Exam 14: Analysis of Categorical Data

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A contingency table is to be used to test for independence.There are 3 rows and 3 columns in the table.How many degrees of freedom are associated with this test?

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One disadvantage of nonparametric tests is that,under the assumption of normality in the population,nonparametric procedures are less powerful.

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Consider the following data set: 16,16,17,18,20,21,21,22,23,24,25,27,27,27,27,and 30.The rank assigned to the four observations of value 27 is:

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A study was conducted to determine whether the use of seat belts in vehicles depends on ethnic status in Detroit.A sample of 1,000 people treated for injuries sustained from vehicle accidents was obtained,and each person was classified according to (1)ethnic status (African American or non-African American)and (2)set belt usage (worn or not worn)during the accident.The data are shown in the table below. Ethnic Status THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A study was conducted to determine whether the use of seat belts in vehicles depends on ethnic status in Detroit.A sample of 1,000 people treated for injuries sustained from vehicle accidents was obtained,and each person was classified according to (1)ethnic status (African American or non-African American)and (2)set belt usage (worn or not worn)during the accident.The data are shown in the table below. Ethnic Status    -Which test would be used to properly analyze the data in this experiment? -Which test would be used to properly analyze the data in this experiment?

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A Wilcoxon rank sum test for comparing two populations involves two independent samples of sizes 15 and 20.The un-standardized test statistic (that is the rank sum)is T = 225.The value of the standardized test statistic z is:

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The chi-square distribution approaches the normal distribution as the degrees of freedom becomes larger.

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The figures used in calculating the test statistic X2 = The figures used in calculating the test statistic X<sup>2</sup> =    are the observed and expected numbers in each of the k categories.However,it is correct,for example,to use instead the percentages of sample members in each category. are the observed and expected numbers in each of the k categories.However,it is correct,for example,to use instead the percentages of sample members in each category.

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Minitab statistical software can be used to determine confidence intervals for the median based on the sign test.

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Nonparametric procedures have fewer restrictive assumptions concerning data level and underlying probability distributions.

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A test of independence is to be performed.The table has 4 rows and 3 columns.What would the degrees of freedom be?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In a recent survey,15 viewers were asked to rank their enjoyment of two television programs.Of those respondents who had a preference,4 preferred The Big Bang Theory while 8 preferred Criminal Minds. -Is there sufficient evidence that people prefer Criminal Minds to The Big Bang Theory?

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A chi-square goodness-of-fit-test is being used to determine if the observed frequencies and expected frequencies from five categories are significantly different.If only one parameter is estimated from the data,what is the critical chi-square value associated with α = 0.05?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A group of managers was asked whether they would be willing to adopt a pay-for-performance compensation package.Of the 18 respondents,12 indicated that they were willing to adopt a pay-for-performance compensation package,while 5 indicated that they would not. -Is there evidence that a majority of mangers would be willing to adopt such a compensation scheme?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Three choices of free gifts are offered to 270 persons who subscribed to a new magazine.The number of subscribers choosing each gift is shown in the table below.Assume the null hypothesis that the gifts are equally attractive to the subscribers.Use a 0.01 significance level. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Three choices of free gifts are offered to 270 persons who subscribed to a new magazine.The number of subscribers choosing each gift is shown in the table below.Assume the null hypothesis that the gifts are equally attractive to the subscribers.Use a 0.01 significance level.    -State the decision rule. -State the decision rule.

(Short Answer)
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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A random sample of 16 male students and an independent random sample of 16 female students were asked to write essays at the conclusion of a writing course.These essays were then ranked from 1(best)to 30(worst)by a professor.The following rankings resulted. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A random sample of 16 male students and an independent random sample of 16 female students were asked to write essays at the conclusion of a writing course.These essays were then ranked from 1(best)to 30(worst)by a professor.The following rankings resulted.    -Use statistical software to verify your results to the previous question. -Use statistical software to verify your results to the previous question.

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The value of the X2 statistics can range from -∞ to + ∞.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A large city is in the process of voting on a bond issue to build a covered sports arena.A local political analyst wishes to determine if the level of income will impact on the decision of the voters.He takes a sample of 350 who plan to vote in the upcoming election. Vote on Bond Issue THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A large city is in the process of voting on a bond issue to build a covered sports arena.A local political analyst wishes to determine if the level of income will impact on the decision of the voters.He takes a sample of 350 who plan to vote in the upcoming election. Vote on Bond Issue    -What is the conclusion? -What is the conclusion?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A random sample of 12 working men was asked how many hours of housework they performed each week.Their responses were: THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A random sample of 12 working men was asked how many hours of housework they performed each week.Their responses were:     A random sample of 10 working women was asked the same question.Their responses are listed below.    -Which nonparametric method(s)is(are)appropriate for analyzing these data of two independent random samples? A random sample of 10 working women was asked the same question.Their responses are listed below. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A random sample of 12 working men was asked how many hours of housework they performed each week.Their responses were:     A random sample of 10 working women was asked the same question.Their responses are listed below.    -Which nonparametric method(s)is(are)appropriate for analyzing these data of two independent random samples? -Which nonparametric method(s)is(are)appropriate for analyzing these data of two independent random samples?

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In all the rank tests,normality is not a required assumption for the underlying populations.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A study was conducted to determine whether the use of seat belts in vehicles depends on ethnic status in Detroit.A sample of 1,000 people treated for injuries sustained from vehicle accidents was obtained,and each person was classified according to (1)ethnic status (African American or non-African American)and (2)set belt usage (worn or not worn)during the accident.The data are shown in the table below. Ethnic Status THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A study was conducted to determine whether the use of seat belts in vehicles depends on ethnic status in Detroit.A sample of 1,000 people treated for injuries sustained from vehicle accidents was obtained,and each person was classified according to (1)ethnic status (African American or non-African American)and (2)set belt usage (worn or not worn)during the accident.The data are shown in the table below. Ethnic Status    -At 5% level of significance,what is the critical value of the test statistic? -At 5% level of significance,what is the critical value of the test statistic?

(Short Answer)
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