The Programme for International Student Assessment found that 48% of elementary school aged girls reported that they were not confident in their abilities in math. Jay is interested in finding out whether this proportion is higher for women in college. He conducts a study where the conditions of inference are met and obtains the following results, using an α=0.05α=0.05 significance level. What should Jay's alternative hypothesis be?Select one:a. p^>0.48p^>0.48b. p^>0.545p^>0.545c. p>0.48p>0.48d. p>0.545p>0.545e. p=0.48p=0.48f. p^≠0.48p^≠0.48g. p≠0.545p≠0.545 What is the appropriate standard error to use when conducting the above test?a. 0.0353b. 0.001c. 0.0339d. 0.048Which of the following is an accurate interpretation of the P-value Jay found?Select one:a. It is not significant, so it has no interpretation. b. It is the probability that the true population proportion is 0.48.c. It is the probability of finding a sample proportion of 0.545 or larger, given that the true population proportion is 0.48.d. It is the true proportion of college women who report that they are confident in their math abilities.