Exam 15: Nonparametric Methods: Nominal Level Hypothesis Tests

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The following table classifies 100 individuals using two variables, gender and college attended. The following table classifies 100 individuals using two variables, gender and college attended.   What is this two-way classification called? What is this two-way classification called?

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A manufacturer claims that less than 1% of all its products do not meet the minimum government standards. A survey of 500 products revealed that 10 did not meet the standard. Thus, the computed z statistic is ______________.

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Which of the following statements is correct regarding the goodness-of-fit test?

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The degrees of freedom for a chi-square goodness-of-fit test is equal to ______________.

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Based on the Nielsen ratings, the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station. What is the z test statistic?

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It is claimed that in a bushel of peaches, less than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. If α = 0.025, what will be the decision?

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A sample of 100 production workers is obtained. The workers are classified by gender (male, female) and by age (under 20, 20-29, 30-39, and 40 or over). How many degrees of freedom are there?

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A recent study of the relationship between social activity and education for a sample of corporate executives showed the following results. A recent study of the relationship between social activity and education for a sample of corporate executives showed the following results.   The appropriate test to analyze the relationship between social activity and education is __________. The appropriate test to analyze the relationship between social activity and education is __________.

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A frequency distribution has a mean of 100 and a standard deviation of 20. The class limits for one class are 50 up to 60. Based on the normal distribution, what is the probability that an observation would be in this class?

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A survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related to the distance between their home and the street. A randomly selected sample of 100 property owners was contacted and the results are shown next. A survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related to the distance between their home and the street. A randomly selected sample of 100 property owners was contacted and the results are shown next.   What is your decision regarding the null hypothesis at the 5% level of significance? What is your decision regarding the null hypothesis at the 5% level of significance?

(Essay)
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A survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related to the distance between their home and the street. A randomly selected sample of 100 property owners was contacted and the results are shown next. A survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related to the distance between their home and the street. A randomly selected sample of 100 property owners was contacted and the results are shown next.   What is the alternative hypothesis? What is the alternative hypothesis?

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The contingency table for a sample of corporate executives classified by educational level and the social activity follows. The contingency table for a sample of corporate executives classified by educational level and the social activity follows.   What does the expected frequency for the above average social activity and high school education equal? What does the expected frequency for the "above average" social activity and "high school" education equal?

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If an employee wanted to investigate the relationship between performance rating and gender, what type of analysis should be used?

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Students were sampled in order to determine their support for the legalization of gambling in their community. A sample of 150 students were asked whether or not they supported legalization of gambling, and the following results were obtained. Students were sampled in order to determine their support for the legalization of gambling in their community. A sample of 150 students were asked whether or not they supported legalization of gambling, and the following results were obtained.   The number of degrees of freedom associated with this scenario is _____. The number of degrees of freedom associated with this scenario is _____.

(Multiple Choice)
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In a contingency table analysis, the decision to reject the null hypothesis is based on a __________ test statistic.

(Short Answer)
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A survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related to the distance between their home and the street. A randomly selected sample of 100 property owners was contacted and the results are shown next. A survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related to the distance between their home and the street. A randomly selected sample of 100 property owners was contacted and the results are shown next.   This classification is summarized with what kind of table? This classification is summarized with what kind of table?

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Six people have declared their intentions to run for a seat on the school board in the next local election. A poll is conducted during the campaign among 1,020 randomly sampled voters to determine if there is any clear preference among the voters. The responses are shown next. Six people have declared their intentions to run for a seat on the school board in the next local election. A poll is conducted during the campaign among 1,020 randomly sampled voters to determine if there is any clear preference among the voters. The responses are shown next.   At the 1% level of significance, what is your decision regarding the null hypothesis? At the 1% level of significance, what is your decision regarding the null hypothesis?

(Essay)
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A manufacturer claims that less than 1% of all its products do not meet the minimum government standards. A survey of 500 products revealed that 10 did not meet the standard. If the z-statistic is -2.58 and the level of significance is 0.02, your decision would be __________.

(Short Answer)
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For a goodness-of-fit test, the following are possible null and alternate hypotheses: H0: Sales are uniformly distributed among the five locations. H1: Sales are not uniformly distributed among the five locations.

(True/False)
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The shape of the chi-square distribution is _________________.

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