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onsider the hypothesis test​ below, with nequals63 and p overbarequals0.41. Upper H 0​: pequals0.36 Upper H...

onsider the hypothesis test​ below, with nequals63 and p overbarequals0.41. Upper H 0​: pequals0.36 Upper H Subscript Upper A​: pnot equals0.36 alphaequals0.01 a. State the decision rule in terms of the critical value of the test statistic. b. State the calculated value of the test statistic. c. State the conclusion. a. Select the correct choice below and fill in the answer​ box(es) to complete your choice. ​(Round to two decimal places as​ needed.) A. Reject the null hypothesis if the calculated value of the test​ statistic, z, is greater than nothing or less than nothing. ​Otherwise, do not reject the null hypothesis. B. Reject the null hypothesis if the calculated value of the test​ statistic, z, is greater than nothing and less than nothing. ​Otherwise, do not reject the null hypothesis. C. Reject the null hypothesis if the calculated value of the test​ statistic, z, is less than nothing. ​Otherwise, do not reject the null hypothesis. D. Reject the null hypothesis if the calculated value of the test​ statistic, z, is greater than nothing. ​Otherwise, do not reject the null hypothesis.

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Answer #1

Given that, n = 63 and

The null and the alternative hypotheses are,

since, it is two-tailed test, critical values at 0.01 level of significance are, Z* = ± 2.58

a) Decision rule: Reject the null hypothesis if the calculated value of the test​ statistic, z, is greater than 2.58 or less than -2.58. ​Otherwise, do not reject the null hypothesis.

b) Test statistic is,

Test statistic = Z = 0.83

c) Since, test statistic = 0.83 < 2.58

we fail to reject the null hypothesis (H0).

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