The campaign manager for a presidential candidate believes that there is a significant difference in the favorability of her candidate among female and male voters. She randomly selected 300 likely female voters and 250 likely male voters and found that 144 of the females and 124 of the males favor her candidate. Given the 95% confidence interval of (-0.10, 0.07), which of the following conclusions is most appropriate? (A) With 95% confidence, the data suggest that there is a difference between the proportions of females and males that favor the candidate since the observed difference in the proportion who favor the candidate is negative. (B) With 95% confidence, the data suggest that there is a difference between the proportions of females and males that favor the candidate since 0 is included in the interval. (C) With 95% confidence, the data do not suggest that there is a difference between the proportions of females and males that favor the candidate since the observed difference in the proportion who favor the candidate is negative. (D) With 95% confidence, the data do not suggest that there is a difference between the proportions of females and males that favor the candidate since 0 is not included in the interval. (E) With 95% confidence, the data do not sugest that there is a difference between the proportions of females and males that favor the candidate since 0 is included in the interval.
The campaign manager for a presidential candidate believes that there is a significant difference in the favorability of her candidate among female and male voters. She randomly selected 300 likely female voters and 250 likely male voters and found that 144 of the females and 124 of the males favor her candidate. Given the 95% confidence interval of (-0.10, 0.07), which of the following conclusions is most appropriate? (A) With 95% confidence, the data suggest that there is a difference between the proportions of females and males that favor the candidate since the observed difference in the proportion who favor the candidate is negative. (B) With 95% confidence, the data suggest that there is a difference between the proportions of females and males that favor the candidate since 0 is included in the interval. (C) With 95% confidence, the data do not suggest that there is a difference between the proportions of females and males that favor the candidate since the observed difference in the proportion who favor the candidate is negative. (D) With 95% confidence, the data do not suggest that there is a difference between the proportions of females and males that favor the candidate since 0 is not included in the interval. (E) With 95% confidence, the data do not sugest that there is a difference between the proportions of females and males that favor the candidate since 0 is included in the interval.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Transcribed Image Text:The campaign manager for a presidential candidate believes that there is a significant difference in
the favorability of her candidate among female and male voters. She randomly selected 300 likely
female voters and 250 likely male voters and found that 144 of the females and 124 of the males
favor her candidate. Given the 95% confidence interval of (-0.10, 0.07), which of the following
conclusions is most appropriate?
(A) With 95% confidence, the data suggest that there is a difference between the proportions of
females and males that favor the candidate since the observed difference in the proportion who
favor the candidate is negative.
(B) With 95% confidence, the data suggest that there is a difference between the proportions of
females and males that favor the candidate since 0 is included in the interval.
(C) With 95% confidence, the data do not suggest that there is a difference between the proportions
of females and males that favor the candidate since the observed difference in the proportion
who favor the candidate is negative.
(D) With 95% confidence, the data do not suggest that there is a difference between the proportions
of females and males that favor the candidate since 0 is not included in the interval.
(E) With 95% confidence, the data do not sugest that there is a difference between the proportions of
females and males that favor the candidate since 0 is included in the interval.
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