allup poll asks respondents how they would rate the honesty and ethical standards of people in different fields—very high, high, average, low, or very low. In 2005, 65% of the respondents gave medical doctors a rating of “very high or high,” compared to a 67% rating for pharmacists. The results are based on a simple random sample of 1,000 persons taken in 2005; each respondent rated clergy, medical doctors, pharmacists, and many other professions. Would it be appropriate to use these values to carry out a two-sample z test to evaluate whether difference between doctors and pharmacists is real?

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The Gallup poll asks respondents how they would rate the honesty and ethical standards of people in different fields—very high, high, average, low, or very low. In 2005, 65% of the respondents gave medical doctors a rating of “very high or high,” compared to a 67% rating for pharmacists. The results are based on a simple random sample of 1,000 persons taken in 2005; each respondent rated clergy, medical doctors, pharmacists, and many other professions.

Would it be appropriate to use these values to carry out a two-sample z test to evaluate whether difference between doctors and pharmacists is real?

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