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NEED HELP WITH THIS IMPORTANT QUESTION!!A random sample of 7792 dentists in New York showed that 2976 provided some charity care. Let p be the (unknown) true proportion of dentists in New York who provide some charity care. We want to estimate p a) What was the sample proportion, p, of dentists in the sample who provided some charity care? b) What was the sample proportion of dentists in the sample who provided no charity care? c) what is the z critical value that we would use to construct a classical 96% confidence interval for p? d) Construct a 96% classical confidence interval for p7( e) How long is the 96% confidence interval for p? f) If we are creating a 96% classical confidence interval for p based upon the sample size of 7792, then what is the longest possible length of this interval? g) Copy your R script for the above into the text box here.

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