An important measure in the study of contagious infectious diseases is the number of cases directly generated by one previous case. Ashley is an epidemiologiststudying 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 greaterthan 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 previouscase 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 isapproximately 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 H, the meannumber 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: p = 2.6Η: μ2.6ロロロ=ロロロStudent's t DistributionStep 1: Enter the number of degreesof freedom.0.4+Step 2: Select one-tailed or two-tailed.O One-tailed0.3O Two-tailedStep 3: Enter the test statistic.(Round to 3 decimal places.)1.9280.2-Step 4: Shade the area represented bythe p-value.0.1Step 5: Enter the p-value.(Round to 3 decimal places.)0.035 (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by Ashley.O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there isenough evidence to support the claim that the mean number of cases directly generated by one previous case isgreater than 2.6.Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there isnot enough evidence to support the claim that the mean number of cases directly generated by one previous case isgreater than 2.6.Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enoughevidence to support the claim that the mean number of cases directly generated by one previous case is greater than2.6.O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enoughevidence to support the claim that the mean number of cases directly generated by one previous case is greater than2.6.

Question

An important measure in the study of contagious infectious diseases is the number of cases directly generated by one previous case. Ashley is an epidemiologiststudying 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 greaterthan 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 previouscase 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 isapproximately 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 H, the meannumber 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: p = 2.6Η: μ>2.6ロ<ロロSロロ>ロロ=ロロロStudent's t DistributionStep 1: Enter the number of degreesof freedom.0.4+Step 2: Select one-tailed or two-tailed.O One-tailed0.3O Two-tailedStep 3: Enter the test statistic.(Round to 3 decimal places.)1.9280.2-Step 4: Shade the area represented bythe p-value.0.1Step 5: Enter the p-value.(Round to 3 decimal places.)0.035 (c) Based on your answer to part (b), choose what can be concluded, at the 0.05 level of significance, about the claim made by Ashley.O Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. So, there isenough evidence to support the claim that the mean number of cases directly generated by one previous case isgreater than 2.6.Since the p-value is less than (or equal to) the level of significance, the null hypothesis is not rejected. So, there isnot enough evidence to support the claim that the mean number of cases directly generated by one previous case isgreater than 2.6.Since the p-value is greater than the level of significance, the null hypothesis is rejected. So, there is enoughevidence to support the claim that the mean number of cases directly generated by one previous case is greater than2.6.O Since the p-value is greater than the level of significance, the null hypothesis is not rejected. So, there is not enoughevidence to support the claim that the mean number of cases directly generated by one previous case is greater than2.6.

Accepted Answer

Answered: Image /qna-images/answer/f11afdc4-8fe3-445f-97f2-c6b66b4cd6be.jpg