Do you view a chocolate bar as delicious or as fattening? Your attitude may depend on your gender. In a study of American college students, Rozin, Bauer, and Catanese (2003) examined the importance of food as a source of pleasure versus concerns about food associated with weight gain and health. The following results are similar to those obtained in the study. The scores are a measure of concern about the negative aspects of eating.
a. Based on these results, is there a significant difference between the attitudes for males and for females? Use a two-tailed test with = .05.
b. Compute r2, the percentage of variance accounted for by the gender difference, to measure effect size for this study.
c. Write a sentence demonstrating how the result of the hypothesis test and the measure of effect size would appear in a research report.
To find: Whetherthere is a significant difference between the attitudes of males and females using two-tailed testat .
Two samples of males and females each with size 9 and 15 have means 33 and 42 respectively. Similarly, both of them have sum of squared difference (SS) equal to 740 and 1240 respectively.
Stating the testing hypotheses:
Step 2: For the given sample, the t-statistics will have degrees of freedom equals:
For a two-tailed test with and , the critical value (CV) is obtained from the t-table as
Step 3: t-statistics is calculated using formula:
But before that calculate pooled variance, , using formula:
Substitute 740for , 1240 for and 8 for and 14 in the above formula
To Find: The value of to measure effect size for the mean difference
To describe: The outcome of the hypothesis test and the measure of the effect size.
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