Question

Furniture Land surveyed 630 consumers and found that 458 were enthusiastic about a new home dècor it plans to show in its store in High Point. Construct the 95% confidence interval for the population proportion. (Round the final answers to 3 decimal places.) Confidence interval for the population proportion is and .

Answer 1

Solution :

Given that,

n = 630

x = 458

Point estimate = sample proportion = = x / n = 458 / 630 = 0.727

1 - = 0.273

Z_/2 = 1.96

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

= 1.96 * (((0.727 * 0.273) / 630)

= 0.035

A 95% confidence interval for population proportion p is ,

- E < p < + E

0.727 - 0.035 < p < 0.727 + 0.035

0.692 < p < 0.762

The 95% confidence interval for the population proportion p is : (0.692 , 0.762)