Question: The article Facebook Etiquette at Work ( USA Today, March 24, 2010) reported that 56% of people participating in a survey of social network

The article “ Facebook Etiquette at Work” ( USA Today, March 24, 2010) reported that 56% of people participating in a survey of social network users said it was not OK for someone to “ friend” his or her boss. Let p denote the pro-portion of all social network users who feel this way and suppose that p = 0.56.
a. Would ˆ p based on a random sample of 50 social network users have a sampling distribution that is approximately normal?
b. What are the mean and standard deviation of the sampling distribution of ˆ p if the sample size is 100?

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