Previous Problem List Next (1 point) We are interested in estimating the proportion of graduates at a mid-sized universi

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Previous Problem List Next 1 Point We Are Interested In Estimating The Proportion Of Graduates At A Mid Sized Universi 1 (155.71 KiB) Viewed 22 times

Previous Problem List Next (1 point) We are interested in estimating the proportion of graduates at a mid-sized university who found a job within one year of completing their undergraduate degree. Suppose we conduct a survey and find out that 342 of the 403 randomly sampled graduates found jobs. The graduating class under consideration included 4625 students. For each of the following use appropriate computational software and be sure that your answer has at least 4 decimal digits of accuracy. (a) What is the value of the point estimate for the proportion of graduates who found a job within one year. p= (b) We need to check if the conditions for constructing a confidence interval based on these data are met. Recall that the conditions are that we expect at least 10 successes, at least 10 failures, and we are sampling independent individuals. To check the last one we need to make sure that we are gathering no more than about 10% of the total population. This is especially important since the survey is done without replacement. How many successes do we expect? np = > 10 How many failures do we expect? n(1-P) > 10 = Based on the 10% rule stated above, can we assume that the individuals are independent? ? (c) Calculate a 95% confidence interval for the proportion of graduates who found a job within one year of completing their undergraduate degree at this university. (round your critical z-score to two decimal places) Lower Bound: p - 2* X SE = Upper Bound: p + 2* X SE= (d) Select all of the following that are appropriate interpretations of the confidence interval. A. We are 95% confident that the true proportion of people who found a job within one year of graduation is between the lower bound and the upper bound. B. If we were to create many 95% confidence intervals in the same way with the same sample sizes, then all of them would contain the true proportion of the graduates who found a job within one year of graduation. C. If we were to create many 95% confidence intervals in the same way with the same sample sizes, then 95% of them would contain the true proportion of the graduates who found a job within one year of graduation. OD. We are 95% confident that the proportion of people in our sample that found a job within one year of graduation is p. (e) If we were to create a 99% confidence interval instead then the resulting interval would be ? the 95% confidence interval. Note. Voulean garnartial credit on this problem