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A poll asked people in the U.S. whether they were satisfied with their financial situation. Out...

A poll asked people in the U.S. whether they were satisfied with their financial situation. Out of 2038 people, 478 reported that they were satisfied. Two years later, the second poll was taken asking the same question. The second poll found 537 out of 1976 people were satisfied.

(a) Construct a 95% confidence interval for the change in proportion of people satisfied in their financial situation over the two years.

(b) A sociologist claims the proportion increased by more than 0.05 over the two years. Does your confidence interval support this claim?

Math   Statistics-And-Probability   
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Answer #1

To calculate the 95% confidence interval we use the critical value of z.

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