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8. The Gallup poll asks respondents how they would rate the honesty and ethical stan- dards of people in different fields-very high, high, average, low,

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8. The Gallup poll asks respondents how they would rate the honesty and ethical stan- dards of people in different fields-very high, high, average, low, or very low. The percentage who rated real estate agents "very high or high" dropped from 55% in 2006 to 44% in 2010. This may have been due to the real estate stock market crash, or it may have been a chance variation. (You may assume that in each year, the results are based on independent simple random samples of 1,000 persons in each year. a. Should you make a one-sample z-test or a two-sample z-test? Why? b. Formulate the null and alternative hypotheses in terms of a box model. Do you need one box or two? Why? How many tickets go into each box? How many draws? What do the tickets show? What do the null and alternative hypotheses say about the box( es)? c. Can the difference between 55% and 44% be explained as a chance variation? Or was it the crash? Or something else

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