Question

For testing the following hypotheses:

H0: μ=126 H1: μ≠126

For a random sample of 16 individuals, the computed Z-test statistic was equal to -1.77 Calculate the p-value.

Based on your p-value answer, would this Z-test be considered significant at alpha equal to 0.01? Why or why not?

Answer 1

the hypotheses are

This is a 2 tailed test as the alternative hypothesis has "not equal to"

The z test statistics is -1.77. the p-value is the sum of areas under the left and the right tails of normal distribution.

ans: p-value =0.0768

We would reject the null hypothesis and conclude that the z-test is significant at alpha = 0.01 if the p-value is less than 0.01.

Here the p-value of 0.0768 is greater than alpha=0.01. Hence we do not reject the null hypothesis.

We conclude that there is not sufficient evidence to support the claim than

Hence this z-test is not considered significant at