A. Point Estimate and Confidence Interval. Answer the next two questions. ZyBooks 4.1 A.a. What is the purpose of a 95% confidence interval? A.b. How does a confidence interval differ from a point estimate? B. Confidence Interval. Answer the next two questions. ZyBooks 4.1 B.a. Calculate the 90% and 95% confidence intervals of the average height of a male population, round to the nearest tenth inch. Mean height = 67 inches (point estimate) SD height = 7 inches n = 500 samples 90% Confidence Level, margin of error, m = 0.52 (0.516) inches 95% Confidence Level, margin of error, m = 0.62 (0.615) inches B.b. How does the confidence level chosen (e.g., 90%, 95%) impact the width of the confidence interval? C. Confidence interval. Answer the following three questions. ZyBooks 4.1 C.a. Interpret the 95% confidence interval above. C.b. Suppose a sample was collected from the same population with a height = 66 inches. Is this sample within the 95% confidence interval calculated in question B? C.c. If the 66 inches were outside the confidence interval, how would that affect the hypothesis test (null hypothesis)? Explain if it would reject or not reject the null hypothesis. D. Hypothesis test. Answer the following five questions. ZyBooks 4.4 D.a. Discuss the concepts of the null and alternative hypotheses. D.b. Discuss the p-value. D.c. When the p-value = 0.005, discuss the statistical significance. D.d. When the p-value = 0.005, discuss the practical significance. D.e. Discussion Type I and Type II errors. E. Describe an example from your personal or professional experiences where you could apply a hypothesis test. "Describe a practical example of using a hypothesis test as an [your job title]." Provide a reference