A study of fox rabies in a country gave the following information about different regions and the occurrence of rabies in each region. A random sample of n1 = 16 locations in region I gave the following information about the number of cases of fox rabies near that location.x1: Region I Data2999688133325146A second random sample of n2 = 15 locations in region II gave the following information about the number of cases of fox rabies near that location.x2: Region II Data115148544422569 A study of fox rabies in a country gave the following information about different regions and the occurrence of rabies in each region. A random sample of n, = 16 locations in region I gave the following information about the number of cases of fox rabies near that location.X1: Region I Data2968 81333251 46A second random sample of n, = 15 locations in region II gave the following information about the number of cases of fox rabies near that location.X,: Region II Data1 15 1 4 8 5444 2 2 5| 69n USE SALT(a) Use a calculator with sample mean and sample standard deviation keys to calculate x, and s, in region I, and x, and s, in region II. (Round your answers to four decimal places.)X2 =52(b) Does this information indicate that there is a difference (either way) in the mean number of cases of fox rabies between the two regions? Use a 5% level of significance. (Assume the distribution of rabies cases in both regions is mound-shaped and approximately normal.)(i)What is the level of significance?State the null and alternate hypotheses.O Hoi Hy = Hz; H: Mq * MzO Hoi Hq> Mg; H;: H1 = H2(ii) What sampling distribution will you use? What assumptions are you making?O The Student's t. We assume that both population distributions are approximately normal with known standard deviations.O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.O The standard normal. We assume that both population distributions are approximately normal with known standard deviations.What is the value of the sample test statistic? (Test the difference u, - lz. Do not use rounded values. Round your final answer to three decimal places.) (iii) Find (or estimate) the P-value.O P-value > 0.500O 0.250 < P-value < 0.500O 0.100 < P-value < 0.250O 0.050 < P-value < 0.100O 0.010 < P-value < 0.050O P-value < 0.010Sketch the sampling distribution and show the area corresponding to the P-value.-2(iv) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.(v) Interpret your conclusion in the context of the application.O Reject the null hypothesis, there is sufficient evidence that there is a difference in the mean number of cases of fox rabies between the two regions.O Fail to reject the null hypothesis, thereinsufficient evidence that there is a difference in the mean number of cases of fox rabies between the two regions.O Reject the null hypothesis, there is insufficient evidence that there is a difference in the mean number of cases of fox rabies between the two regions.O Fail to reject the null hypothesis, there is sufficient evidence that there is a difference in the mean number of cases of fox rabies between the two regions.

The random variable number of cases of fox rabies follows normal distribution. There are two…

Answered: A study of fox rabies in a country gave…

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P