Statistics Problems - 10

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7. Award: 0.20 points    

Vehicles heading west on Front Street may turn right, turn left, or go straight ahead at Elm Street. The city traffic engineer believes that half of the vehicles will continue straight through the intersection. Of the remaining half, equal proportions will turn right and left. Two hundred vehicles were observed, with the following results. Can we conclude that the traffic engineer is correct? Use the 0.10 significance level.

Straight Right Turn Left Turn Frequency 112 48 40

Make the decision rule. (Round your answer to 3 decimal places.)

H0 is rejected if chi-square >

Evaluate the test statistic. (Round your answer to 2 decimal places.)

Test statistic

What is the decision regarding the null hypothesis?

H0 is . This data contradict the traffic engineer.

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References

Worksheet Difficulty: 2 Intermediate

Learning Objective: 15-03 Test a hypothesis comparing an observed set of frequencies to an expected frequency distribution.