# Answer to Question #3681 in Statistics and Probability for aryana ahsan

Question #3681

A coffeehouse wishes to see whether customers have any preference among five different roasts of coffee.& A sample of 200 customers provided the data shown in the table below.& Test the claim that the customers do not have a preference for one type of roast over another.& Use level of significance.<br><br>Coffee: <br>Type of Roast& & & & & & & Number of Customers <br>(Preferring this Roast over Others)<br>“Eye Opener”& & & & & & & & & 37<br>“Dragons Breath”& & & & & 38<br>“Mediocre Medium”& & 52<br>“Decaf Ennui”& & & & & & & & & & & & 45<br>“Hazelnut Heaven”& & & & & 28<br><br>a)& & & State the null and alternative hypotheses.<br>b)& & & Find the critical value(s) and sketch the rejection region.<br>c)& & & Find the test statistic. <br>d)& & & Circle one:& & & & Reject Ho& & & or& & & Do not Reject Ho <br>e)& & & State the conclusion in terms of the described study.&

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