Question

Kellen was testing h0:μ=0h0​:μ=0 versus ha:μ>0ha​:μ>0 with a sample of 88 observations. Her sample mean was 3.13.1, and her sample standard deviation was 1.21.2. Assume that the conditions for inference were met. Which of the following represents the p-value for Kellen's test?

a) P(Z>2.58)P(Z>2.58)
b) P(Z<2.58)P(Z<2.58)
c) P(Z>1.44)P(Z>1.44)
d) P(Z<1.44)P(Z<1.44)

Answer 1

The p-value for Kellen's test is P(Z > 1.44).

Step-by-step explanation:

To determine the p-value for Kellen's test, we need to find the probability of observing a sample mean of 3.1 or greater given the null hypothesis. Since the alternative hypothesis is μ > 0, we want to find the probability of a z-score greater than the observed sample mean. The correct representation of the p-value is P(Z > 1.44). Therefore, the answer is (c) P(Z > 1.44).