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6 A job training program claimed that 70% (0.70) of their clients obtained full time work, 20% (0.20) obtained part time work, and 10% (0.10

6

A job training program claimed that 70% (0.70) of their clients obtained full time work, 20% (0.20) obtained part time work, and 10% (0.10 remained unemployed. A sample of 500 clients showed that 340 obtained full time work, 110 obtained part time work, and 50 remained unemployed. Perform a hypothesis test at 95% confidence to test whether the program's claim could be true. To get full credit show your null and alternate hypothesis, show how you calculated your test statistic, show your p-value, state whether you reject Ho, and state your conclusion: could the program's claim be true? YES or NO

7

A safety engineer is investigating a possible link between age, alcohol drinking, and serious pedestrian accidents. All the people in the sample had been involved in serious pedestrian accidents. The subjects are sorted by age and blood alcohol level. Sample data is as follows: (You are expected to calculate the totals for all rows and column.)

Blood Alcohol Level
Zero Moderate High Total
Young 350 90 410
Older 400 100 100
Total

Perform a hypothesis test at 95% confidence level to determine whether age is independent of blood alcohol level. To get full credit state your null and alternate hypothesis, show your test statistic and p-value, state whether you reject Ho, and state your conclusion: is age independent of alcohol level? YES or NO

8

The students at a college are having a vote for a new mascot for their school. The candidate mascots are robot, jaguar, and koala. A social science student believes that 20% (0.20) of the students favor the robot, 45% (0.45) favor the jaguar, and 35% (0.35) favor the koala. A random sample of 150 students showed 44 favored the robot, 50 favor the jaguar, and 56 favor the koala. Perform a hypothesis test at 95% confidence to determine whether the student's belief could be true. To get full credit, state your null and alternate hypothesis, show your test statistic and p-value, say whether you reject the null hypothesis, and state your conclusion could the student's belief be true? YES or NO

9

A transportation researcher wants to determine if male or female commuters use different forms of transportation. Sample data is as follows:

Single Driver Carpool Bus or Train Bicycle Total
Men 200 50 25 50 325
Women 150 175 25 25 375
Total 350 225 50 75 700

Perform a hypothesis test at 95% confidence, to determine whether transportation choice is independent of gender. To get full credit state your null and alternate hypothesis, state your test statistic, show your p-value, and state your conclusion: are transportation choices independent of gender? YES or NO

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