Please answer Question number 2

' chrome File Edit View History Bookmarks People Tab Window Help . O . . My Current Courses- X m ST 350 Homework #8 X 8 Chrome File Edit \\ew x I u Course Hero x E Carolina Panthers NFL x I Carolina Panthers shol x l + . a ( 9 C' B webassign.net/web/Student/Assignment-Responses/submit?dep=28014004&tags=autosave#question648969_1 r a a pas , .. Question 3. Find the mean and the standard deviation of the sammg distribution of the sample proportion for a sample of size 50. .061 mean .034 4 standard deviation (use 3 decimal places) 2. [013 Points] PREVIOUS ANSWERS The National Center for Education Statistics reports that the proportion of college freshmen who return to the same school for their sophomore year is 0.72. Suppose we select a random sample of 400 freshmen from across the nation. Question 1. What is the expected value of the sampling distribution model for the proportion of 400 freshmen that will return to the same school for their sophomore year? Question 2. What is the standard deviation of the sampling distribution model for the proportion of 400 freshmen that will return to the same school for their sophomore year? u - .021 X (Round to 3 decimal places) Question 3. What is the probability that the proportion of these 400 freshmen that return to the same school for their sophomore year is less than 0.68? (Round to 4 decimal places) 3. [212 Points] PREVIOUS ANSWERS Just before a city referendum on a school budget, a local newspaper polls 460 voters in an attempt to predict whether the budget will pass. Suppose that, unknown to everyone, the l . - - budget actually has the support of 54% of the voters. Question. What is the probability the newspaper's sample will lead the newspaper to predict defeat of the referendum, that is, what is the probability that the newspaper's sample results in a sample proportionf: less than 0.50 in favor of the referendum? q (calculate the standard deviation off: to 4 decimal places, round your nal answer to 4 decimal places). ( ,_ . 5'; i" s. - I3