A high school science teacher decided to give a series of lectures on current events. To determine if the lectures had any effect on awareness of current events, an exam was given to the class before the lectures, and a similar exam was given after the lectures. The scores follow. Use a 0.05 level of significance to test the claim that the lectures made no difference against the claim that the lectures did make some difference (one way or the other). Student 1 2 3 4 5 6 7 8 9 After Lectures 104 114 128 77 82 55 74 81 79 Before Lectures 118 116 96 76 87 57 76 79 86 Student 10 11 12 13 14 15 16 17 18 After Lectures 45 116 134 95 95 93 89 104 114 Before Lectures 45 114 108 111 95 92 71 103 106 (a) What is the level of significance? (b) Compute the sample test statistic. (Use 2 decimal places.) (c) Find the P-value of the sample test statistic. (Use 4 decimal places.)

A high school science teacher decided to give a series of lectures on current events. To determine if the lectures had any effect on awareness of current events, an exam was given to the class before the lectures, and a similar exam was given after the lectures. The scores follow. Use a 0.05 level of significance to test the claim that the lectures made no difference against the claim that the lectures did make some difference (one way or the other). Student 1 2 3 4 5 6 7 8 9 After Lectures 104 114 128 77 82 55 74 81 79 Before Lectures 118 116 96 76 87 57 76 79 86 Student 10 11 12 13 14 15 16 17 18 After Lectures 45 116 134 95 95 93 89 104 114 Before Lectures 45 114 108 111 95 92 71 103 106 (a) What is the level of significance? (b) Compute the sample test statistic. (Use 2 decimal places.) (c) Find the P-value of the sample test statistic. (Use 4 decimal places.)

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Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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In a study of a group of women science majors who remained in their profession and a group who left their profession within a few months of graduation, the researchers collected the data shown here on a self-esteem questionnaire. Leavers Stayers1 = 3.05 2 = 2.92σ1 = 0.71 σ2 = 0.71n1 = 100 n2 = 227At α = 0.05, can it be concluded that there is a difference in the self-esteem scores of the two groups? Use the P-value method.
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…
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In a study of a group of women science majors who remained in their profession and a group who left their profession within a few months of graduation, the researchers collected the data shown here on a self-esteem questionnaire. Leavers Stayers 1 = 3.09 2 = 2.92 σ1 = 0.78 σ2 = 0.78 n1 = 107 n2 = 222 At α = 0.01, can it be concluded that there is a difference in the self-esteem scores of the two groups? Use the P-value method.
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.)
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. (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.)
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