   Chapter 8.4, Problem 3LC Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Solutions

Chapter
Section Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

A researcher obtains z = 2.43 for a hypothesis lest. Using α = .01, the researcher should reject the null hypothesis for a one-tailed test hut fail to reject for a two-tailed test. (True or false?)

To determine

To check: Whether the given statement is true or false.

Explanation

A researcher obtains z=2.43 for a hypothesis test, using α=0.01

For a one tailed test critical value is calculated as:

C.I=1α=10.01=0.99

The z score value for area 0.99 using z table is 2.33, which means critical value of z score is 2.33 and given calculated z score value is 2.43. As the critical value is less than the calculated value so reject the null hypothesis.

The hypothesis testing method says that as if the critical value is greater than the calculated value then accepts the null hypothesis otherwise reject the null hypothesis.

For a two tailed test critical value is calculated as:

C

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