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9. [-I1 Points] DETAILS MENDSTAT15 14.3.013. MY NOTES | ASK YOUR TEACHER Use the data in the contingency table to answer the question. Columns Rows 1 2 3 Total 1 37 34 94 165 2 65 58 112 235 Total 102 92 206 400 You wish to test the null hypothesis of "independence"that the probability that a response falls in any one row is independent of the column it falls inand you plan to use a chi-square test. You are given that there are 2 degrees of freedom associated with the test statistic X2. You are also given the value of the test statistic X2 = 3.37. Find the rejection region for a = 0.05. (Round your answer to two decimal places.) X2> You may need to use the appropriate appendix table or technology to answer this question. Need Help? T A study to investigate whether a student's spending patterns depended on their gender focused on 196 employed high school seniors. Students were asked to classify the amount of their earnings spent on their car during a given month. None or About All or Only a Little 5\"\" Half "\"t Almost All Male 70 13 6 4 3 Female 60 14 1 1 9 6 A portion of the MINITAB printout is given here. Chi-Square Test Chi-Square DF P-Value Pearson 5.120 4 0.275 Likelihood Ratio 5.211 4 0.266 2 cell (s) with expected counts less than 5. (a) Is there a signicant difference in the spending patterns of high school seniors depending on their gender? Test using a = 0.05. (Use the exact values found in the MINITAB output.) State the null and alternative hypotheses. O HO: Spending patterns are independent of gender. Ha: Spending patterns are linearly related to gender. 0 H0: Spending patterns are independent of gender. Ha: Spending patterns are dependent of gender. 0 H0: Men and women have the same amount of earnings to spend. Ha: Men and women have different amounts of earnings to spend. O Ho: Spending patterns are dependent of gender. Ha: Spending patterns are independent of gender. 0 Ho: Spending patterns are linearly related to gender. Ha: Spending patterns are independent of gender. Ha: Spending patterns are linearly related to gender. O Ho: Spending patterns are independent of gender. Ha: Spending patterns are dependent of gender. O Ho: Men and women have the same amount of earnings to spend. Ha: Men and women have different amounts of earnings to spend. O Ho: Spending patterns are dependent of gender. Ha: Spending patterns are independent of gender. O Ho: Spending patterns are linearly related to gender. Ha: Spending patterns are independent of gender. State the test statistic. X2 = State the p-value. p-value = State the conclusion. O Ho is rejected. There is sufficient evidence to indicate a difference in spending patterns between males and females. O Ho is not rejected. There is insufficient evidence to indicate a difference in spending between males and females. O Ho is rejected. There is insufficient evidence to indicate a difference in spending patterns between males and females. O Ho is not rejected. There is sufficient evidence to indicate a difference in spending patterns between males and females. (b) If significant differences exist, describe the nature of these differences. Males tend to spend none or only a little of their earnings on their car, while females tend to spend all or almost all of their earnings on their car. Males tend to spend none or only a little of their earnings on their car, while females tend to spend about half of their earnings on their car. Males tend to spend none or only a little of their earnings on their car, while females tend to spend most of their earnings on their car. Males tend to spend none or only a little of their earnings on their car, while females tend to spend some of their earnings on their car. O There are no significant differences in spending patterns between males and females.11. [-/4 Points] DETAILS MENDSTAT15 14.3.025. MY NOTES ASK YOUR TEACHER Infections sometimes occur when blood transfusions are given during surgical operations. An experiment was conducted to determine whether the injection of antibodies reduced the probability of infection, by examining the records of 141 patients. Do the data provide sufficient evidence to indicate that injections of antibodies affect the likelihood of transfusion-transmitted infections? Test by using a = 0.05. Infection No Infection Antibody 5 76 No Antibody 13 47 State the null and alternative hypotheses. O Ho: Antibody and infection classifications are dependent. Ha: Antibody and infection classifications are independent. O Ho: Antibody and infection classifications are linearly related. Ha: Antibody and infection classifications are independent. O Ho: Antibody and infection classifications are independent. Ha: Antibody and infection classifications are linearly related. O Ho: The numbers of patients with and without infections are equal. Ha: The numbers of patients with and without infections are not equal. O Ho: Antibody and infection classifications are independent. Ha: Antibody and infection classifications are dependent. Find the test statistic. (Round your answer to two decimal places.) x2 = Find the rejection region. (Round your answer to two decimal places.) x2 > State your conclusion. O Ho is not rejected. There is sufficient evidence to indicate injections of antibodies affect the likelihood of transfusion-transmitted infections.State your conclusion. O Ho is not rejected. There is sufficient evidence to indicate injections of antibodies affect the likelihood of transfusion-transmitted infections. O Ho is not rejected. There is insufficient evidence to indicate injections of antibodies affect the likelihood of transfusion-transmitted infections. O Ho is rejected. There is sufficient evidence to indicate injections of antibodies affect the likelihood of transfusion-transmitted infections. O Ho is rejected. There is insufficient evidence to indicate injections of antibodies affect the likelihood of transfusion-transmitted infections. You may need to use the appropriate appendix table or technology to answer this question. Need Help? Read It Watch It Talk to a Tutor