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Chapter 6, Section 3-D, Exercise 131 Consider random samples of size drawn from

ID: 3369246 • Letter: C

Question

Chapter 6, Section 3-D, Exercise 131

Consider random samples of size drawn from population with proportion and random samples of size drawn from population with proportion .

(a) Find the standard error of the distribution of differences in sample proportions, . Round your answer for the standard error to three decimal places. standard error the absolute tolerance is +/-0.001 SHOW HINT LINK TO TEXT

(b) Are the sample sizes large enough for the Central Limit Theorem to apply? Yes No

Chapter 6, Section 3-D, Exercise 132

Consider random samples of size 298 drawn from population A with proportion 0.19 and random samples of size 291 drawn from population B with proportion 0.32.

the absolute tolerance is +/-0.001

LINK TO TEXT

Chapter 6, Section 3-D, Exercise 135

Consider random samples of size 40 drawn from population A with proportion 0.35 and random samples of size 32 drawn from population B with proportion 0.22.

the absolute tolerance is +/-0.001

LINK TO TEXT

Chapter 6, Section 3-D, Practice Problem 6.3-D.L

If random samples of the given sizes are drawn from populations with the given proportions, find the mean and standard error of the distribution of differences in sample proportions, p^1-p^2.

n1=140 from p1=0.8 and n2=90 from p2=0.5

Chapter 6, Section 3-CI, Exercise 139

Use the normal distribution to find a confidence interval for a difference in proportions p1-p2 given the relevant sample results. Assume the results come from random samples.

Chapter 6, Section 3-CI, Exercise 141

Use the normal distribution to find a confidence interval for a difference in proportions p1-p2 given the relevant sample results. Assume the results come from random samples.

Chapter 6, Section 3-CI, Exercise 150

Chapter 6, Section 3-D, Exercise 132

Consider random samples of size 298 drawn from population A with proportion 0.19 and random samples of size 291 drawn from population B with proportion 0.32.

Explanation / Answer

Chapter 6, Section 3-D, Exercise 132

Sp1-p2=sqrt(p1^ (1-p1^)/n1+p2^(1-p2^)/n2

=sqrt(0.19(1-0.19)/298+0.32(1-0.32)/291)

=0.036

ANSWER(a)0.036

Since n1,n2 are both greater than 30

large samples

Follows central limit thoerem

Solutionb

(b) Are the sample sizes large enough for the Central Limit Theorem to apply?

(YES)

Chapter 6, Section 3-D, Exercise 132

Sp1-p2=sqrt(p1^ (1-p1^)/n1+p2^(1-p2^)/n2

=sqrt(0.19(1-0.19)/298+0.32(1-0.32)/291)

=0.036

ANSWER(a)0.036

Since n1,n2 are both greater than 30

large samples

Follows central limit thoerem

Solutionb

(b) Are the sample sizes large enough for the Central Limit Theorem to apply?

(YES)

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