Answer:
<em>95% confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage.</em>
<em>(0.5868 , 0.6532)</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
<em>Given the survey was based on a sample of 800 companies</em>
<em>Given size 'n' = 800</em>
<em>A recent survey showed that 62% of employers are likely to require higher employee contributions for health care coverage this year relative to last year</em>
<em>sample proportion </em>
<em> p⁻ = 0.62</em>
<u><em>Step(ii):-</em></u>
The margin of error for the proportion of companies likely to require higher employee contributions for health care coverage.
M.E = 0.017 X 1.96
M.E = 0.03
<u>Step(iii):- </u>
<em>95% confidence interval for the proportion of companies likely to require higher employee contributions for health care coverage.</em>
( 0.62 - 0.0332 , 0.62+0.0332)
<em>(0.5868 , 0.6532)</em>