A sample statistic and margin of error are given. Find the confidence interval likely to contain the population parameterof interest and answer the question.
-In a survey conducted in a certain city it was found that 4.6% of men and 5.4% of women were unemployed. The margin of error for each report was 0.6 percentage points. Use each sample Statistic to find a confidence interval. Can we conclude that the unemployment rate is higher Amongst women than amongst men?
A) men: $4 \%$ to $4.6 \%$
women: $5.4 \%$ to $6 \%$
yes

B) men: $4.3 \%$ to $4.9 \%$
Women: $5.1 \%$ to $5.7 \%$
yes

C) men: $4.6 \%$ to $5.2 \%$
women: $4.8 \%$ to $5.4 \%$
no

D) men: $4 \%$ to $5.2 \%$
women: $4.8 \%$ to $6 \%$
no

Question

A sample statistic and margin of error are given. Find the confidence interval likely to contain the population parameterof interest and answer the question.
-In a survey conducted in a certain city it was found that 4.6% of men and 5.4% of women were unemployed. The margin of error for each report was 0.6 percentage points. Use each sample Statistic to find a confidence interval. Can we conclude that the unemployment rate is higher Amongst women than amongst men? 
A) men: $4 \%$ to $4.6 \%$
women: $5.4 \%$ to $6 \%$
yes

B) men: $4.3 \%$ to $4.9 \%$
Women: $5.1 \%$ to $5.7 \%$
yes

C) men: $4.6 \%$ to $5.2 \%$
women: $4.8 \%$ to $5.4 \%$
no

D) men: $4 \%$ to $5.2 \%$
women: $4.8 \%$ to $6 \%$
no

Quizplus · Accepted Answer

The confidence interval for men is 4.6% ± 0.6%, which is 4% to 5.2%. For women, it is 5.4% ± 0.6%, which is 4.8% to 6%. Since the intervals overlap, we cannot conclude that the unemployment rate is definitively higher among women.

A Sample Statistic and Margin of Error Are Given 4%4 \%4%

A Sample Statistic and Margin of Error Are Given $4 \%$