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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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