PART A

In the study of dominant and nondominant genes, the following data were observed. A Total B 120 130 250 b 160 90 250 Total 280 220 500 LA USE SALT (a) Find the degrees of freedom for the test. (b) Calculate the y- test statistic. (Round your answer to two decimal places.) (c) Calculate the P-value of the y test. Based on a significance level of 5%, the correct conclusion is which of the following? (Use a table or technology.) O There is sufficient evidence to reject H, and conclude that dominant and nondominant genes are independent. O There is sufficient evidence to reject A, and conclude that dominant and nondominant genes are not independent. O There is insufficient evidence to reject H and conclude that dominant and nondominant genes are not independent. O There is insufficient evidence to reject H and conclude that dominant and nondominant genes are independent.The following table shows age distribution and location of a random sample of 166 buffalo in a national park. Age Lamar District Nez Perce District Firehole District Row Total Calf 11 15 15 41 Yearling 9 13 11 33 Adult 31 30 31 92 Column Total 51 58 57 166 LA USE SALT Use a chi-square test to determine if age distribution and location are independent at the 0.05 level of significance. (a) What is the level of significance? State the null and alternate hypotheses. O H: Age distribution and location are not independent. H : Age distribution and location are not independent. O H: Age distribution and location are independent. H. : Age distribution and location are not independent. O Ho: Age distribution and location are not independent. H : Age distribution and location are independent. O Ho: Age distribution and location are independent. H : Age distribution and location are independent. (b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.) Are all the expected frequencies greater than 5? O Yes O NoWhat sampling distribution will you use? O binomial O uniform O chi-square O Student's t O normal What are the degrees of freedom? (c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.) O p-value > 0.100 O 0.050 a, we fail to reject the null hypothesis. O Since the P-value > a, we reject the null hypothesis. O Since the P-value s a, we reject the null hypothesis. O Since the P-value s a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. O At the 5% level of significance, there is sufficient evidence to conclude that age distribution and location are not independent. O At the 5% level of significance, there is insufficient evidence to conclude that age distribution and location are not independent.In general, are chisquare distributions symmetric er skewed? If skewed, are they.r skewed right or left? 0 skewed right 0 symmetric D skewed right or left D skewed left