1. A pharmaceutical company is testing their new nicotine patch. They randomly assign 100 volunteers to the patch and finding that 37 had quit smoking after 8 weeks. Compute the 96% confidence interval to estimate proportion people who quit smoking after 8 weeks with the new nicotine patch. Interpret this confidence interval. do not check CLT here.
b) The pharmaceutical company repeats their test, this time randomly assigning volunteers to use the patch and finding that 49 had quit smoking after 8 weeks. Compute the 98% confidence interval to estimate the proportion of people who quit smoking after 8 weeks with the new nicotine patch. Does this support the company's claim that over half of people on the patch quit smoking after 8 weeks? You do NOT need to check CLT here.
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