Isabel Briggs Myers was a pioneer in the study of personality types. The following information is taken from MBTI Manual: A Guide to the Development and Use of the Myers-Briggs Type Indicator by Myers and McCaulley (Consulting Psychologists Press). 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 a point estimate for p.
(b) Find a 95% confidence interval for p. Give a brief interpretation of the meaning of the confidence interval you have found.
(c) Do you think the conditions np > 5 and nq > 5 are satisfied in this problem? Explain why this would be an important consideration.