A fashion magazine provides a yearly subscription service. According to historical data, about 72% of the customers renew their subscriptions each year. The manager of the magazine office believes the percentage would be higher if they change their service to be a monthly subscription. After 12 months, the manager randomly selected 500 customers and found 387 of them renewed the subscription. She conducts a hypothesis test where H0: p = 0.86, and Ha: p <0.86 at the α = 0.5 level. She finds the p-value is 0.0323.
Select one or more:
A. 0.0323 is the probability of having 289 or more customers renew teir subscription in a sample of 350 customers given that the true proportion of renewing subscription is 0.86.
B. 0.0323 is the probability of having exacly 289 customers renew their subscrption in a sample of 350 customers given that the true proportion of those who renew their subscription is 0.86.
C. 0.0323 is the probability of having 289 or fewer customers renew their subscription in a sample of 350 customers given that the true proportion of thos who renew their subscription is 0.86.
D. Because the p-value 0.0323 is ont higher than 0.05, it is not statistically significant at that level, so we fail to reject the null hypothesis.
E. Because the p-value 0.0323 is less than 0.05, it is not statistically significant at that level, and so we should reject the null hypothesis in favor of the alternative hypothesis.