Find the critical value za/2 that corresponds to a 99.5% confidence level. First

Question

Find the critical value za/2 that corresponds to a 99.5% confidence level. First determine a (1 - 995, then determine a/2 and find the area under the curve (1-a/2), use Table A-2 to determine za/2. Za/2 =__ Find za/2 for a = 0.02 First find a/2, then the area under the curve 1 - a/2. Use the area under the curve in Table A-2 to determine za/2. Za/2 = ___ Find the margin of error E that corresponds to the given statistics and confidence levels, 90% confidence x = 623, the sample size n = 1780, of which 35% are successes (p = .350). E = z_a/2 squareroot pq/n E = ___

Explanation / Answer

1) = 1 - 0.995 = 0.005

/2 = 0.0025

Z/2 = 2.81

b) = 0.02

/2 = 0.01

Z/2 = 2.33

c) p = 0.35

q = 1 - p = 0.65

n = 1780

= 1 - 0.9 = 0.1

/2 = 0.05

Z/2 = 1.645

E = Z/2 * sqrt(p * q / n) = 1.645 * sqrt(0.35 * 0.65 / 1780) = 0.0186

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

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