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A survey administered in a certain socioeconomic group gathered information to assess the self-esteem of male and female children. The following table summarized the data.
A survey administered in a certain socioeconomic group gathered information to assess the self-esteem of male and female children. The following table summarized the data.
Self-esteem Level | ||||
Gender | Low | Medium | High | Total |
Male | 30 | 56 | 19 | 105 |
Female | 42 | 50 | 8 | 100 |
Total | 72 | 106 | 27 | 205 |
a) What is the difference and corresponding 95% confidence interval in percent with low self-esteem between males and females?
b) Carry out the appropriate two-sided Hypothesis test at the 0.05 significance level by completing the following information:
H0:
HA:
c) Test Statistic:
d)p-value:
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