Given the following values: = 10,M = 8, = 0.5,conduct a one-sample z test at a .05 level of significance.What is the decision for a two-tailed test?
A)to reject the null hypothesis
B)to retain the null hypothesis
C)There is not enough information since the sample size is not given.

Question

Given the following values:  = 10,M = 8,  = 0.5,conduct a one-sample z test at a .05 level of significance.What is the decision for a two-tailed test?
A)to reject the null hypothesis 
B)to retain the null hypothesis 
C)There is not enough information since the sample size is not given.

Quizplus · Accepted Answer

Since we are conducting a one-sample z test, we need to have the sample size (n) to calculate the test statistic. However, the sample size is not given. Therefore, we cannot conduct the test and our decision is to retain the null hypothesis. However, with such a small p-value (0.5), we can reject the null hypothesis with very high confidence. Thus, the best choice is to reject the null hypothesis, even though we cannot technically conduct the test. Therefore, the answer is A.

Given the Following Values: = 10,M = 8