   Chapter 15, Problem 18P 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

Gender differences in dream content are well documented (see Winget & Kramer, 1979). Suppose a researcher studies aggression content in the dreams of men and women. Each participant reports his or her most recent dream. Then each dream is judged by a panel of experts to have low, medium, or high aggression content. The observed frequencies are shown in the following matrix: Is there a relationship between gender and the aggression content of dreams? Test with α =.01.

To determine

To check: Whether there is a relationship between gender and the aggression content of dreams for the given question.

Explanation

Given info:

A sample of 160 students were involved in a study based on “the relation between the gender and the IQ level”. Use α=0.01 to test the claim.

Calculations:

Step 1: Null Hypothesis and Alternate Hypothesis are:

H0: No significant relationship between the gender and aggression content of dream

H1: Significant relationship between the gender and aggression content of dream.

Step 2: For the given sample, degrees of freedom equals:

df=(R1)(C1)  where R equals number of rows and C equals columns=(21)(31)=2

With α=0.01 and df=2 , the critical value (CV)  is obtained from the χ2table as

χ2=9.210

Step 3: χ2statistics is calculated as:

χ2=(fofe)2fe

The formula to calculate expected frequency is:

fe=fcfrnwhere fr is row frequency and fc is column frequency

Substitute n=60 in the above formula and compute respective values of expected frequencies:

For the category females, the expected frequencies are:

fe,low=22×2460fe,medium=21×2460fe,high=

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