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In: Statistics and Probability

The Pew Research Center found that 38.6% of adult Americans believe that marriage is now obsolete....

The Pew Research Center found that 38.6% of adult Americans believe that marriage is now obsolete. Suppose a random sample of 550 American adults is asked whether marriage is obsolete. Describe the sampling distribution of " role="presentation">pˆ by using the " role="presentation">N(mean,sd) notation and reporting the mean and standard deviation of the sample proportion of American adults who believe that marriage is now obsolete. What is the probability that in a random sample of 550 American adults that less than 35% believe that marriage is obsolete? Explain your method and TI calculation. What is the probability that in a random sample of 550 American adults that between 45% and 50% believe that marriage is obsolete? Explain your method and TI calculation. Would it be unusual for a random sample of 550 American adults to result in 260 or more who believe marriage is obsolete? How would you determine this?

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Expert Solution

This problem is related to the Normal approximation to the Binomial distribution.

orchestra answered 1 year ago
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