Question: Complete the following hypothesis test: Ho: μ = 52, Ha: μ < 52, α = 0.01 using the data below.

50 54 58 46 39 45 46 58 45 45 42 45

(a) Find t. (Give your answer correct to two decimal places.)

(ii) Find the p-value. (Give your answer correct to four decimal places.)

(b) State the appropriate conclusion.

Reject the null hypothesis, there is not significant evidence that the mean is less than 52.

Reject the null hypothesis, there is significant evidence that the mean is less than 52.

Fail to reject the null hypothesis, there is not significant evidence that the mean is less than 52.

Fail to reject the null hypothesis, there is significant evidence that the mean is less than 52.