Question

Ann Perkins is concerned about ambulance response times in her neighborhood. She defines an "on-time response" as any emergency call in which an ambulance arrives within 3 minutes. She plans to obtain data from the city and compute the proportion of on-time responses in her neighborhood. She learns that the overall proportion of on-time responses in the city as a whole is 0.45. Let p represent the probability that an emergency call in her neighborhood has an on-time  response. Her null hypothesis is H0:p=0.45 and her alternative is Ha:p<0.45.

Suppose Ann obtains a p-value of 0.20 for her test. If Ann uses a significance level of 0.05, what conclusion should she reach?

Select one:

She should conclude that the null hypothesis is true, meaning the probability of an on-time response is the same in her neighborhood as in the rest of the city.

She should conclude that there is not enough evidence to reject the null hypothesis, meaning that she does not find evidence to conclude that her neighborhood's on-time response rate is less than the rest of the city's.

She should reject the null hypothesis, meaning the probability of an on-time response in her neighborhood is less than in the rest of the city.

She should conclude that the null hypothesis is false, meaning the probability of an on-time response is the same in her neighborhood as in the rest of the city.

Answer 1

since p value >0.05: Correct option is:

She should conclude that there is not enough evidence to reject the null hypothesis, meaning that she does not find evidence to conclude that her neighborhood's on-time response rate is less than the rest of the city's.