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The confidence interval is 0.028, 0.872
<h3>Given </h3>862 of 1013 randomly selected adults wear seat belts.
The 95% confidence interval for the proportion of adults who always wear seat belts.
<h3>What is confidence interval?</h3>A Confidence Interval is defined as a range of values we are sure our true value lies within it.
<h3>What is 95% confidence interval?</h3>A 95% confidence interval is defined as that if we take 100 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value.
= 862/1013 = 0.85
At a 95% confidence interval ,the critical value is
The 95% confidence interval for proportion is
= 0.028, 0.872
The sample should use at least 10 successes and 10 failures.
As the sample size is larger, we can use an approximate formula for the standard error.
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