rsurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. I _ When designing a study to determitu this population proportion. what is the minimum number you would need to survey to be 95% confident that the population proportion is estimated to within 0.037 2 If it were later determined that was important to be more than 95% confident and a survey was commissioned. how would that affo:t the minimum number you would need to surwyD Vv'tw? Question 2 According to a recent sunny/ of 1.200 61% feel that the president is doing an acceptable job. We are interested in population proportion of people feel the president doing an acceptable job. I _ Define the rat-dom variables X in words. 2 Define the random variables P' in words. 3. Which ffstribution should you use for this problem? Explain pur choice. 4. Construct a 90% confidence interval for the population proportion of pcople who f021 the president is doing an acceptable job. Question 3 A telephone poll of 1.000 adult Americans was reported in an issue of Time Magazine. Che of questions asked was "What is the main problem facing the country?" Twenty percent answered crime: We are interested in the population proportion of adult Americans who fc"21 that crime is the mail problem. I _ Define the variables X in words. 2 Define the variables P' in words. 3. Which ffstribution should you use for this problem? 4. Construct a 95% confidence interval for the population proportion of adult Americans who feel that crime is the main problem. 5. Suppose we want to lower the sampling error. What is one way to accomplish that? Question 4 According toa Field Poll. 79% of California adults (actual results are 400 out of 508 feel that "education and our schools" is ore of the top issues facing California_WQwish to construct a 90% confiderce for the true proportion of California adults who f021 that education and the schcols is one of the top issues facing California. I. A point estimate for the true population proportion is: 2 The error Eound approximately