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Problem 4. Before the last presidential debates, 5096 of registered votes indicated they were planning to vote for the incumbent president in a recent poll of 1200 registered voters after the debates, 636 indicated they are planning to vote for the incumbent praident. Has there been a signicant increase in the proportion of registered voters who are planning to vote for the incumbent president? Answer question 4.1 to question 412 regarding problem 4. Question 4.1. The sampie proportion in problem 4 follows which of the following probability distribution? C) Normaidlsm'butiun O t islributvon O Binomial distribution 0 Standard normai distribution Question 33 1 pt: Question 4.2. What is the standard deviation ol sample proportion in order lo come up an interval esh'maton oi the proportion using the sample information in problem 4(i.e., ifwe are not going to do any hypothesis test and we do know the last presidential debate result}? I Question 34 1 pts Question 4.3. If we would like to come up a condence interval estimation of proportion in probiem 4 with 95% confidence level, what would be the margin of error? Question 35 1 pt: Question 4.5. If we would like to come up a condence interval estimation of propoion in problem 4with 95% confidence level, what would be the upper bound of the interval? \fQuestion 40 Question 4.9. What is the p-vatue of the test statistics [or problem 4? Question 41 Question 4.10. if u = 0.01 is used. what is mecrih'cal value? {for multiple values enter the positive one] Question 42 Question 4.11.1r'u = 0.01 is used. what is the conclusion of the hypothesis test for problem 4? o Fail m reject Lire Null minus. 0 Reject [he Null hypothesis. 0 Fail to IeJecI the Altemaiiue hypothes's. O Reiecl the Alternative hypothesis Question 43 Question 4.12. a = 0.01 is used, what is the interpretation of the hypothesis test conclusion in problem 4? 0 There is no signicant increase in the proportion of regislered voters who are planning to vole for the incumbent president 0 There is a signicant increase in the proportion of regislered voters who ate planning to vote for the incumbent president