# 2 Statistic problems (intro to stats) - Master's level

These problems are due next week Feb. 11/2010:

The response should only be 1-2 pages each.

I will attach the data set that correlates to Case 1 (problem 1)

CASE 1: AUTOMOBILE CRASHES AND THE AGES OF DRIVERS

Setting premiums for insurance is a complex task. If the premium is too high, the insurance company will lose customers; if it is too low, the company will lose money. Statistics plays a critical role in almost all aspects of the insurance business. As part of a statistical analysis, an insurance company in Florida studied the relationship between the severity of car crashes and the ages of the drivers. A random sample of crashes in 2002 in the state of Florida was drawn. For each crash the age category of the driver was recorded, as well as whether the driver was injured.

The data were stored are stored in a file on the course web site (A1 [url removed, login to view], on the &amp;#8220;Case 1&amp;#8221; tab) using the following format:

Column 1: Crash number

Column 2: Age category

1. 15-20

2. 21-24

3. 25-34

4. 35-44

5. 45-54

6. 55-64

7. 65-over

Column 3: Medical status of driver

1 = Uninjured

2 = Injured

Required:

Estimate with 95% confidence the proportion of all Florida drivers in crashes in 2002 that were uninjured (Hint: Formulae is on Slide 17 of &amp;#8216;one population mean and [url removed, login to view]).

CASE 2: MIAMI HERALD SURVEY

Political surveys play such an important role in election campaigns that it's hard to imagine an election devoid of extensive polling. Besides selecting people to fill various political offices, voters also decide issues such as gun control and tax limitation. The November 4, 1986 ballot in the state of Florida contained questions about proposed casinos and lotteries, as well as choices for senator and governor. A survey of 959 registered voters, reported by the Miami Herald (30 October 1986), produced the following results:

Casinos

Q: If the election were held today, would you vote for or against the amendment to allow casino gambling in counties that want it?

For 35%

Against 60%

Don't Know 5%

U.S. Senate Race

Q: Suppose the election for U.S. Senate were held today. Would you vote for Paula Hawkins, the Republican, or Bob Graham, the Democrat?

Graham 47%

Hawkins 41%

Undecided 7%

Refused 5%

Governor's Race

Q: Suppose the election for governor were held today. Would you vote for Bob Martinez, the Republican, or Steve Pajcic, the Democrat?

Martinez 43%

Pajcic 40%

Undecided 14%

Refused 3%

Lottery

Q: If the election were held today, would you vote for or against a state-run lottery to help public education?

For 58%

Against 34%

Don't Know 8%

Required:

1. For each issue compute the 95% confidence interval estimate of the true population.

2. Predict the results of the election.

3. What conclusions can you draw from these data?

Om arbejdsgiveren:
( 6 bedømmelser ) Mississauga, Canada

Projekt ID: #603302

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