An agency that hires out clerical workers claims its workers can type, on average, at least 60 words per minute (wpm

Question

). 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
p
-value?

The probability is 0.267 that the mean typing speed is 60 wpm
or more for workers from the agency.
A

The probability is 0.267 that the mean typing speed is 60 wpm
or less for workers from the agency.
B

The probability is 0.267 that the mean typing speed is 58.8 wpm
or less for workers from the agency.
C

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.
D

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.
E

Is E correct?

Answer 1

A

Answer 2

No, E is not correct. The p-value does not provide information about the direction of the difference between the sample mean and the hypothesized value, only the strength of evidence against the null hypothesis.