Question 7.83

53. A Gallup poll asked each of 1785 randomly selected adults whether he or she happened to attend a house of worship in the previous seven days. Of the respondents, 750 said “yes.”

  1. Determine the sample proportion of those who answered “yes.”
  2. Give a 95% confidence interval for the proportion of all adults who claim that they attended a house of worship during the week preceding the poll.

(The proportion who actually attended may be lower; some people might say “yes” if they often attend, even if they didn’t attend that particular week.)

53.

(a) The sample proportion who claim to have attended is .

(b) The approximate 95% confidence interval is calculated as follows:

The interval would be (0.397, 0.443).