# T-statistics, P-Values, and Hypothesis Testing

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Consider the following hypotheses test.

Ho: m Â³ 80

Ha: m < 80

A sample of 121 provided a sample mean of 77.3. The population standard deviation is known to be 16.5.

a. Compute the value of the test statistic.

b. Determine the p-value; and at 93.7% confidence, test the above hypotheses.

c. Using the critical value approach at 93.7% confidence, test the hypotheses.

https://brainmass.com/statistics/hypothesis-testing/statistics-value-hypothesis-testing-245012

#### Solution Preview

a. Compute the value of the test statistic.

Given xbar=77.3, sigma=16.5 and n=121. Then the value of the test statistic is

z=(xbar-80)/sigma*sqrt(n)

...

#### Solution Summary

This is a tutorial on how to conduct a hypothesis test. Instructional aid on how to determine the value of the test statistic, the p-value, and the critical value is given.

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