Math  /  Data & Statistics

QuestionThe test statistic of z=2.44z=2.44 is obtained when testing the claim that p>0.32p>0.32. This is a right-tailed test. Using a 0.10 significance level, complete parts (a) and (b). Click here to view the standard normal distribution table for negative z scores. Click here to view the standard normal distribution table for positive z scores. a. Find the critical value(s).
Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) A. There are two critical values; the lower critical value is \square and the upper critical value is \square . B. There is one critical value; the critical value is 1.28 . b. Should we reject H0\mathrm{H}_{0} or should we fail to reject H0H_{0} ? A. H0\mathrm{H}_{0} should not be rejected, since the test statistic is not in the critical region. B. H0\mathrm{H}_{0} should not be rejected, since the test statistic is in the critical region. C. H0\mathrm{H}_{0} should be rejected, since the test statistic is not in the critical region. D. H0\mathrm{H}_{0} should be rejected, since the test statistic is in the critical region.

Studdy Solution
Compare the test statistic z=2.44z = 2.44 to the critical value zα=1.28z_{\alpha} = 1.28.
Since z=2.44z = 2.44 is greater than zα=1.28z_{\alpha} = 1.28, the test statistic is in the critical region.
The answers are: a. The correct choice is B. There is one critical value; the critical value is 1.28. b. The correct choice is D. H0H_0 should be rejected, since the test statistic is in the critical region.

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