A researcher, concerned about the foreign ownership of the retail Trade industry in the U.S. , conducts a survey of retail firms in the country. in a sample of one hundred retail firms the researches discovers that forty-fice percent have a foreihner as the majority stockholder. Test the claim that the proportion of all retail firms with foreighnersas majority stockholder is less than fift percent at a level of significance of 10 percent.
A) Draw the power curve for this test. (hint: select these values; P=.45; P=.40; P=.35)
B) What is the probability of a Type II error if the true proportion of retail firms with foreign majority stockholders is forty percent?
C) If we require that Type II error at 40% and Type I error be the same, what sample size would be required?