Question

An agency that hires out clerical workers claims its workers can type, on average, at least 60 words per minute (wpm). To test the claim, a random sample of 50 workers from the agency were given a typing test, and the average typing speed was 58.8 wpm. A one-sample t-test was conducted to investigate whether there is evidence that the mean typing speed of workers from the agency is less than 60 wpm. The resulting p-value was 0.267.

Which of the following is a correct interpretation of the p-value?
A. The probability is 0.267 that the mean typing speed is 60 wpm or more for workers from the agency.
B. The probability is 0.267 that the mean typing speed is 60 wpm or less for workers from the agency.
C. The probability is 0.267 that the mean typing speed is 58.8 wpm or less for workers from the agency.
D. If the mean typing speed of workers from the agency is 60 wpm, the probability of selecting a sample of 50 workers with mean 58.8 wpm or less is 0.267.
E. If the mean typing speed of workers from the agency is less than 60 wpm, the probability of selecting a sample of 50 workers with mean 58.8 wpm or less is 0.267.

Answer 1

D.) If the mean typing speed of workers from the agency is 60 wpm, the probability of selecting a sample of 50 workers with mean 58.8 wpm or less is 0.267.

Explanation:

In this case, the p value is what let's us determine the probability of getting the desired outcome. This would be 60 wpm.

If it is lower than the desired outcome, we know that this inference is not the actual mean of the data.