I need help with these stats questions:

Questions 4, 5, 6, and 7 are based on the following set-up. Question 3 provides the random input values for digits indicated as A, B, C, D, E and F in what follows. Data from the Center for Disease Control estimates that about 3A.4% of teenagers were overweight in 2008. The denition of overweight is a body mass index (BMI) of over 25. The percentage was very similar for boys and girls. A professor in public health at a major university wants to determine whether the proportion has lowered since 2008. He samples 8B0 randomly selected incoming freshman at universities around the country. Question 3 (0.01 points) ~/ Saved The following provides the random inputs you will need for questions in Section 2. Select the option with answer 4 to continue. Question 4 (2 points) If you want to maintain a significance level of 0.0D, what is the rejection criterion of the null hypotheses in terms of the large sample z test statistic? (This must be in terms of the test statistic Z and must provide the numerical value of the critical value.) Question 5 (2 points) Once he selects 8BO incoming freshman at universities, he uses the BMI measurement and finds that 2C2 of them are overweight. Under the significance level of 0.0D, what would be the result of large sample z-test? ( a) Reject the null hypothesis O b) Do not reject null hypothesis Question 6 (2 points) Suppose the professor maintains to use the same significance level 0.0D. What is the power of the test to detect a decrease of F% on the proportion of the overweight among teenagers if the sample size if 8BO?Question 7 (2 points) Suppose the true proportion of the overweight among teenagers is p=%. In a simple random sample of size m, if the number of overweight is E, the large sample z-test will result in the following: 0 a) Type-1 error 0 b) Type-2 error 0 c) Correct decision