Exam 15: Chi-Squared Tests

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If we want to conduct a one-tail test of a population proportion, we can employ:

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Seat Belts A study was conducted to determine whether the use of seat belts in vehicles depends on whether or not a child was present in the car.A sample of 1,000 people treated for injuries sustained from vehicle accidents was obtained, and each person was classified according to (1) child present (yes/no) and (2) seat belt usage (worn or not worn) during the accident.The data are shown in the table below. Seat Belts A study was conducted to determine whether the use of seat belts in vehicles depends on whether or not a child was present in the car.A sample of 1,000 people treated for injuries sustained from vehicle accidents was obtained, and each person was classified according to (1) child present (yes/no) and (2) seat belt usage (worn or not worn) during the accident.The data are shown in the table below.    -{Seat Belts Narrative} At 5% level of significance, what is the critical value of the test statistic? -{Seat Belts Narrative} At 5% level of significance, what is the critical value of the test statistic?

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The number of degrees of freedom associated with the chi-squared test for normality is the number of intervals used minus the number of parameters estimated from the data.

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Which of the following statements regarding the chi-squared distribution is true?

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To describe a population with more than two categories you can only use a chi-squared goodness-of-fit test.

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To analyze the relationship between two nominal variables, which test(s) can you use?

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A chi-squared test of a contingency table can be used to determine whether two nominal variables are ____________________.

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Seat Belts A study was conducted to determine whether the use of seat belts in vehicles depends on whether or not a child was present in the car.A sample of 1,000 people treated for injuries sustained from vehicle accidents was obtained, and each person was classified according to (1) child present (yes/no) and (2) seat belt usage (worn or not worn) during the accident.The data are shown in the table below. Seat Belts A study was conducted to determine whether the use of seat belts in vehicles depends on whether or not a child was present in the car.A sample of 1,000 people treated for injuries sustained from vehicle accidents was obtained, and each person was classified according to (1) child present (yes/no) and (2) seat belt usage (worn or not worn) during the accident.The data are shown in the table below.    -{Seat Belts Narrative} At 5% level of significance, what is the proper conclusion? -{Seat Belts Narrative} At 5% level of significance, what is the proper conclusion?

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Suppose that a random sample of 150 observations was drawn from a population.After calculating the mean and standard deviation, each observation was standardized and the number of observations in each of the intervals below was counted.Can we infer at the 5% significance level that the data were drawn from a normal population? Suppose that a random sample of 150 observations was drawn from a population.After calculating the mean and standard deviation, each observation was standardized and the number of observations in each of the intervals below was counted.Can we infer at the 5% significance level that the data were drawn from a normal population?

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How does a multinomial distribution differ from a binomial distribution?

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Consider a multinomial experiment with 200 trials, where the outcome of each trial is classified into one of 5 categories.The number of degrees of freedom associated with the chi-squared goodness-of-fit test equals:

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To test for normality, the ____________________ hypothesis is that at least two proportions differ from their specified values.

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To determine whether data were drawn from a multinomial distribution with certain proportions, you use a:

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Conduct a test to determine whether the two classifications A and B are independent, using the data in the accompanying table and α\alpha = .05.  Conduct a test to determine whether the two classifications A and B are independent, using the data in the accompanying table and  \alpha  = .05.

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If there are only two categories, the chi-squared goodness-of-fit test is the same as the z-test for p, the population proportion (as long as the sample/cell sizes meet the conditions).

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