BACK Chapter 3, Section 3, Exercise 082 Information about the proportion of a sa
ID: 3322172 • Letter: B
Question
BACK Chapter 3, Section 3, Exercise 082 Information about the proportion of a sample that agrees with a certain statement is given below. Use StatKey or other technology to estimate the standard error from a bootstrap distribution generated from the sample. Then te the standard error to give a 5% eon den e interva' for the proportion ef th" population to agree-th the taten et Strey tip, ute CI for Single Proportion and then "Edit Data to enter the sample information. Click here to access Statkey In a random sample of 250 people, 180 agree. Round your answer to three decimal places Standard error Find the 95% con dence interval. Round your answers to three decimal places The 95% confidence, interval is | toExplanation / Answer
Standard error of the mean = SEM = x(N-x)/N3 = 0.028
Standard error is 0.028
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= (1-CL)/2 = 0.025
Standard normal deviate for = Z = 1.960
Proportion of positive results = P = x/N = 0.720
Lower bound = P - (Z*SEM) = 0.664
Upper bound = P + (Z*SEM) = 0.776
95% Confidennce interval is 0.664 to 0.776
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