Question

Assume that a random sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. nbsp 95 % confidence; the sample size is 1453 comma of which 40 % are successes The margin of error Eequals nothing. ​(Round to four decimal places as​ needed.)

Answer 1

Solution :

Given that,

n = 1453

Point estimate = sample proportion = = 0.40

1 - = 0.60

Z_/2 = 1.96

Margin of error = E = Z _{/ 2} * (( * (1 - )) / n)

= 1.96 * (((0.60 * 0.40) / 1453)

= 0.0252

Margin of error = E = 0.0252