Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Chapter 15.1, Problem 7E
Do people feel hungrier after sampling a healthy food? The authors of the paper “When Healthy Food Makes You Hungry” (Journal of Consumer Research [2010]: S34–S44) carried out a study to answer this question. They randomly assigned volunteers into one of three groups. The people in the first group were asked to taste a snack that was described as a new health bar containing high levels of protein, vitamins, and fiber. The people in the second group were asked to taste the same snack, but were told it was a tasty chocolate bar with a raspberry center. After tasting the snack, participants were asked to rate their hunger level on a scale from 1 (not at all hungry) to 7 (very hungry). The people in the third group were asked to rate their hunger but were not given a snack.
The data in the accompanying table are consistent with summary quantities given in the paper (although the sample sizes in the actual study were larger).
- a. Do these data provide evidence that the mean hunger rating is not the same for all three treatments (“healthy” snack, “tasty” snack, no snack)? Test the relevant hypotheses using a significance level of 0.05.
- b. Is it reasonable to conclude that the mean hunger rating is greater for people who do not get a snack? Explain.
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Based on information from a previous study, r1 = 38 people out of a random sample of n1 = 104 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n2 = 104 adult Americans who did attend college, r2 = 48 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend college? Use ? = 0.01.
(a) What is the level of significance?State the null and alternate hypotheses.
H0: p1 = p2; H1: p1 > p2H0: p1 = p2; H1: p1 < p2 H0: p1 = p2; H1: p1 ≠ p2H0: p1 < p2; H1: p1 = p2
(b) What sampling distribution will you use? What assumptions are you making?
The Student's t. The number of trials is sufficiently large.The standard normal. The number of trials is sufficiently large. The Student's t. We assume the population distributions are approximately normal.The standard normal. We assume the…
Based on information from a previous study, r1 = 38 people out of a random sample of n1 = 106 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n2 = 106 adult Americans who did attend college, r2 = 52 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend college? Use α = 0.01.
(a) What is the level of significance?
What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
Based on information from a previous study, r1 = 37 people out of a random sample of n1 = 97 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n2 = 97 adult Americans who did attend college, r2 = 46 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend college? Use α = 0.01.
What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
Chapter 15 Solutions
Introduction To Statistics And Data Analysis
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