Question

The p-value for this test statistic is 0.235. Ann will use a significance level of 0.05 for her test. What conclusion should she reach?

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 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 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 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

Decision rule using P-value and alpha.

P-value = 0.235 and alpha = significance level = 0.05

Decision rule: If P-value > alpha then fail to reject the null hypothesis otherwise reject the null hypothesis.

Here P-value (0.235) is > alpha(0.05), so fail to reject the null hypothesis.

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 neighbourhood's on-time response rate is less than the rest of the city's.