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Chapter 11: Q. 11.113 (page 477)

Folic Acid and Birth Defects. Refer to Exercise 11.107 and determine and interpret a 98% confidence interval for the difference between the rates of major birth defects for babies born to women who have taken folic acid and those born to women who have not.

Short Answer

Expert verified

There is 98% interval for the difference between the proportions is(-0.0188,0.008)

Step by step solution

01

Given Information

The given values are,

x1=35,n1=2701,x2=47,n2=2052,伪=0.02.

02

Explanation

The formula for p~1is given by,

p~1=x1n1

The formula for p~2is given by,

p~2=x2n2

The formula for zis given by,

z=p~1-p~2p~p1-p~p1n1+1n2

The value of p~1is calculated as,

p~1=x1n1=352701=0.013

The value of p~2is calculated as,

p~2=x2n2=472052=0.022

Calculate the value ofza2with 98%confidence level is.

za2=z0.2/2

=z0.01=2.326

The 98%confidence interval is.

=(0.013-0.022)卤2.3260.013(1-0.013)2701+0.022(1-0.022)2052

=-0.009卤0.0098

Therefore, there is98%interval for the difference between the proportion is (-0.0188,0.008)

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Most popular questions from this chapter

Obtain a sample size that will ensure a margin of error of at most the one specified.

Margin of error=0.04

Confidence level=99%

a. Determine the sample proportion.

b. Decide whether using the one-proportion z-test is appropriate.

c. If appropriate, use the one-proportion z-test to perform the specified hypothesis test.

x=8

n=40

H0:p=0.3

H2:p<0.3

伪=0.10

Margin of error=0.02

Confidence level=90%

Educated guess=0.1

(a) Obtain a sample size that will ensure a margin of error of at most the one specified (provided of course that the observed value of the sample proportion is further from 0.5that of the educated guess.

(b). Compare your answer to the corresponding one and explain the reason for the difference, if any.

11.91 Economic Stimulus. In a national poll, 1053 U.S. adults were asked, "As you may know, Congress is considering a new economic stimulus package of at least 800 billion dollars. Do you favor or oppose Congress passing this legislation?" Of those sampled, 548 favored passage.
a. At the 5% significance level, do the data provide sufficient evidence to conclude that a majority (more than 50% ) of U.S. adults favored passage?
b. The headline on the website featuring the survey read, "In U.S., Slim Majority Supports Economic Stimulus Plan." In view of your result from part (a), discuss why the headline might be misleading.
c. How could the headline be made more precise?

Government Surveillance. Gallup conducted a national survey of 1008American adults, asking "As you may know, as part of its efforts to investigate terrorism, a federal government agency obtained records from larger U.S. telephone and Internet companies in order to compile telephone call logs and Internet communications. Based on what you have heard or read about the program, would you say that you approve or disapprove of this government program?" Of those surveyed, 534said they disapprove.

a. Determine and interpret the sample proportion.

b. At the 5%significance level, do the data provide sufficient evidence to conclude that a majority (more than 50%) of American adults disapprove of this government surveillance program?
See all solutions

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