# Hypothesis Test H0 : μ ≥ 220 – Solve Test Statistic and p-Value

The following information is available.

- H0 : μ ≥ 220
- H1 : μ < 220

A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the .025 significance level.

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

We are only testing that the mean is less than 220, therefore this is a one-tailed test.

One-tailed test

### What is the decision rule?

Reject H0 if z > -1.96

### What is the value of the test statistic?

Use the formulas in the photo below to solve for the test statistic in this problem

-2.667

### What is your decision regarding H0?

Reject H0### What is the p-value?

Find the p-value in excel using the following formula: =NORM.DIST(test_statistic_value,0,1,TRUE)

.0038**Student:**Not Provided**Textbook:**Statistical, Techniques in Business & Economics**Course:**QNT 351