Question

A study is designed to test H0: pi =.50 against Ha: pi doesnt equal.5. A sample size of 200 and significance level of 0.05 will be used. If pi =.4, find P(Type 2 error).

Fill in the blanks below to describe the sampling distribution of ft assuming Ho is true Mean Standard deviation Shape a. Sketch the sampling distribution of t assuming Ho is true b. Specify the rejection region when ft is used as the test statistic. Locate the rejection region on your graph from part c. Describe the sampling distribution of ean- Standard deviation Shape On your graph from part a, sketch the sampling distribution of ft if 4 d. Find the probability of failing to reject Ho if t is actually equal to .4. That is find the probability of making a Type 11 error if π- 4. Shade the area corresponding to this probability on your graph.

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