An important measure in the study of contagious infectious diseases is the number of cases directly generated by one previous case. Melissa 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 1.3. A study of 13 randomly selected cases of the disease is conducted and nds the sample mean number of cases directly generated by one previous case to be 1.5 with a sample standard deviation of 0.7. 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 0.10 level of significance, to support the claim that u, the mean number of cases directly generated by one previous case, is greater than 1.2. (a) State the null hypothesis H0 and the alternative hypothesis H1 that you would use for the test. H0: H i H1 : 2 = # X 53 (b) Perform a rtest and find the pvalue. Here is some information to help you with your t test. xp - "he pvalue is the area under the curve to the right of the value of the test statistic. . "he value of the test statistic is given by I: Student's t Distribution Step 1: Enter the number of degrees of freedom. o 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. :l Step 2: Select onetailed or twotailed. C} Onetailed C} Twotailed Step 3: Enter the test statistic. (Round to 3 decimal places.) :l Step 4: Shade the area represented by the pvalue. Q Step 5: Enter the p-value. (Round to 3 decimal places.) :l X 53 (c) Based on your answer to part (b), choose what can be concluded, at the 0.10 level of significance, about the claim made by Melissa. CI:- Since the p-value is less than {or equal to) the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean number of cases directly generated by one previous case is X greater than 1.2. '22:? Since the p-value is less than {or equal to) the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean number of cases directly generated by one previous case is greater than 1.2. {:21- Since the pvalue is greater than the level of significance, the null hypothesis is rejected. So, there is enough evidence to support the claim that the mean number of cases directly generated by one previous case is greater than 1.2. Ci- Since the pvalue is greater than the level of significance, the null hypothesis is not rejected. So, there is not enough evidence to support the claim that the mean number of cases directly generated by one previous case is greater than 1.2