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Using Confidence Intervals to Test Hypotheses When analyzing the last digits of
Chapter 8, Problem 36(choose chapter or problem)
Using Confidence Intervals to Test Hypotheses When analyzing the last digits of telephone 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 proportion of zeros equals 0.1. b. Use the Pvalue 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 Pvalue method, and the confidence interval method. Do they all lead to the same conclusion?
Questions & Answers
QUESTION:
Using Confidence Intervals to Test Hypotheses When analyzing the last digits of telephone 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 proportion of zeros equals 0.1. b. Use the Pvalue 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 Pvalue method, and the confidence interval method. Do they all lead to the same conclusion?
ANSWER:Step 1 of 5
Analyzing the last digit of telephone number in port Jefferson 1000 digits are randomly selected. That is .
Among 1000 randomly selected digits 119 are zeros.
Then proportion of zero is given by,
Thus,