Question

The value obtained for the test statistic, z, in a one-mean 2-test is given. Whether the test is two tailed, left tailed, or right tailed is also specified. For parts (a) and (b). determine the P-value and decide whether, at the 1% significance level, the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis. a. The test statistic in a two-tailed test is z= -1.42. The P-value is (Round to three cocimal places as needed.) At the 1% significance level, the data does not provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis because the obtained P-value is greater than the significance level. b. The test statistic in a two-tailed test is z=0.33. The P-value is (Round to three decimal places as needed.) sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis because the obtained At the 1% significance level, the data P-value is the significance level. Click to select your answer(s) and then click Check Answer. All parts showing Clear All Check Answer

Answer 1

Solution:

a) The value of the two tailed test statistic is Z = -1.42

P Value = 0.1556. From Z table

P Value = 0.156

At the 1% significance level the data does not provide sufficient evidence to reject the null hypothesis Ho in favour of the alternative hypothesis Ha because the obtained P Value is greater than the significance level.

b) The value of the two tailed test statistic is

Z = 0.33

P Value = 0.7414 from Z table

P Value = 0.741

At the 1% significance level the data does not provide sufficient evidence to reject the null hypothesis Ho in favour of the alternative hypothesis Ha because the obtained P Value is greater than the significance level.