When analyzing the last digits of telephone numbers in Strong Memorial Hospital, it is found that among 1000 randomly selected digits, 119 are zeroes. If the digits are randomly selected, the proportion of zeroes should be 0.1. Consider the hypothesis test that uses a 0.05 significance level to test the claim that the proportion of zeroes equals 0.1. a. What is the test statistic? b. What are the critical values? c. What is the p-value? ТТ 11

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1. When analyzing the last digits of telephone numbers in Strong Memorial Hospital, it
is found that among 1000 randomly selected digits, 119 are zeroes. If the digits are
randomly selected, the proportion of zeroes should be 0.1. Consider the hypothesis
test that uses a 0.05 significance level to test the claim that the proportion of zeroes
equals 0.1.
a. What is the test statistic?
b. What are the critical values?
c. What is the p-value?
d. What is the conclusion?
e. Construct a two-sided 95% confidence interval for the proportion of zeroes and
comment on that.
f. Comment on how comparable the results are from the confidence interval and the
hypothesis test in examining the proportion of zeroes claim. Explain.
Transcribed Image Text:1. When analyzing the last digits of telephone numbers in Strong Memorial Hospital, it is found that among 1000 randomly selected digits, 119 are zeroes. If the digits are randomly selected, the proportion of zeroes should be 0.1. Consider the hypothesis test that uses a 0.05 significance level to test the claim that the proportion of zeroes equals 0.1. a. What is the test statistic? b. What are the critical values? c. What is the p-value? d. What is the conclusion? e. Construct a two-sided 95% confidence interval for the proportion of zeroes and comment on that. f. Comment on how comparable the results are from the confidence interval and the hypothesis test in examining the proportion of zeroes claim. Explain.
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