Basic Computation: Testing p1  p2 For one binomial experiment, 200 binomial trials produced 60 successes. For a second independent binomial experiment, 400 binomial trials produced 156 successes. At the 5%

level of signifi cance, test the claim that the probability of success for the second binomial experiment is greater than that for the fi rst.

(a) Compute the pooled probability of success for the two experiments.

(b) Check Requirements What distribution does the sample test statistic follow? Explain.

(c) State the hypotheses.

(d) Compute pˆ1  pˆ2 and the corresponding sample test statistic.

(e) Find the P-value of the sample test statistic.

(f) Conclude the test.

(g) Interpret the results.

Please provide the following information for Problems 7–12:

(a) What is the level of signifi cance? State the null and alternate hypotheses.

(b) Check Requirements What sampling distribution will you use? What assumptions are you making? Compute the sample test statistic.

(c) Find (or estimate) the P-value. Sketch the sampling distribution and show the area corresponding to the P-value.

(d) Based on your answers in parts (a)–(c), will you reject or fail to reject the null hypothesis? Are the data statistically signifi cant at level a?

(e) Interpret your conclusion in the context of the application.

Note: Answers may vary due to rounding.