You are conducting a hypothesis where the null reads H0: μ 10 You have Just concluded that you should fail to reject the null hypothesis because Z* 1.49 and Zc 1.645 Select the best conclusion statement.
A. There is overwhelming evidence that the mean is not 10.
B. There is not overwhelming evidence that the mean is different than 10.
C. Because the calculated value of Z was larger than the Zc, I rejected the null hypothesis
D. Because the Z* was only a little bigger than the Zc, the test supports the null hypothesis and we conclude u-10

Respuesta :

Answer:

Option D - Because the Z* was only a little bigger than the Zc, the test supports the null hypothesis and we conclude μ = 10

Step-by-step explanation:

In z-value problems, the normal practice is that If the calculated z-value is less than the critical z-value, we will reject the null hypothesis and accept the alternative hypothesis but if it's greater than the critical z-value, we will fail to reject the null hypothesis and say that the test was not statistically significant.

In this problem, the calculated z-value of -1.49 is greater than -1.645, so we will fail to reject the null hypothesis and say that the test was not statistically significant.

Thus, in this question, we fail to reject the null hypothesis because the calculated value of z was bigger the value of z_c.