Myers-Briggs: Actors Isabel Myers was a pineer in the study of personality types
ID: 3158475 • Letter: M
Question
Myers-Briggs: Actors
Isabel Myers was a pineer 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 d39 were extroverts.
a) Let p respresent the poportion of all actors who are extroverts. Find a point extimate for p.
b) Find a 95% confidence interval for p. Give a brief interpretation of the meaning of the confidence interval for p. Give a brief interpretation of the meaning of the confidence interval you found.
c) Check Requirements: Do you think the conditions np > 5 and nq > 5 are staisfied in this problem? Explain why this would be an important consideration.
Please show your work and thank you for expaling the steps to me, it's appeciated.
Explanation / Answer
a) Point estimate of p, phat=39/62=0.63
b) The 95% c.i=phat+-Zsqrt[phat(1-phat)/N]
=39/62+-1.96sqrt[39/62(1-39/62)/62]
=0.51 to 0.75
With 95% confidence, the true population proportion of extroverts in professional actors is between 0.51 to 0.75.
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