(Answered) Problem building a sampling distribution use my statcrunch

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Problem: Building a Sampling Distribution

Use my StatCrunch data set to build the sampling distribution of the sample proportion of college student's approval rating as we did in class (the data set is titled Opinions of 35,000 College Students Concerning the President and is posted in our StatCrunch group). This time, take 10,000 samples of size 50 and choose to display the sample proportion from each of the 10,000 samples. Give your computer a chance to collect the data; this may take up to 3 minutes. Be patient.

a) Graph the results in a histogram and discuss the shape, center, and spread.

b) Check the conditions of the central limit theorem and use the theorem to define the sampling distribution's shape, mean, and standard deviation and compare it to your histogram.

c) Lastly, for the defined sampling distribution, provide the probability that in a random sample of size 50, more than the majority supports the president.

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