Chapter 8.3, Problem 11P

Myers-Briggs: Actors Isabel Myers was a pioneer in the study of personality types. The following information is taken from 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) Check Requirements Do you think the conditions np > 5 and nq>5 are satisfied in this problem? Explain why this would be an important consideration.