A school superintendent wanted to know whether there were differences between the high schools in her district with regards to the proportion of students who do not live with their biological parents.   She surveyed 200 students from each of the two high schools – East and West.   The proportion of students from the survey at East who do not live with their biological parents is 3.4%. The proportion of students from the survey at East who do not live with their biological parents is 4.2%. Using a 95% confidence interval (2SD or Theory based), can the superintendent conclude that there is a difference between East and West with respect to the proportion of students who do not live with their biological parents. Group of answer choices Yes she can conclude there is a difference because the confidence intervals overlap. No she cannot conclude there is a difference because the confidence intervals overlap. Yes she can conclude there is a difference because the confidence intervals don’t overlap. No she cannot conclude there is a difference because the confidence intervals don’t overlap.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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A school superintendent wanted to know whether there were differences between the high schools in her district with regards to the proportion of students who do not live with their biological parents.   She surveyed 200 students from each of the two high schools – East and West.   The proportion of students from the survey at East who do not live with their biological parents is 3.4%. The proportion of students from the survey at East who do not live with their biological parents is 4.2%.

Using a 95% confidence interval (2SD or Theory based), can the superintendent conclude that there is a difference between East and West with respect to the proportion of students who do not live with their biological parents.

Group of answer choices

Yes she can conclude there is a difference because the confidence intervals overlap.

No she cannot conclude there is a difference because the confidence intervals overlap.

Yes she can conclude there is a difference because the confidence intervals don’t overlap.

No she cannot conclude there is a difference because the confidence intervals don’t overlap.

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