# MATHEMATICS

**MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.**

50) A survey of 100 fatal accidents showed that 52 were alcohol related. Construct a 98% confidence interval for the proportion of fatal accidents that were alcohol related. 50) _______

A) (0.404, 0.636) B) (0.120, 0.340)

C) (0.560, 0.580) D) (0.880, 0.900)

51) A survey of 250 households showed 62 owned at least one gun. Construct a 90% confidence interval for the proportion of households that own at least one gun. 51) _______

A) (0.203, 0.293) B) (0.103, 0.189)

C) (0.369, 0.451) D) (0.683, 0.712)

52) A survey of 2450 golfers showed that 281 of them are left-handed. Construct a 98% confidence interval for the proportion of golfers that are left-handed. 52) _______

A) (0.100, 0.130) B) (0.203, 0.293)

C) (0.369, 0.451) D) (0.683, 0.712)

**SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.**

53) In a survey of 10 golfers, 2 were found to be left-handed. Is it practical to construct the 90% confidence interval for the population proportion, p? Explain.

53) _____________

**MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.**

54) A researcher at a major hospital wishes to estimate the proportion of the adult population of the United States that has high blood pressure. How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 6%? 54) _______

A) 378 B) 10 C) 755 D) 267

55) A pollster wishes to estimate the proportion of United States voters who favor capital punishment. How large a sample is needed in order to be 90% confident that the sample proportion will not differ from the true proportion by more than 4%? 55) _______

A) 423 B) 256 C) 11 D) 846

56) A private opinion poll is conducted for a politician to determine what proportion of the population favors decriminalizing marijuana possession. How large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 3%? 56) _______

A) 1068 B) 752 C) 2135 D) 17

57) A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. How large a sample is needed in order to be 99% confident that the sample proportion will not differ from the true proportion by more than 6%? A previous study indicates that the proportion of left-handed golfers is 10%. 57) _______

A) 166 B) 136 C) 185 D) 38

58) A researcher wishes to estimate the number of households with two cars. How large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 5%? A previous study indicates that the proportion of households with two cars is 24%. 58) _______

A) 281 B) 198 C) 369 D) 4

**SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.**

59) A state highway patrol official wishes to estimate the number of drivers that exceed the speed limit traveling a certain road.

a) How large a sample is needed in order to be 90% confident that the sample proportion will not differ from the true proportion by more than 2%?

b) Repeat part (a) assuming previous studies found that 85% of drivers on this road exceeded the speed limit. 59) _____________