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In: Statistics and Probability

According to a study conducted by a statistical organization, the proportion of Americans who are satisfied...

According to a study conducted by a statistical organization, the proportion of Americans who are satisfied with the way things are going in their lives is 0.66.

Suppose that a random sample of 205 Americans is obtained,

a. About 69% of the samples will contain more than x Americans who are satisfied with their lives. Find the x.

b. What is the probability that at least 140 Americans in the sample are satisfied with their lives?

c. What is the probability that 157 or fewer Americans in the sample are satisfied with their lives?

d. If a random sample of 300 adults to results in 240 or more who are satisfied with their lives, at the 95% confidence level, what conclusion can be made?

a. The conclusion cannot be determine.

b. The sample proportion is too high!  The sample should come from a population with a higher proportion.

c. The evidence is enough to show that the sample is coming from the described population.

d. The sample proportion is too low! The sample should come from a population with a lower proportion.

e. The evidence is not enough to show that the sample is coming from other population.

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