Basic Computation: Testing p A random sample of 60 binomials trials resulted in 18 successes. Test the claim that the population proportion of successes exceeds 18%. Use a level of signifi cance of 0.01.

(a) Check Requirements Can a normal distribution be used for the pˆ distribution?

Explain.

(b) State the hypotheses.

(c) Compute pˆ and the corresponding standardized sample test statistic.

(d) Find the P-value of the test statistic.

(e) Do you reject or fail to reject H0? Explain.

(f) Interpretation What do the results tell you?

For Problems 7–21, please provide the following information.

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

(b) Check Requirements What sampling distribution will you use? Do you think the sample size is suffi ciently large? Explain. Compute the value of the sample test statistic.

(c) Find the P-value of the test statistic. Sketch the sampling distribution and show the area corresponding to the P-value.

(d) Based on your answers in parts

(a) to (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.