In a survey 600 mothers and fathers were asked about the

Reference no: EM13624919

In a survey, 600 mothers and fathers were asked about the importance of sports for boys and girls. Of the parents interviewed, 70% said the genders are equal and should have equal opportunities to participate in sports.

A. What are the mean, standard deviation, and shape of the distribution of the sample proportion p-hat of parents who say the genders are equal and should have equal opportunities?

B. Using the normal approximation without the continuity correction, sketch the probability distribution curve for the distribution of p-hat. Shade equal areas on both sides of the mean to show an area that represents a probability of .95, and label the upper and lower bounds of the shaded area as values of p-hat (not z-scores). Show your calculations for the upper and lower bounds.

C. Considering the sketch in part B, the shaded area shows a .95 probability of what happening? In other words, what does the probability of .95 represent?

Reference no: EM13624919

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