Please help with the following assignment (will give helpful rating):
Answer each question completely and send your work back to your instructor. Show all work. Justify your answers clearly and completely with formulas and numerical solutions. Showing your work will allow your instructor to give you partial credit if you make a mistake but show that you still understand the problem. 1. In a survey, GOD mothers and fathers were asked about the importance of sports for boys and girls. 0f the parents inteNiewed, 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 .6 of parents who say the genders are equal and should have equal opportunities? Be sure to justify your answer for the shape of the distribution. Use n = 500. (1 point) B. Using the normal approximation without the continuity correction, sketch the probability distribution curve for the distribution of :3. Shade equal areas on both sides of the mean to shoiiilr an area that represents a probability of .95, and label the upper and lower bounds of the shaded area as values of phat (not ruores). Show your calculations for the upper and lower bounds. (2 points] i:. eoneldering the sketch in part a, the shaded area shows a .95 probability of what happening? to other words, what does the probability of .95 represent? (2 points] D. Using the normal approximation. what's the probability a randomly drawn sample of parents of size coo will have a sample proportion between one and irate? Draw a sketch of the probability curve, shade the area representing the probability you're finding. and label the rscores that represent the upper and lower bounds of the probability you're nding. don't use the continuity correction. {2 points:- E. ltow, use the exact blnorltlel calculation to llnd the probability or getting between, but not including, 57% and 73% of the respondents In I sample of out) who say the genders are equal and should have equal opportunities. To use the exact binomial, you'll need to convert the proportions to counts by multiplying each proportion by one. (1 point) F. Now try it again. but title time find the probability of getting at iaaet 51% but no more than 73%. Use the exact binomial calculation. (1 point] 2. A. Al CD Random samples of size n = 500 were selected from a binomial population with p = .1. Le it appropriate in this case to use the normal distribution to approximate the distribution of a? 1llil'hai: are the mean, standard deviation, and shape of the distribution? {1 point) . Using the normal approximation without the continuity correction, nd the probability that f:- .8, would you conclude the population proportion may be higher than .76? Why? (2 points)
