A survey conducted in 2011 asked employed adults from age 25

A survey conducted in 2011 asked employed adults from age 25 to 70 if they plan to keep a foot in the working world after retirement. The percent of the respondents answering is presented in the table to the right. A random sample of adults from this age group was asked the same question below. Using the normal approximation to the binomial distribution based on the sample size indicated below, what is the probability that more than 18 adults from this sample would plan to keep a foot in the working world after retirement?

Respondent answer: Somewhat Likely

Respondent sample size was 150

No chance: 32%

Somewhat likely: 33%

Very likely: 16%

Absolutely: 19%

Solution