude that true proportion of all Americanhouseholds in 2019 that have a landline phone is significantly lower than the 2017 value of 46%.

    B.

    I am 95% confident that the true proportion of all American households in 2019 that have a landline phone is significantly lower than the 2017 value of 46%.  

QUESTION 27

  1. In 2017 it was reported that 46% of Americans still had landline phones in their homes. Researchers would like to see if that percentage has declined since that time. Data was collected in 2019 and of the 655 participating Americans, 265 said they still had landlines in their homes. Suppose researchers computed a 95% confidence interval for this data. Which of the following would be true?

    A.

    The value of 46% would fall within the interval.

    B.

    The value of 46% would fall outside the interval.

Solutions

Expert Solution

16)

for p value is greater than 0.1 , fail to reject the null

option B No, do not reject Ho

19)

true proportion of all Americans in 2019 who have a landline phone in their homes

26)

since p value is less than 0.05 ,

I am 95% confident that the true proportion of all American households in 2019 that have a landline phone is significantly lower than the 2017 value of 46%.  

27)

The value of 46% would fall outside the interval.


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