3 a Have older cell-phone users caught on to texting? Simple random samples of people under 30 and over 30 were asked whether they made more phone calls or sent more text messages on their cell phone on a typical day. Here are the results: More texts More phone calls Age group Under 30 146 34 Over 30 32 98 Give the name of the appropriate chi-square procedure and state the null and alternative hypotheses for the test that will address this question. Do not perform the test! b A person studying fathers' involvement in their children's education interviews a simple random sample of fathers of school-age children. One question concerns regularly scheduled parent-teacher conferences. Here is a two-way table of the results: Attended Attended Attended all some none Total Fathers in two-parent families Fathers in single-parent families 109 132 203 444 15 10 13 38 Non-resident fathers 11 5 82 98 Total 135 147 298 580 Give the name of the appropriate chi-square procedure and state the null and alternative hypotheses for the test that will address this question. Do not perform the test! C. A bank wants to determine which age groups among its customers are using their on-line banking services. They select a simple random sample of customers from four age groups and ask each person if they do most of their banking on-line or at their local branch bank. Here are the results: Preferred banking method Branch bank On-line Total Under 30 16 37 53 Age group (years) 31-45 18 38 56 46-60 19 26 45 Over 60 22 8 30 Total 75 109 184 Give the name of the appropriate chi-square procedure and state the null and alternative hypotheses for the test that will address this question. Do not perform the test! Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. In the United States, there is a strong relationship between education and smoking: well-educated people are less likely to smoke. Does a similar relationship hold in France? To find out, researchers recorded the level of education and smoking status of a random sample of 459 French men aged 20 to 60 years. The two-way table below displays the data. Education Smoking Status Primary School Secondary School University Nonsmoker Former Moderate Heavy 56 37 53 54 43 28 41 27 36 36 32 16 Is there convincing evidence of an association between smoking status and educational level among French men aged 20 to 60 years? Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. Carrie made a ceramic 6-sided die in her ceramics class and rolled it 90 times to test if each side was equally likely to show up. Carry out a significance test at the 0.05 level of significance to see if her dice is fair. Below are the results of her 90 throws Outcome Observed 1 2 3 4 5 6 12 28 12 13 10 15 If rejected carry out a follow-up analysis of the results. Texomano