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Manual Transmission Automobiles In a recent year, 6% of cars sold had a manual transmission. A random sample of college students who owned cars revealed the following: out of 130 cars, 30 had manual transmissions. Estimate the proportion of college students who drive cars with manual transmissions with 95% confidence. Round intermediate and final answers to at least three decimal places.

Manual Transmission Automobiles In a recent year, 6% of cars sold had a manual transmission. A random sample of college students who owned cars revealed the following: out of 130 cars, 30 had manual transmissions. Estimate the proportion of college students who drive cars with manual transmissions with 95% confidence. Round intermediate and final answers to at least three decimal places.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Manual Transmission Automobiles In a recent year, 6% of cars sold had a manual transmission. A random sample of college students who owned cars revealed the following: out of 130 cars, 30 had manual transmissions. Estimate the proportion of college students who drive cars with manual transmissions with 95% confidence. Round intermediate and final answers to at least three decimal places. <p<
Transcribed Image Text:Manual Transmission Automobiles In a recent year, 6% of cars sold had a manual transmission. A random sample of college students who owned cars revealed the following: out of 130 cars, 30 had manual transmissions. Estimate the proportion of college students who drive cars with manual transmissions with 95% confidence. Round intermediate and final answers to at least three decimal places. <p<
Sample Question Manual Transmission Automobiles In a recent year, 6% of cars sold had a manual transmission. A random sample of college students who owned cars revealed the following: out of 128 cars, 30 had manual transmissions. Estimate the proportion of college students who drive cars with manual transmissions with 99% confidence. Round intermediate and final answers to at least three decimal places. Explanation Formula for a Specific Confidence Interval for a Proportion 2012 √2² pq pq <p<p+za/2\ n n when np and nq are each greater than or equal to 5. Since a 1-0.99-0.01, Za/2=2.58. Find and . X 30 n = 0.234 q=1-p=1-0.234 = 0.766 Calculate the confidence interval. M pq pq -²a/2 n n (0.234) (0.766) (0.234) (0.766) 0.234-2.58 <p<0.234+2.58 128 128 0.234-0.097<p<0.234+0.097 0.137<p<0.331 Hence, we can be 99% confident that the proportion of college students who drive stick shift cars is between 13.7% and 33.1%, based on a sample of 128 students. 128 <p<p+za/2\
Transcribed Image Text:Sample Question Manual Transmission Automobiles In a recent year, 6% of cars sold had a manual transmission. A random sample of college students who owned cars revealed the following: out of 128 cars, 30 had manual transmissions. Estimate the proportion of college students who drive cars with manual transmissions with 99% confidence. Round intermediate and final answers to at least three decimal places. Explanation Formula for a Specific Confidence Interval for a Proportion 2012 √2² pq pq <p<p+za/2\ n n when np and nq are each greater than or equal to 5. Since a 1-0.99-0.01, Za/2=2.58. Find and . X 30 n = 0.234 q=1-p=1-0.234 = 0.766 Calculate the confidence interval. M pq pq -²a/2 n n (0.234) (0.766) (0.234) (0.766) 0.234-2.58 <p<0.234+2.58 128 128 0.234-0.097<p<0.234+0.097 0.137<p<0.331 Hence, we can be 99% confident that the proportion of college students who drive stick shift cars is between 13.7% and 33.1%, based on a sample of 128 students. 128 <p<p+za/2\
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