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
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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