Question

According to Wikipedia , 25% of adults participate in athletic activities at least twice a week. However, these athletic activities change as people get older, and sometimes participants become non-participants as they get old. In a recent survey of 100 randomly selected adults, 20 indicated that they participated in a athletic activity at least twice a week. At α = 0.1, can we conclude that less than 25% of adults participate in athletic activities at least twice a week?

a) State the null and alternative hypotheses in the context of the question.

b) Calculate the value of the test statistic. Check the required condition(s) to validate the test statistic.

c) Find the p-value.

d) What conclusion can we draw?

Answer 1

Hoip Solutions * The vull and alleanalive hypothesis aae. Null hypothesis Haip < 0.25 Alternatoe hypothesis Hese na 100 X. 20, p. * The test Statistic is. US x 20 100 0.20 р-Р P(1-P) 0.20 0.25 10.25(1-0.25) -1.16 < Sign in Ha p-value a > Left failed tesh P(Z <-1.16 0.123 Since, p-value is greater than 0.1 ex fall to Reject the null hypothesis. These is not enough evidence to claim that less than 25.4 adults pashidpale in athletic activities