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A random sample of 50 suspension helmets used by motorcycle riders and automobile race-car drivers was subjected to an impact test, and on 19 of these helmets some damage was observed. (a) Find a 95% two-sided Cl on the true proportion of helmets of this type that would show damage from this test. Use z-scores with two decimal places. Round the answers to 4 decimal places. Cl: e Textbook and Media (b) Using the point estimate of p obtained from the preliminary sample of 50 helmets, how many helmets must be tested to be 95% confident that the error in estimating the true value of p is less than 0.03? n-

A random sample of 50 suspension helmets used by motorcycle riders and automobile race-car drivers was subjected to an impact test, and on 19 of these helmets some damage was observed. (a) Find a 95% two-sided Cl on the true proportion of helmets of this type that would show damage from this test. Use z-scores with two decimal places. Round the answers to 4 decimal places. Cl: e Textbook and Media (b) Using the point estimate of p obtained from the preliminary sample of 50 helmets, how many helmets must be tested to be 95% confident that the error in estimating the true value of p is less than 0.03? n-

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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A random sample of 50 suspension helmets used by motorcycle riders and automobile race-car drivers was subjected to an impact test, and on 19 of these helmets some damage was observed. (a) Find a 95% two-sided Cl on the true proportion of helmets of this type that would show damage from this test. Use z-scores with two decimal places. Round the answers to 4 decimal places. CI:( e Textbook and Media (b) Using the point estimate of p obtained from the preliminary sample of 50 helmets, how many helmets must be tested to be 95% confident that the error in estimating the true value of pis less than 0.03? n= i
Transcribed Image Text:A random sample of 50 suspension helmets used by motorcycle riders and automobile race-car drivers was subjected to an impact test, and on 19 of these helmets some damage was observed. (a) Find a 95% two-sided Cl on the true proportion of helmets of this type that would show damage from this test. Use z-scores with two decimal places. Round the answers to 4 decimal places. CI:( e Textbook and Media (b) Using the point estimate of p obtained from the preliminary sample of 50 helmets, how many helmets must be tested to be 95% confident that the error in estimating the true value of pis less than 0.03? n= i
(b) Using the point estimate of p obtained from the preliminary sample of 50 helmets, how many helmets must be tested to be 95% confident that the error in estimating the true value of pis less than 0.03? n- eTextbook and Media (c) How large must the sample be if we wish to be at least 95% confident that the error in estimating p is less than 0.03. regardless of the true value of p? n-i
Transcribed Image Text:(b) Using the point estimate of p obtained from the preliminary sample of 50 helmets, how many helmets must be tested to be 95% confident that the error in estimating the true value of pis less than 0.03? n- eTextbook and Media (c) How large must the sample be if we wish to be at least 95% confident that the error in estimating p is less than 0.03. regardless of the true value of p? n-i
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