a. Explanation Given info: A sample of 90 participants were involved in a study. The distribution is given in the question. Use α = 0.05 to test the claim. Prosocial Violent Neutral Total Helped 24 14 16 54 Didn’t help 6 16 14 36 Total 30 30 30 90 Calculation: Step 1: Null Hypothesis and Alternate Hypothesis are: H 0 : There is no significant relationship between the two groups. H 1 : There is significant relationship between the two groups. Step 2: For the given sample, degrees of freedom equals: d f = ( R − 1 ) ( C − 1 ) w h e r e R e q u a l s n u m b e r o f rows and C equals columns = ( 2 − 1 ) ( 3 − 1 ) = 2 With α = 0.05 and d f = 2 , the critical value (CV) is obtained from the χ 2 − t a b l e as χ 2 = 5.991 Step 3: χ 2 − s t a t i s t i c s is calculated as: χ 2 = ∑ ( f o − f e ) 2 f e The formula to calculate expected frequency is: f e = f c f r n ... w h e r e f r i s r o w f r e q u e n c y a n d f c i s c o l u m n f r e q u e n c y Substitute n = 54 in the above formula and compute respective values of expected frequencies: For the row 1, the expected frequencies are: f e , h e l p e d _ p r o = 30 × 54 90 f e , h e l p e d _ v i o l e n t = b. To determine To Find: The value of phi-coefficient for the given question.

Essentials of Statistics for the Behavioral Sciences

8th Edition

ISBN: 9781133956570

Author: Frederick J Gravetter, Larry B. Wallnau

Publisher: Cengage Learning

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Chapter 15, Problem 14P

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To Find: If there is significant relationship between the type of game played and helping behavior

To determine

To Find: The value of phi-coefficient for the given question.

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Chapter 15 Solutions

Essentials of Statistics for the Behavioral Sciences

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If there is significant relationship between the type of game played and helping behavior

Solution Summary: The author evaluates whether there is a significant relationship between the type of game played and helping behavior.

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To Find: If there is significant relationship between the type of game played and helping behavior

To Find: The value of phi-coefficient for the given question.

Chapter 15 Solutions