Question

Margin of error: 0.025; confidence level: 94%; from a prior study, p is estimated to be 0.38. Find the minimum sample size you should use to assure that your estimate of P will be within the required margin of error around the population proportion p.

A. 1414

B. 1332

C. 1413

D. 1333

Answer 1

Solution :

Given that,

= 0.38

1 - = 1 - 0.38 = 0.62

margin of error = E = 0.025

At 94% confidence level the z is ,

= 1 - 94% = 1 - 0.94 = 0.06

/ 2 = 0.06 / 2 = 0.03

Z/2 = Z0.03= 1.881

sample size = n = (Z / 2 / E )2 * * (1 - )

= (1.881 / 0.025)2 * 0.38*0.62

= 1333

sample size = 1333 Option D is correct