You may need to use the appropriate appendix table or technology to answer this question.A magazine reports that women trust recommendations from a particular social networking site more than recommendations from any other social network platform. But does trust in this social networking site differ by gender? The following sample data show the number of women and men who stated in a recent sample that they trust recommendations made on this particular social networking site. WomenMenSample150170Trust RecommendationsMade on the social networking site123102(a)What is the point estimate of the proportion of women who trust recommendations made on this particular social networking site? (b)What is the point estimate of the proportion of men who trust recommendations made on this particular social networking site? (c)Provide a 95% confidence interval estimate of the difference between the proportion of women and men who trust recommendations made on this particular social networking site. (Round your answers to four decimal places.) to

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Description: You may need to use the appropriate appendix table or technology to answer this question.A magazine reports that women trust recommendations from a particular social networking site more than recommendations from any other social network platform. Bu

Given: Total number of women (n1) is 150. Number of women who trust recommendations made on this particular social networking site is 123, that is, y1=123. Total number of men (n2) is 170. Number of men who trust recommendations made on this particular social networking site is 102, that is, y2=102.(a) Estimate of the proportion of women who trust recommendations made on this particular social networking site can be obtained as: p^1=y1n1=123150=0.82 Therefore, the estimate of the proportion of women who trust recommendations made on this particular social networking site is 0.82.(b) Estimate of the proportion of men who trust recommendations made on this particular social networking site can be obtained as: p^2=y2n2=102170=0.60 Therefore, the estimate of the proportion of men who trust recommendations made on this particular social networking site is 0.60.(c) The 95% confidence level implies 0.05 significance level. At 0.05 α=0.05, the Z-critical value from the Z table is: Zα2=Z0.052=Z0.025=±1.96 Hence, 95% confidence interval is: CI=p^1-p^2-Z0.025p^1(1-p^1)n1+p^2(1-p^2)n2,p^1-p^2+Z0.025p^1(1-p^1)n1+p^2(1-p^2)n2=0.82-0.60-1.960.82(1-0.82)150+0.60(1-0.60)170,0.82-0.60+1.960.82(1-0.82)150+0.60(1-0.60)170=(0.1241,0.3159) Therefore, 95% confidence interval estimate of the difference between the proportion of women and men who trust recommendations made on this particular social networking site is (0.1241,0.3159).

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You may need to use the appropriate appendix table or technology to answer this question.

A magazine reports that women trust recommendations from a particular social networking site more than recommendations from any other social network platform. But does trust in this social networking site differ by gender? The following sample data show the number of women and men who stated in a recent sample that they trust recommendations made on this particular social networking site.

	Women	Men
Sample	150	170
Trust Recommendations Made on the social networking site	123	102

(a)

What is the point estimate of the proportion of women who trust recommendations made on this particular social networking site?

(b)

What is the point estimate of the proportion of men who trust recommendations made on this particular social networking site?

(c)

Provide a 95% confidence interval estimate of the difference between the proportion of women and men who trust recommendations made on this particular social networking site. (Round your answers to four decimal places.)

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