just question E and F please thank you A survey of 200 shoppers was conducted to investigate how often people buy wine at a certain supermarket.Each shopper was asked whether they had bought any wine in each of the last 4 weeks.Let x denote the number of weeks when a shopper bought wine and fdenote the number of shoppers whobought wine in x weeks. If a shopper had not bought any wine then x was set to zero. Results are given in the firsttwo rows of the following table. Note that f = 34 shoppers did not buy any wine, f = 40 shoppers bought wineonly in 1 of those 4 weeks and so on.12314Total344064566200Pi0.09150.29950.36750.20050.0410It has been suggested that these data are binomially distributed with n = 4 and some (unknown) parameterp, which is the probability that a randomly selected shopper will buy wine in any given week.Answer the following questions.a. Calculate the sample mean and the sample variance for these data.b. Estimate the parameter p for the suggested binomial distribution.c. Write down the formula to calculate the binomial probability P( X = 3) = 0.2005 (4dp), as given inthe table. Show clearly how to use the answer from part (b) to calculate the probability given here.d. Use the p;values given in the table, which were obtained as in part (C), to calculate correspondingexpected values, e;. Give your expected values to 1 decimal place.e. Do a goodness-of-fit test on these data, using a 5% level of significance.f. Comment briefly on the result of the test.

Name: just question E and F please thank you A survey of 200 shoppers was co
Uploaded: 2024-03-20T07:07:37.000Z
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Description: just question E and F please thank you A survey of 200 shoppers was conducted to investigate how often people buy wine at a certain supermarket.Each shopper was asked whether they had bought any wine in each of the last 4 weeks.Let x denote the numbe