34. Using Confidence Intervals to Test Hypotheses When analyzing the last digits of tele- phone numbers in Port Jefferson, it is found that among 1000 randomly selected digits, 119 are zeros. If the digits are randomly selected, the proportion of zeros should be 0.1. a. Use the critical value method with a 0.05 significance level to test the claim that the propor- tion of zeros equals 0.1. b. Use the P-value method with a 0.05 significance level to test the claim that the proportion of zeros equals 0.1. c. Use the sample data to construct a 95% confidence interval estimate of the proportion of zeros. What does the confidence interval suggest about the claim that the proportion of zeros equals 0.1? d. Compare the results from the critical value method, the P-value method, and the confidence interval method. Do they all lead to the same conclusion?

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34. Using Confidence Intervals to Test Hypotheses When analyzing the last digits of tele-
phone numbers in Port Jefferson, it is found that among 1000 randomly selected digits, 119 are
zeros. If the digits are randomly selected, the proportion of zeros should be 0.1.
a. Use the critical value method with a 0.05 significance level to test the claim that the propor-
tion of zeros equals 0.1.
b. Use the P-value method with a 0.05 significance level to test the claim that the proportion of
zeros equals 0.1.
c. Use the sample data to construct a 95% confidence interval estimate of the proportion of
zeros. What does the confidence interval suggest about the claim that the proportion of zeros
equals 0.1?
d. Compare the results from the critical value method, the P-value method, and the confidence
interval method. Do they all lead to the same conclusion?
Transcribed Image Text:34. Using Confidence Intervals to Test Hypotheses When analyzing the last digits of tele- phone numbers in Port Jefferson, it is found that among 1000 randomly selected digits, 119 are zeros. If the digits are randomly selected, the proportion of zeros should be 0.1. a. Use the critical value method with a 0.05 significance level to test the claim that the propor- tion of zeros equals 0.1. b. Use the P-value method with a 0.05 significance level to test the claim that the proportion of zeros equals 0.1. c. Use the sample data to construct a 95% confidence interval estimate of the proportion of zeros. What does the confidence interval suggest about the claim that the proportion of zeros equals 0.1? d. Compare the results from the critical value method, the P-value method, and the confidence interval method. Do they all lead to the same conclusion?
Expert Solution
Step 1

Given that 

Sample size=1000

Number of zeroes =119 

Population proportion =0.1

We have test hypothesis for proportion using Critical value method, P Value method and Confidence interval method: 

 

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