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In: Statistics and Probability

Isabel Myers was a pioneer in the study of personality types. In a random sample of...

Isabel Myers was a pioneer in the study of personality types. In a random sample of 62
professional actors, it was found that 39 were extroverts.
(a) Let p represent the proportion of all actors who are extroverts, Find the point estimate for p.
(b) Find a 95% confidence interval for the p. Give a brief interpretation of the meaning of the
confidence interval you have found.
(c) Do you think the conditions np greater than 5 and nq greater than 5 are satisfied in this problem? Explain why this
would be an important consideration.

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