Question

Use the following information to answer the next three exercises: According to a Field Poll, 79% of California adults (actual results are 400 out of 506 surveyed) feel that “education and our schools” is one of the top issues facing California. We wish to construct a 90% confidence interval for the true proportion of California adults who feel that education and the schools are one of the top issues facing California.

The error bound is approximately _____.

a. 1.581

b. 0.791

c. 0.059

d. 0.030

Short answer

The error bound is approximately (d)$0.030$

Step-by-step solution

introduction

The edge or error relies upon the certainty level, example size, and the assessed (from the example) extent of achievements.

explanation

we have $n=506$and $x=400$

role="math" localid="1650879118150" $P\text{'}=0.79$

At $\alpha =0.01$,$Z_c=1.645$

The error bound is,

role="math" localid="1650879131724" $Z_c\sqrt{\frac{\stackrel{}{P\text{'}}(1-\stackrel{}{P\text{'}})}{n}}$

$=1.645\sqrt{\frac{0.79\times 0.21}{506}}$

$=0.030$