Question

A sample of 83 observations is selected from a normal population. The sample mean is 28, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.01 significance level:

H₀: μ ≤ 26

H₁: μ > 26

a. Is this a one- or two-tailed test?

(Click to select)  Two-tailed test  One-tailed test

b. What is the decision rule?

Reject H₀ when z             (Click to select)  > 2.33  ≤ 2.33  .

c. What is the value of the test statistic? (Round the final answer to 1 decimal place.)

Value of the test statistic

d. What is your decision regarding H₀?

(Click to select)  Reject  Accept  H₀.

e. What is the p-value? (Round the final answer to 4 decimal places.)

The p-value is.

Answer 1

Here p-value = 0.0002 < α = 0.01

Therefore we Reject Ho

There is sufficient evidence to conclude that µ > 26