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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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