1. Construct a 95% confidence interval to estimate the proportion of Wingate male students that are left handed. From previous class surveys 17 out of 126 male students were left-handed. Interpret your confidence interval. By interpretation, I mean something like what is contained in the class notes, which is "we are X% certain that the true proportion of ...". 2. Construct a 95% confidence interval to estimate the proportion of Wingate female students that are left-handed. From class surveys 15 out of 181 female students were left-handed. Interpret your confidence interval. 3. Does it appear that males and females have the same proportion of left-handed people? This will help you decide - if your confidence intervals from problems 1 and 2 do not overlap, you could conclude that the proportion of left-handed males does not equal the proportion of left-handed females. If they overlap, you could not rule out the possibility that the two proportions are equal.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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1. Construct a 95% confidence interval to estimate the proportion of Wingate male students that are left-
handed. From previous class surveys 17 out of 126 male students were left-handed. Interpret your
confidence interval. By interpretation, I mean something like what is contained in the class notes,
which is "we are X% certain that the true proportion of ...".
2. Construct a 95% confidence interval to estimate the proportion of Wingate female students that are
left-handed. From class surveys 15 out of 181 female students were left-handed. Interpret your
confidence interval.
3. Does it appear that males and females have the same proportion of left-handed people? This will help
you decide - if your confidence intervals from problems 1 and 2 do not overlap, you could conclude
that the proportion of left-handed males does not equal the proportion of left-handed females. If they
overlap, you could not rule out the possibility that the two proportions are equal.
Transcribed Image Text:1. Construct a 95% confidence interval to estimate the proportion of Wingate male students that are left- handed. From previous class surveys 17 out of 126 male students were left-handed. Interpret your confidence interval. By interpretation, I mean something like what is contained in the class notes, which is "we are X% certain that the true proportion of ...". 2. Construct a 95% confidence interval to estimate the proportion of Wingate female students that are left-handed. From class surveys 15 out of 181 female students were left-handed. Interpret your confidence interval. 3. Does it appear that males and females have the same proportion of left-handed people? This will help you decide - if your confidence intervals from problems 1 and 2 do not overlap, you could conclude that the proportion of left-handed males does not equal the proportion of left-handed females. If they overlap, you could not rule out the possibility that the two proportions are equal.
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