A simple random sample of 400 individuals provides 100 Yes responses. The 90% co

Question

A simple random sample of 400 individuals provides 100 Yes responses. The 90% confidence interval for the population proportion is: a. 0.1937 to 0.3063 b. 0.1942 to 0.3058 c. 0.2076 to 0.2924 d. 0.2144 to 0.2856
A simple random sample of 400 individuals provides 100 Yes responses. The 90% confidence interval for the population proportion is: a. 0.1937 to 0.3063 b. 0.1942 to 0.3058 c. 0.2076 to 0.2924 d. 0.2144 to 0.2856
A simple random sample of 400 individuals provides 100 Yes responses. The 90% confidence interval for the population proportion is: a. 0.1937 to 0.3063 b. 0.1942 to 0.3058 c. 0.2076 to 0.2924 d. 0.2144 to 0.2856

Explanation / Answer

The z score is 1.645 for 90% CI. Probability P^ is 100/400 = 0.25

Find the required probability as

= P^ + z (P^(1-P^)/n)^0.5

= 0.25 +/- 1.645(0.25*0.75/400)^0.5

= 0.25 + 1.645*0.0216 and = 0.25 - 1.645*0.0216

= 0.2145 to 0.2856

Correct choice is D.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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