A two-tailed, one-sample difference of means test is conducted on a sample. The

Question

A two-tailed, one-sample difference of means test is conducted on a sample. The level of confidence is 0.95 and the test statistic from this test is Z = 1.82. Use this information to answer the following questions.

What is the -value of the test statistic?

Sketch the standard normal distribution and shade the area of rejection for H0 ( = 0.05). You can go to the “Insert” tab then select “shapes” to help you shade in areas

If this were a hypothesis test, based on the -value found in part (a) and = 0.01, what would your decision be regarding H0 (reject or accept)?

Explanation / Answer

The P-Value is 0.068759.

Reject if p<a
a=0.01
therefore there is no reason to reject the hypothesis.
H0 is not rejected.Therefore accepted

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