A test currently used for Covid infection has a failure rate of 8%. A new test developed by John Hopkins University is expected to detect Coronavirus more accurately (lower failure rate). Researchers at JHỦ screened 180 individuals known to have the virus, and the new test failed to detect the virus in 11 cases. (15%) Is this a large sample? Construct and interpret a 95% confidence interval for the failure rate of the new test. Specify the null and the alternative hypothesis that the researchers at JHU wish to test. Calculate the test statistic d by the researchers for this test of hypothesis. State the proper conclusion and interpret the results using a-0.01.

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A test currently used for Covid infection has a failure rate of 8%. A new test developed by John Hopkins University
is expected to detect Coronavirus more accurately (lower failure rate). Researchers at JHÚ screened 180 individuals
known to have the virus, and the new test failed to detect the virus in 11 cases. (15%)
Is this a large sample?
b. Construct and interpret a 95% confidence interval for the failure rate of the new test.
c. Specify the null and the alternative hypothesis that the researchers at JHU wish to test. Calculate the test statistic
used by the researchers for this test of hypothesis. State the proper conclusion and interpret the results using a=0.01.
9-
а.
Transcribed Image Text:A test currently used for Covid infection has a failure rate of 8%. A new test developed by John Hopkins University is expected to detect Coronavirus more accurately (lower failure rate). Researchers at JHÚ screened 180 individuals known to have the virus, and the new test failed to detect the virus in 11 cases. (15%) Is this a large sample? b. Construct and interpret a 95% confidence interval for the failure rate of the new test. c. Specify the null and the alternative hypothesis that the researchers at JHU wish to test. Calculate the test statistic used by the researchers for this test of hypothesis. State the proper conclusion and interpret the results using a=0.01. 9- а.
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