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Chapter 8: Q 57. (page 524)

Most people can roll their tongues, but many can鈥檛. The ability to roll the tongue is

genetically determined. Suppose we are interested in determining what proportion of students can roll their tongues. We test a simple random sample of 400students and find that 317can roll their tongues. The margin of error for a 95%confidence interval for the true proportion of tongue rollers among students is closest to which of the following?

a. 0.0008

b. 0.02

c. 0.03

d. 0.04

e. 0.05

Short Answer

Expert verified

Option (d) is correct.

Step by step solution

01

Given Information

It is given that (n)=400

(p^)=317400=0.7925

Confidence level=95%=0.95

02

Concept Used

Formula to be used is:

E=z伪/2脳p^脳(1-p^)n

03

Calculating Margin of Error

Corresponding to 95%confidence level, z伪2=1.96

Hence, margin of error,

E=za/2脳p^脳(1-p^)n

=1.96脳(0.7925脳(1-0.7925))400

=0.0397鈮�0.04

Option (d) is correct.

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Most popular questions from this chapter

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