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12.19. A study of 300 male and female employees in two manufacturing plants was conducted to...

12.19. A study of 300 male and female employees in two manufacturing plants was conducted to explore whether there was gender and age gap in self-esteem. The study’s participants were asked to respond to the statement "I'm happy with myself the way I am" by circling Yes or No. The study found that in in the first plant, 60% of the women and 67% of the men responded Yes. When the same statement was posed to employees in the other plant, 29% of the girls and 48% of the boys responded Yes.

To answer the research questions, two chi square tests were conducted. The first one compared the responses of men and women in the first plant, and the second one compared the responses of men and women in the second plant. The results of the analyses are summarized in the following table. Is there a difference in the responses of men and women? Explain.

GROUP	PERCENT RESPONDING "YES"	χ²	p
Plant 1: Women Men	60 67	0.30	.53
Plant 2: Women Men	29 48	4.69	.03

GROUP

PERCENT RESPONDING "YES"

χ²

p

Plant 1:

Women

Men

60

67

0.30

.53

Plant 2:

Women

Men

29

48

4.69

.03

Expert Solution

we will be testing the result based on 0.05 level of significance.

We know that when the p value is less than significance level, we reject the null hypothesis and we conclude that the result is significant

When the p value is greater than the significance level, we fail to reject the null hypothesis and we conclude that the result is not significant.

In the given data table, p value corresponding to data set for plant 1 is 0.53, this means that there is no significance difference in the responses of men and women because p value is insignificant or p value is greater than 0.05 significance level.

In the given data table, p value corresponding to data set for plant 2 is 0.03, this means that there is a significance difference in the responses of men and women because p value is significant or p value is less than 0.05 significance level.

So, it is clear that there is a significant difference in the responses of men and women for plant 2 data and no significant difference in the responses of men and women for plant 1 data.

milcah answered 1 year ago

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