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Nationwide Insurance would like to perform a chi- square test to investigate whether a difference exists in the proportion of male and female teenagers who text while they drive. A random sample of 80 male teenagers found that 50 indicated they texted while driving. A random sample of 120 female teenagers found that 65 indicated they texted while driving. The degrees of freedom for the chi- square critical value is ______.
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(Multiple Choice)
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Correct Answer:
B
Nationwide Insurance would like to perform a chi- square test to investigate whether a difference exists in the proportion of male and female teenagers who text while they drive. A random sample of 80 male teenagers found that 50 indicated they texted while driving. A random sample of 120 female teenagers found that 65 indicated they texted while driving. Using α = 0.5, the conclusion for this chi- square test would be that because the test statistic is
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Correct Answer:
C
When using the chi- square hypothesis test and the observed frequencies are relatively close to the expected frequencies, which one of the following statements is true?
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Correct Answer:
A
The _____ frequencies refer to the frequencies that are most likely to occur if the null hypothesis is true when performing a hypothesis test comparing two or more population proportions.
(Multiple Choice)
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Nationwide Insurance would like to perform a chi- square test to investigate whether a difference exists in the proportion of male and female teenagers who text while they drive. A random sample of 80 male teenagers found that 50 indicated they texted while driving. A random sample of 120 female teenagers found that 65 indicated they texted while driving. The chi- square test statistic for this sample is ______.
(Multiple Choice)
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When the chi- square test statistic is greater than the chi- square critical value when comparing two or more population proportions, we fail to reject the null hypothesis.
(True/False)
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For a chi- square test of independence, the expected frequencies are permitted to be less than 5.
(True/False)
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Nationwide Insurance would like to perform a chi- square test to investigate whether a difference exists in the proportion of male and female teenagers who text while they drive. A random sample of 80 male teenagers found that 50 indicated they texted while driving. A random sample of 120 female teenagers found that 65 indicated they texted while driving. The chi- square critical value using α = 0.5 is ______ .
(Multiple Choice)
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When testing for a normal distribution with the chi- square goodness- of- fit test with a sample size of 30 observations, the number of intervals needed to satisfy the minimum number of expected frequencies is ________ .
(Multiple Choice)
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Nationwide Insurance would like to perform a chi- square test to investigate whether a difference exists in the proportion of male and female teenagers who text while they drive. A random sample of 80 male teenagers found that 50 indicated they texted while driving. A random sample of 120 female teenagers found that 65 indicated they texted while driving. The expected frequency of male teenagers who text is _______.
(Multiple Choice)
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When testing for a normal distribution with the chi- square goodness- of- fit test with a sample size of 50 observations, the number of intervals needed to satisfy the minimum number of expected frequencies is _____-_ .
(Multiple Choice)
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The chi- square test for independence is used to decide if observed frequencies follow a known probability distribution.
(True/False)
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When performing a hypothesis test to compare two or more population proportions, the expected frequencies must always be integer values.
(True/False)
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Two variables are dependent if changes in the levels of one variable do not affect the levels of the other variable.
(True/False)
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When testing for a normal distribution with the chi- square goodness- of- fit test with a sample size of 100 observations, the number of intervals needed to satisfy the minimum number of expected frequencies is _______ .
(Multiple Choice)
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The chi- square test of independence does not allow us to state that one variable causes a change in another variable when the null hypothesis is rejected.
(True/False)
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When we reject the null hypothesis for a chi- square test of independence, we are concluding that there is no relationship between the two variables.
(True/False)
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The chi- square test requires that each expected frequency be equal to or greater than _____.
(Multiple Choice)
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The chi- square goodness- of- fit test is used to determine if two categorical variables are independent of one another.
(True/False)
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