Statistical Fun with Hershey Kisses You will be given a Hershey Kiss. You are to roll the Hershey Kiss, as you would roll a die, at least 30 times. Count the number of times the Kiss lands on its base. The proportion of times the Hershey Kiss lands on its base is "supposed to be" roughly 35%. Base Other Base Other Base Other Base Other 1. Compute the proportion p of times the Kiss landed on its base. 2. Check your assumptions. If your requirements are NOT met, roll the dice 5-10 more times (or more) as necessary until your requirements are met. 3. Use our formula to compute a 95% confidence interval around your p, and observe whether 0.35 is included in the interval. Note: If 0.35 is in your interval, this is the same as "failing to reject H0". On the other hand, if 0.35 is NOT in your interval, this is the same as "rejecting H0". 1

4. Test the following hypothesis by finding a test statistic and then a p-value and a critical value. H0 : = 0.35 versus H1 : 6 = 0.35 (a) Your hypothesis is above. (b) Check your assumptions. (c) Calculate your test statistic, based on your p and the null hypothesis above. (d) Calculate the p-value AND the critical value. Use = 0.05 (e) What is your decision? (f) State your conclusion in terms of the problem.