In the first week of November, 2005, the Gallup Organization surveyed 1000 American adults and found...

In the first week of November, 2005, the Gallup Organization surveyed 1000 American adults and found that 220 of them had smoked at least one cigarette in the past week. In 1990 Gallup also asked 1000 American adults the same question in the first week of November and determined that 270 had smoked at least one cigarette in the previous week. Is there significant evidence the proportion of American adults who smoked at least one cigarette in the previous week was less in November, 2005 than in November, 1990?

What are the null and alternative hypotheses? State these using symbols, not words (carefully define your symbols).

Calculate the test statistic.

What is the P-value for this test?

What do you conclude at the 0.05 level of significance?

Construct a 95% confidence interval for the difference between the two population proportions of 2005 and 1990.

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