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Consider the following hypotheses: He: 159 HA: 159 A sample of 75 observations results in a sample mean of 146. The population standard deviation is known to be 3 a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round final answer to places.) Test statistic a-2. Find the p-value. 0.05 p-value <0.10 Opvalue 0.10 Op-value < 0.01 0.01 p-value < 0.025 0.025 p-value < 0.05

Consider the following hypotheses: He: 159 HA: 159 A sample of 75 observations results in a sample mean of 146. The population standard deviation is known to be 3 a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round final answer to places.) Test statistic a-2. Find the p-value. 0.05 p-value <0.10 Opvalue 0.10 Op-value < 0.01 0.01 p-value < 0.025 0.025 p-value < 0.05

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
Section10.4: Distributions Of Data
Problem 3GP
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Consider the following hypotheses: He: 159 MA: H « 159 A sample of 75 observations results in a sample mean of 146. The population standard deviation is known to be 3 a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round final answer to 2 decimal places.) Test statistic a-2. Find the p-value. 0.05 p-value < 0.10 p-value M 0.10 p-value < 0.01 0.01 p-value < 0.025 0.025 pvalue <0.05 5 b. Does the above sample evidence enable us to reject the null hypothesis at a=0.10? Yes since the p-value is less than the significance level. No since the p-value is greater than the significance level. No since the p-value is less than the significance level. Yes since the p-value is greater than the significance level. c. Does the above sample evidence enable us to reject the null hypothesis at a = 0.01? Yes since the p-value is less than the significance level. Yes since the p-value is greater than the significance level. No since the p-value is less than the significance level. No since the p-value is greater than the significance level. We conclude that the population mean is less than 159. We cannot conclude that the population mean is less than 159. We conclude that the population proportion differs from 159. We conclude that the population proportion equals 159. d. Interpret the results at a=0.01.
Transcribed Image Text:Consider the following hypotheses: He: 159 MA: H « 159 A sample of 75 observations results in a sample mean of 146. The population standard deviation is known to be 3 a-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round final answer to 2 decimal places.) Test statistic a-2. Find the p-value. 0.05 p-value < 0.10 p-value M 0.10 p-value < 0.01 0.01 p-value < 0.025 0.025 pvalue <0.05 5 b. Does the above sample evidence enable us to reject the null hypothesis at a=0.10? Yes since the p-value is less than the significance level. No since the p-value is greater than the significance level. No since the p-value is less than the significance level. Yes since the p-value is greater than the significance level. c. Does the above sample evidence enable us to reject the null hypothesis at a = 0.01? Yes since the p-value is less than the significance level. Yes since the p-value is greater than the significance level. No since the p-value is less than the significance level. No since the p-value is greater than the significance level. We conclude that the population mean is less than 159. We cannot conclude that the population mean is less than 159. We conclude that the population proportion differs from 159. We conclude that the population proportion equals 159. d. Interpret the results at a=0.01.
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