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When an amusement park was first built twenty years ago, 40% of people said their favorite nde was Tower of Terror, 30% said Rockin Roller Coaster was their favorite, 20% said Zoomerang was their favorite, and 10% said some other nde was their favorite. Hypothesized Number population percentage sample in Favorite Ride Tower of Terror 40% 30% 20% 10% 91 49 32 28 200 Rockin RC Zoom erang To determine if preferences have changed, a random sample 200 people waiting in line at the park were asked to identify their favorite ride. The results are summarized in the table on the Other ride Total right. 25 pts (a) Select the correct null hypothesis from the choices given: i. Prower Prockin Proom Pother 11. power = 0.25, Prockin = 0.25, pzoom = 0.25, pother-o.25 iii. Prower 0.40, Pockin-0.30, Proom-0.20, Podher 0.10 iv. there is no association between favorite amusement park rides and the population (b) Select the correct alternative hypothesis from the choices given: ii. at least one of the proportions differs from the hypothesized value ii. Phower 0.40, Prockin # 0.30, Pzoom 0.20, Pother0.10 iv, power#025, prockn4 0.25, pzoom$0.25, pother#025 (c) Compute the expected count for the number of people whose favorite ride is Zoomerang in the sample. (d) The computed value of the test statistic is 8.33. Find EITHER of the following: The P-value: OR The critical value of the test statistic (α 0.05) (e) At a significance level of a -0.05, should you eject Ho? Circle one): YES NO () Is there evidence to suggest that peoples favorite rides have changed since the park was built twenty years ago? Circle one): YES NO
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