Question: Continuing on, the marketing department wanted to see if there was a difference in the proportion of males and females in their preferences for the screen ratios of the TVs. 66 of the 100 potential consumers who participated in the sample were female, 34 were male. When asked the general question: "Do you prefer a TV with a screen ratio design that is significantly larger than 4:3?" 44 of the females responded yes, and 28 of the men responded yes. Test to see if there is a significant difference in the proportions of females and males who responded positively to this question at the 0.05 level of significance.

1. State the Null and Alternative Hypotheses.
2. Determine the critical value.
3. Determine the test statistic.
4. Determine the p—value.
5. Interpret the results (decision and summary).
6. Construct a \(95 \%\) confidence interval of the difference between the proportions of females and males who responded positively to this question.

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