5. In a survey, 1000 patients in a large metropolitan area who came to an emergency room were collected, indicating that 600 of them had true emergencies. It is of interest to test if the data provide significant evidence that more than 55% of patients have true emergencies. (A) Set up the null and alternative hypotheses for the test. Is it an upper-tailed, lower-tailed, or two- tailed test? (B) Given a = 0.01, perform the test. Make sure to (i) verify that the sample size is large enough to proceed, (ii) compute the test statistic, (iii) find the p-value of the test (or a range for it), and (iv) give the appropriate conclusion for the test. (C) If the calculated test statistic were 1.45, how would the critical value (in magnitude) and p-value change, respectively? Explain.

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5. In a survey, 1000 patients in a large metropolitan area who came to an emergency room were
collected, indicating that 600 of them had true emergencies. It is of interest to test if the data provide
significant evidence that more than 55% of patients have true emergencies.
(A) Set up the null and alternative hypotheses for the test. Is it an upper-tailed, lower-tailed, or two-
tailed test?
(B) Given a = 0.01, perform the test. Make sure to
(i) verify that the sample size is large enough to proceed,
(ii) compute the test statistic,
(iii) find the p-value of the test (or a range for it), and
(iv) give the appropriate conclusion for the test.
(C) If the calculated test statistic were 1.45, how would the critical value (in magnitude) and p-value
change, respectively? Explain.
Transcribed Image Text:5. In a survey, 1000 patients in a large metropolitan area who came to an emergency room were collected, indicating that 600 of them had true emergencies. It is of interest to test if the data provide significant evidence that more than 55% of patients have true emergencies. (A) Set up the null and alternative hypotheses for the test. Is it an upper-tailed, lower-tailed, or two- tailed test? (B) Given a = 0.01, perform the test. Make sure to (i) verify that the sample size is large enough to proceed, (ii) compute the test statistic, (iii) find the p-value of the test (or a range for it), and (iv) give the appropriate conclusion for the test. (C) If the calculated test statistic were 1.45, how would the critical value (in magnitude) and p-value change, respectively? Explain.
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