Question

The value obtained for the test​ statistic, z, in a​ one-mean z-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 11​% significance​ level, the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.

a) The test statistic in a left-tailed test is z=-1.65

the P-value is ___ (round to three decimal places as needed.)

At the 1% significance level, the data a) provides or b) does not provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis because the obtained P-value is a) less than or b) greater than the significance level.

b) the test statistic in a half-tailed test is z= 1.22.

the P-value is ___ (round to three decimal places as needed)

At the 1% significance level, the data a) provides or b) does not provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis because the obtained P-value is a) less than or b) greater than the significance level.

Answer 1

a) The test statistic in a left-tailed test is z=-1.65

the P-value is 0.049.

p-value > 0.01, fail to reject H0

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)
b) the test statistic in a half-tailed test is z= 1.22.

the P-value is 0.222

p-value > 0.01, fail to reject H0

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.