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)  _____________

 

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