Left-handed people are rare. Suppose a researcher conducts a survey of 30 people and finds that 4 of them are left handed. (a) Construct a 95% confidence interval to estimate the true proportion of left-handed people in the population. Also, interpret the interval. (b) Research suggests that 11% of the population are left-handed. Assess this claim using your answer from (a). (c) Suppose another researcher conducts a similar survey of 61 people and finds that 10 of them are left handed. Use a 95% confidence interval compare the results of the two Tsurveys. What difference is there (if any)?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Problem 1
Left-handed people are rare. Suppose a researcher conducts a survey of 30 people and finds
that 4 of them are left handed.
(a) Construct a 95% confidence interval to estimate the true proportion of left-handed people
in the population. Also, interpret the interval.
(b) Research suggests that 11% of the population are left-handed. Assess this claim using
your answer from (a).
(c) Suppose another researcher conducts a similar sur vey of 61 people and finds that 10 of
them are left handed. Use a 95% confidence interval compare the results of the two
Tsurveys. What difference is there (if any)?
Transcribed Image Text:Problem 1 Left-handed people are rare. Suppose a researcher conducts a survey of 30 people and finds that 4 of them are left handed. (a) Construct a 95% confidence interval to estimate the true proportion of left-handed people in the population. Also, interpret the interval. (b) Research suggests that 11% of the population are left-handed. Assess this claim using your answer from (a). (c) Suppose another researcher conducts a similar sur vey of 61 people and finds that 10 of them are left handed. Use a 95% confidence interval compare the results of the two Tsurveys. What difference is there (if any)?
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