It was claimed that the proportion of Americans who select jogging as one of their recreational activities is p = 0.25. A shoe manufacturer thought that p was larger than 0.25 and decided to test the null hypothesis H0 : p = 0.25 against the alternative hypothesis H1 : p > 0.25. Out of a random sample of 5757 people who took the survey, 1497 chose jogging.

(a) What is your conclusion at a significance level of = 0.05?

(b) Find the P-value for this test.