Explain what a p-value is and explain how it is used

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Reference no: EM13909880

1. Explain what a critical value is, and explain how it is used to test a hypothesis.

2. Explain what a p-value is, and explain how it is used to test a hypothesis.

METHODS AND APPLICATIONS

3. Suppose that we wish to test H0: m = 80 versus Ha: m > 80, where s is known to equal 20. Also, suppose that a sample of n = 100 measurements randomly selected from the population has a mean of x = 85.

a. Calculate the value of the test statistic z.

b. By comparing z with a critical value, test H0 versus Ha at a = .05.

c. Calculate the p-value for testing H0 versus Ha.

d. Use the p-value to test H0 versus Ha at each of a = .10, .05, .01, and .001.

e. How much evidence is there that H0: m = 80 is false and Ha: m > 80 is true?

Reference no: EM13909880

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