english x ← → C Untitle x Bb Mr. Sw X 54906- X + webassign.net/web/Student/Assignment-Responses/submit?dep=30508319... Q 0.09 0.0405 Home x 54906 X An article reported that 9% of married couples in the United States are mixed racially or ethnically. Consider the population consisting of all married couples in the United States. (a) A random sample of n = 50 couples will be selected from this population and p, the proportion of couples that are mixed racially or ethnically, will be computed. What are the mean and standard deviation of the sampling distribution of p? (Round your standard deviation to four decimal places.) mean standard deviation (b) Is it reasonable to assume that the sampling distribution of p is approximately normal for random samples of size n = 50? Explain. O Yes, because np <10 and n(1-p) < 10. O Yes, because np > 10 and n(1-P) > 10. No, because np < 10. O No, because np > 10. 0.09 0.0202 ✓ OX ☐ (c) Suppose that the sample size is n = 200 rather than n = 50, as in Part (b). Does the change in sample size change the mean and standard deviation of the sampling distribution of p? What are the values for the mean and standard deviation when n = 200? (Round your standard deviation to four decimal places.) mean standard deviation (d) Is it reasonable to assume that the sampling distribution of p is approximately normal for random samples of size n = 200? Explain. O Yes, because np < 10. Yes, because np > 10. O No, because np < 10. O No, because np > 10. You may need to use the appropriate table in Appendix A to answer this question. (e) When n = 200, what is the probability that the proportion of couples in the sample who are racially or ethnically mixed will be greater than 0.1? (Round your answer to four decimal places.) 4.347 x ⠀ b Succe x 7. Su x + ← → C bartleby.com/dash.... Ⓒor 田く GAn art x Ix SEARCH LIBRARY EESubmit your question to our 24/7 subject matter experts with Masters and PhDs and get a solution in as fast as 30 minutes* B I ASK AN EXPERT + Add Image LIVE CHAT CONTINUE ✰ Like you, we deeply value honesty and integrity. Learn about our honor code.