PLEASE READ CAREFULLY AND ROUND ANSWERS TO THE EXACT DECIMAL PLACES DUE OCT 30 1

Question

PLEASE READ CAREFULLY AND ROUND ANSWERS TO THE EXACT DECIMAL PLACES DUE OCT 30 1. Consider random samples of size 280 drawn from population A with proportion 0.19 and random samples of size 278 drawn from population B with proportion 0.34 (a) Find the standard error of the distribution of differences in sample proportions A- B Round your answer for the standard error to three decimal places. Standard error- (b) Are the sample sizes large enough for the Central Limit Theorem to apply? Yes or No? 2. Consider random samples of size 86 drawn from population A with proportion 0.43 and random samples of size 60 drawn from population B with proportion 0.15 (a) Find the standard error of the distribution of differences in sample proportions A-B Round vour answer for the standard error to three decimal places. Standard error= (b) Are the sample sizes large enough for the Central Limit Theorem to apply? Yes or No?

Explanation / Answer

1) (a) standard error for sample A = (((0.19)(0.81))/280))0.5 = 0.02344

Standard error for sample B = (((0.34)(0.66))/278))0.5 = 0.02841

Standard error of A-B = (0.023442 + 0.028412)0.5 = 0.037

(b) Yes sample size is large enough for CLT to apply as for CLT n>=30

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.