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Significance testing is similar to hypothesis testing, except rather than comparing a p-value to a level of significance to reach a conclusion, the p-value is used as a measure for how strong the information from the sample is as evidence against the null hypothesis. A small p-value indicates that the sample provides strong evidence against the null hypothesis and is statistically significant. A larger p-value indicates that the sample provides weaker evidence against the null hypothesis and is not statistically significant. Suppose that two rival scientists want to conduct the following hypothesis test for a certain population: Ho: ≤ 60 > 60 H₁: Assume that the mean of the population is known to be 8.4. Scientist 1 took a sample of 36 from the population and got a sample mean of 63.164000. What is the approximate p-value for Scientist 1's data? Scientist 2 took a sample of 8 from the population and got a sample mean of 64.276582. What is the approximate p-value for Scientist 2's data? Which of the following statments are true? A. Scientist 2 has stronger evidence against Ho because their p-value is smaller. B. Scientist 1 has stronger evidence against Ho because their p-value is smaller. C. Scientist 2 has stronger evidence against Ho because their sample mean is farther from 60 D. Scientist 1 has stronger evidence against Ho because their sample mean is closer to 60

Significance testing is similar to hypothesis testing, except rather than comparing a p-value to a level of significance to reach a conclusion, the p-value is used as a measure for how strong the information from the sample is as evidence against the null hypothesis. A small p-value indicates that the sample provides strong evidence against the null hypothesis and is statistically significant. A larger p-value indicates that the sample provides weaker evidence against the null hypothesis and is not statistically significant. Suppose that two rival scientists want to conduct the following hypothesis test for a certain population: Ho: ≤ 60 > 60 H₁: Assume that the mean of the population is known to be 8.4. Scientist 1 took a sample of 36 from the population and got a sample mean of 63.164000. What is the approximate p-value for Scientist 1's data? Scientist 2 took a sample of 8 from the population and got a sample mean of 64.276582. What is the approximate p-value for Scientist 2's data? Which of the following statments are true? A. Scientist 2 has stronger evidence against Ho because their p-value is smaller. B. Scientist 1 has stronger evidence against Ho because their p-value is smaller. C. Scientist 2 has stronger evidence against Ho because their sample mean is farther from 60 D. Scientist 1 has stronger evidence against Ho because their sample mean is closer to 60

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Significance testing is similar to hypothesis testing, except rather than comparing a p-value to a level of significance to reach a conclusion, the p-value is used as a measure for how strong the information from the sample is as evidence against the null hypothesis. A small p-value indicates that the sample provides strong evidence against the null hypothesis and is statistically significant. A larger p-value indicates that the sample provides weaker evidence against the null hypothesis and is not statistically significant. Suppose that two rival scientists want to conduct the following hypothesis test for a certain population: Ho: ≤ 60 Hy: μ > 60 Assume that the mean of the population is known to be 8.4. Scientist 1 took a sample of 36 from the population and got a sample mean of 63.164000. What is the approximate p-value for Scientist 1's data? Scientist 2 took a sample of 8 from the population and got a sample mean of 64.276582. What is the approximate p-value for Scientist 2's data? Which of the following statments are true? OA. Scientist 2 has stronger evidence against Ho because their p-value is smaller. B. Scientist 1 has stronger evidence against Ho because their p-value is smaller. C. Scientist 2 has stronger evidence against Ho because their sample mean is farther from 60 D. Scientist 1 has stronger evidence against Ho because their sample mean is closer to 60
Transcribed Image Text:Significance testing is similar to hypothesis testing, except rather than comparing a p-value to a level of significance to reach a conclusion, the p-value is used as a measure for how strong the information from the sample is as evidence against the null hypothesis. A small p-value indicates that the sample provides strong evidence against the null hypothesis and is statistically significant. A larger p-value indicates that the sample provides weaker evidence against the null hypothesis and is not statistically significant. Suppose that two rival scientists want to conduct the following hypothesis test for a certain population: Ho: ≤ 60 Hy: μ > 60 Assume that the mean of the population is known to be 8.4. Scientist 1 took a sample of 36 from the population and got a sample mean of 63.164000. What is the approximate p-value for Scientist 1's data? Scientist 2 took a sample of 8 from the population and got a sample mean of 64.276582. What is the approximate p-value for Scientist 2's data? Which of the following statments are true? OA. Scientist 2 has stronger evidence against Ho because their p-value is smaller. B. Scientist 1 has stronger evidence against Ho because their p-value is smaller. C. Scientist 2 has stronger evidence against Ho because their sample mean is farther from 60 D. Scientist 1 has stronger evidence against Ho because their sample mean is closer to 60
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