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Exam 15: Chi-Squared Tests

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Question 51

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If we square the value of z (the test statistic in the test of a proportion) we produce the ____________________ statistic.

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chi-square...

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Question 52

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Suppose the value of your chi-squared test statistic in a goodness-of-fit test is equal to 0.What do you conclude?

A) Reject H₀.Conclude that at least one proportion is not equal to its specified value.
B) Fail to reject H₀.Not enough evidence to say the proportions are different from what is listed in H₀.
C) Not enough information; need the degrees of freedom for the test.
D) None of these choices.

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Question 53

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The alternative hypothesis in a goodness-of-fit test is that none of the p_i values are equal to their values specified in H₀.

In a goodness-of-fit test, the null hypothesis states that the data came from a normally distributed population.The researcher estimated the population mean and population standard deviation from a sample of 500 observations.In addition, the researcher used 6 standardized intervals to test for normality.Using a 5% level of significance, the critical value for this test is:

A small chi-squared test statistic in a goodness-of-fit test supports the null hypothesis.

There are two critical factors in identifying the technique used when the data are nominal.The first is the problem objective.The second is the number of ____________________ that nominal variable can assume.

A chi-squared distribution is symmetric.

Which of the following tests is appropriate for nominal data if the problem objective is to compare two populations and the number of categories exceeds 2?

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} Calculate the value of the test statistic.

Which of the following tests does not use the chi-squared distribution?

A chi-squared distribution has a shape that is ____________________.

For comparing two or more populations each having two or more categories, you can use which test(s)?

In a goodness-of-fit test, H₀ lists specific values for proportions and the test of a contingency table does not.

Which of the following represents H₁ in a chi-squared goodness-of-fit test to see if all 5 colors of a certain candy appear in the same proportion in the population?

The chi-squared test of a(n) ____________________ is used to determine whether there is enough evidence to say two nominal variables are related.

Consider a multinomial experiment involving 100 trials and 3 categories (cells).The observed frequencies resulting from the experiment are shown in the accompanying table. Use the 5% significance level to test the hypotheses H₀: p₁ = .45, p₂ = .30, p₃ = .25 vs.H₁: At least one proportion differs from their specified values.

A test for the differences between two proportions can be performed using the chi-squared distribution.

How do you find the probabilities needed to obtain expected frequencies for a test of a contingency table?

If we use the goodness-of-fit to test for the differences among 4 proportions, the degrees of freedom is equal to:

Suppose that a random sample of 60 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 10% significance level that the data were drawn from a normal population?