Question Solved1 Answer Consider two independent random samples with the following results: \[ \begin{aligned} n_{1}=543 & n_{2}=372 \\ x_{1}=89 & x_{2}=157 \end{aligned} \] Use this data to find the \( 90 \% \) confidence interval for the true difference between the population proportions. Step 1 of 3 : Find the point estimate that should be used in constructing the confidence Consider two independent random samples with the following results: n1​=543x1​=89​n2​=372x2​=157​ Use this data to find the 90% confidence interval for the true difference between the population proportions. Step 1 of 3 : Find the point estimate that should be used in constructing the confidence interval. Round your answer to three decimal places. AnswerHow to enter your answer (opens in new window) 2 Points Keyboard Shortcuts Consider two independent random samples with the following results: n1​=543x1​=89​n2​=372x2​=157​ Use this data to find the 90% confidence interval for the true difference between the population proportions. Step 2 of 3 : Find the margin of error. Round your answer to six decimal places. AnswerHow to enter your answer (opens in new window) Keyboard Shortcuts Consider two independent random samples with the following results: n1​=543x1​=89​n2​=372x2​=157​ Use this data to find the 90% confidence interval for the true difference between the population proportions. Step 3 of 3 : Construct the 90% confidence interval. Round your answers to three decimal places. AnswerHow to enter your answer (opens in new window) 2 Points Keyboard Shortcuts Lower endpoint: Upper endpoint:

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Transcribed Image Text: Consider two independent random samples with the following results: n1​=543x1​=89​n2​=372x2​=157​ Use this data to find the 90% confidence interval for the true difference between the population proportions. Step 1 of 3 : Find the point estimate that should be used in constructing the confidence interval. Round your answer to three decimal places. AnswerHow to enter your answer (opens in new window) 2 Points Keyboard Shortcuts Consider two independent random samples with the following results: n1​=543x1​=89​n2​=372x2​=157​ Use this data to find the 90% confidence interval for the true difference between the population proportions. Step 2 of 3 : Find the margin of error. Round your answer to six decimal places. AnswerHow to enter your answer (opens in new window) Keyboard Shortcuts Consider two independent random samples with the following results: n1​=543x1​=89​n2​=372x2​=157​ Use this data to find the 90% confidence interval for the true difference between the population proportions. Step 3 of 3 : Construct the 90% confidence interval. Round your answers to three decimal places. AnswerHow to enter your answer (opens in new window) 2 Points Keyboard Shortcuts Lower endpoint: Upper endpoint:
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Transcribed Image Text: Consider two independent random samples with the following results: n1​=543x1​=89​n2​=372x2​=157​ Use this data to find the 90% confidence interval for the true difference between the population proportions. Step 1 of 3 : Find the point estimate that should be used in constructing the confidence interval. Round your answer to three decimal places. AnswerHow to enter your answer (opens in new window) 2 Points Keyboard Shortcuts Consider two independent random samples with the following results: n1​=543x1​=89​n2​=372x2​=157​ Use this data to find the 90% confidence interval for the true difference between the population proportions. Step 2 of 3 : Find the margin of error. Round your answer to six decimal places. AnswerHow to enter your answer (opens in new window) Keyboard Shortcuts Consider two independent random samples with the following results: n1​=543x1​=89​n2​=372x2​=157​ Use this data to find the 90% confidence interval for the true difference between the population proportions. Step 3 of 3 : Construct the 90% confidence interval. Round your answers to three decimal places. AnswerHow to enter your answer (opens in new window) 2 Points Keyboard Shortcuts Lower endpoint: Upper endpoint:
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Solution:- Given that{:[n_(1)=543,n_(2)=372],[x_(1)=89,x_(2)=157]:}step (1):-{:[ bar(p)=(x_(1)+x_(2))/(n_(1)+n_(2))],[ bar(p)=(89+157)/(543+372)=(246)/(915)],[ bar(p)=0.2688]:}point estimate =0.2688Step(2){:[" Margin of error "=sqrt((P_(1)(1-P_(1)))/(n_(1))+(P_(2)(1-P_(2)))/(n_(2)))],[P_(1)=(x_(1))/(n_(1))=(89)/(543)=0.1639],[P_(2)=(x_(2))/(n_(2))=(157)/(372)=0.4220]:}substitute the values=sq ... See the full answer