10.17 Refer to Exercise 10.16. Assuming that equal sample sizes will be taken from the two populations, how large a sample should be taken from each of the populations to obtain a 99% confidence interval for pA - pB with a width of at most .02? (Hint: Use p^ A = 0.3 and p^ B = .15 from Exercise 10.16. 10.16 A random sample of 250 observations is taken from population A, which has 30% ofits population living in poverty: ,- 3. A second random sample of size 350 is taken indepen-dently taken from population B, which has 15% of its population living in poverty: Tg - .15.a. What are the mean and standard deviation of the difference in the sample propor-tions, A - N?b. Describe the shape of the sampling distribution of the difference in the sampleproportions, , - ?C. Is it appropriate to use the normal approximation to the sampling distribution ofthe difference in the sample proportions, A - îg?10.17 Refer to Exercise 10.16. Assuming that equal sample sizes will be taken from the two popu-lations, how large a sample should be taken from each of the populations to obtain a 99% confi-dence interval for TA - Tg with a width of at most 02? (Hint: Use A - 3 and g - .15 fromExercise 10.16.

Given information: Confidence level = 0.99 Level of significance = 0.01 The sample proportion of A,…

Answered: 10.17 Refer to Exercise 10.16. Assuming…

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10.17 Refer to Exercise 10.16. Assuming that equal sample sizes will be taken from the two populations, how large a sample should be taken from each of the populations to obtain a 99% confidence interval for pA - pB with a width of at most .02? (Hint: Use p^ A = 0.3 and p^ B = .15 from Exercise 10.16.

10.16 A random sample of 250 observations is taken from population A, which has 30% of
its population living in poverty: ,- 3. A second random sample of size 350 is taken indepen-
dently taken from population B, which has 15% of its population living in poverty: Tg - .15.
a. What are the mean and standard deviation of the difference in the sample propor-
tions, A - N?
b. Describe the shape of the sampling distribution of the difference in the sample
proportions, , - ?
C. Is it appropriate to use the normal approximation to the sampling distribution of
the difference in the sample proportions, A - îg?
10.17 Refer to Exercise 10.16. Assuming that equal sample sizes will be taken from the two popu-
lations, how large a sample should be taken from each of the populations to obtain a 99% confi-
dence interval for TA - Tg with a width of at most 02? (Hint: Use A - 3 and g - .15 from
Exercise 10.16.

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