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3. Richardson and Haller (2002) describe a classroom experiment where Milk Chocolate Hershey's Kisses are put into a cup and then poured onto a table.
3. Richardson and Haller (2002) describe a classroom experiment where Milk Chocolate Hershey's Kisses are put into a cup and then poured onto a table. The purpose is to estimate the proportion of Kisses 4 that land on their base. An example in the paper gives 39 out of 100 Kisses landing on their base (10 cups filled with 10 Kisses were used). Using this information, answer the following: a) Presuming the assumptions needed in order to use one binomial distribution with the 100 Kisses are satisfied, compute a confidence interval to estimate the probability that a Kiss will land on its base. Interpret the interval. b) The experiment was repeated with the Milk Chocolate Kisses and also separately for Milk Chocolate with Almonds Kisses. In this experiment, 43 out of 100 Milk Chocolate Kisses landed on their base and 33 out of 100 Milk Chocolate with Almonds Kisses landed on their base. Compute or estimate the confidence interval for the difference of the two probabilities with these data. Is there sufficient evidence that a difference exists? c) Test the hypothesis that the two proportions in b) do not differ. State your conclusions
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