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Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim number of cases directly generated by one previous case, is greater than 2.6. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H: 0 O

Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim number of cases directly generated by one previous case, is greater than 2.6. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H: 0 O

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
Section10.3: Measures Of Spread
Problem 1GP
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Vn • The p-value is the area under the curve to the right of the value of the test statistic. Student's t Distribution Step 1: Enter the number of degrees of freedom. Step 2: Select one-tailed or two-tailed. 03 O One-tailed O Two-tailed Step 3: Enter the test statistic. (Round to 3 decimal places.) 0.2 Step 4: Shade the area represented by the p-value. 0.1H Step 5: Enter the p-value. (Round to 3 decimal places.) -3 -2
Transcribed Image Text:Vn • The p-value is the area under the curve to the right of the value of the test statistic. Student's t Distribution Step 1: Enter the number of degrees of freedom. Step 2: Select one-tailed or two-tailed. 03 O One-tailed O Two-tailed Step 3: Enter the test statistic. (Round to 3 decimal places.) 0.2 Step 4: Shade the area represented by the p-value. 0.1H Step 5: Enter the p-value. (Round to 3 decimal places.) -3 -2
An important measure in the study of contagious infectious diseases is the number of cases directly generated by one previous case. Ashley is an epidemiologist studying the spread of an infectious disease in her country. She claimed that the mean number of cases directly generated by one previous case is now greater than 2.6. A study of 18 randomly selected cases of the disease is conducted and finds the sample mean number of cases directly generated by one previous case to be 3.1 with a sample standard deviation of 1.1. Assume that the population of the number of cases directly generated by one previous case is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that µ, the mean number of cases directly generated by one previous case, is greater than 2.6. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H: 0 OSO O<O D=0 ローロ (b) Perform at test and find the p-value. Here is some information to help you with your t test. • The value of the test statistic is given by t= totictic
Transcribed Image Text:An important measure in the study of contagious infectious diseases is the number of cases directly generated by one previous case. Ashley is an epidemiologist studying the spread of an infectious disease in her country. She claimed that the mean number of cases directly generated by one previous case is now greater than 2.6. A study of 18 randomly selected cases of the disease is conducted and finds the sample mean number of cases directly generated by one previous case to be 3.1 with a sample standard deviation of 1.1. Assume that the population of the number of cases directly generated by one previous case is approximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level of significance, to support the claim that µ, the mean number of cases directly generated by one previous case, is greater than 2.6. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. H: 0 OSO O<O D=0 ローロ (b) Perform at test and find the p-value. Here is some information to help you with your t test. • The value of the test statistic is given by t= totictic
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