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Understanding Business Statistics

Statistics

Quiz 16 :

Chi-Square Tests

Quiz 16 :

Chi-Square Tests

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To compute a pooled sample proportion, each of the sample proportions is weighted by the size of the population from which the sample was selected.
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True False
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Answer:

False

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The degrees of freedom for in a test of independence involving a contingency table with 10 rows and 11 columns are 90.
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True False
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Answer:

True

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One hundred people were sampled from each of three populations and asked a question.The responses are shown in the table: img If the three populations represented here contain the same proportion of yes responses, we would have expected to see 23.33 yes responses in each sample.
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True False
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Answer:

True

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The degrees of freedom for a test of independence involving a contingency table with 10 rows and 8 columns are 63.
True False
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In a chi-square calculation involving 6 independent terms (that is, with df = 6), there is a 5% probability that the result will be less than 1.635.
True False
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Two hundred items were sampled from each of two recent shipments.The results are shown in the table: img If the two shipments contain the same proportion of defective items, we would have expected to see 14 defective items in each sample.
True False
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The table-based approach to testing for differences in population proportions yields more accurate results than the squared standardized normal random variable approach.
True False
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Samples of equal size have been selected from each of three populations, producing sample proportions of 0.4, 0.3, and 0.5.To compute a pooled sample proportion, we can compute the simple average of the three sample proportions.
True False
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Samples of equal size have been selected from each of three populations, producing sample proportions of 0.4, 0.3, and 0.5.To compute a pooled sample proportion, each of the sample proportions is weighted by size of the population from which the sample was selected.
True False
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The degrees of freedom for test of independence involving a contingency table with 12 rows and 12 columns are 144.
True False
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In a chi-square distribution, 2 is the sum of squared standardized normal random variables with degrees of freedom equal to the number of independent terms included in the sum.
True False
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In a chi-square test of proportion differences, we will reject the "all proportions are equal" null hypothesis if the p-value for the chi-square statistic is less than the significance level for the test.
True False
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Samples of equal size have been selected from each of three populations, producing sample proportions of 0.5, 0.7, and 0.6.The pooled sample proportion would be 0.65.
True False
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The degrees of freedom in a goodness of fit test for a multinomial distribution with 5 categories are 4.
True False
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In a chi-square calculation involving 5 independent terms (that is, with df = 5), there is a 5% probability that the result will be greater than 16.750.
True False
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The degrees of freedom in a goodness of fit test for a multinomial distribution with 5 categories are (5 − 2) = 3.
True False
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In a chi-square calculation involving 3 independent terms (that is, with df = 3), there is a 5% probability that the result will be greater than 7.815.
True False
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Below is a contingency table showing the results of a survey in which 200 voters were asked to comment on current economic conditions. img If "view of the economy" is independent of "gender," we would have expected 30% of the male responses to be "good."
True False
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Four hundred people were sampled from each of two populations and asked a question.The responses are shown in the table: img If the two populations contain the same proportion of yes responses, we would have expected to see 55 yes responses in each sample.
True False
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In a chi-square test regarding the equality of 3 population proportions, we should form the null and alternative hypotheses as follows: H0: 1 = 2 = 3 (All three proportions are equal.) Ha: 123 (All three proportions are different.)
True False
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