Question

H0: μ=52 versus H1: μ<52 with a sample of 9 observations. Her test statistic was t=−2.83. Assume that the conditions for inference were met. What is the approximate P-value for Evelynn's test?

a) 0.005
b) 0.01
c) 0.02
d) 0.05

Answer 1

The approximate P-value for Evelynn's test is 0.013, which is closest to 0.01.

Step-by-step explanation:

To find the approximate P-value for Evelynn's test, we need to find the area to the left of the test statistic t=-2.83 under the t-distribution with 9-1=8 degrees of freedom. Since the alternative hypothesis is μ<52, we are interested in the left tail of the distribution. By looking up the t-value -2.83 in the t-table or using a calculator, we find that the approximate P-value is 0.013.

Therefore, the correct answer is (b) 0.01.