Exam 16: A: Statistical Testing of Differences and Relationships

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What kind of error is being made if the researcher fails to reject the null hypothesis when it is,in fact,false?

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Suppose a client wants to evaluate average weekly miles jogging by males and females.Initially,the consultant thinks a t-test would be the preferred method of analysis.However,the client wants to know where the differences exist among short,medium and long mileage joggers.What will the consultant have to do to satisfy his/her client?

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The research would have to take the metric data concerning mileage and create 3 classes according to distance,low mileage,medium mileage and high mileage joggers.This could be done by observing a frequency distribution of the mileage responses and breaking it into 3 parts at approximately 0-33.3%,33.4-66.7% and over 66.7%.Now mileage jogged weakly is in 3 discrete categories and can be crosstabulated with gender.

For comparing means,most statistical software packages use which test?

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What type of data would be necessary to have when testing for differences in means?

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Failing to reject the null hypothesis is the same as accepting the null hypothesis.

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A Type I error involves rejecting the null hypothesis when it is,in fact,true.

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Mathematical differences are the same as statistically significant differences.

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What is the purpose of statistical inferences?

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A consultant has collected 700 usable responses via a probability sample concerning political opinions.After analyzing each respondent's political ideology,he/she divides the respondents into two groups,moderate liberals and moderate conservatives.Further,the consultant asks respondents the following: How likely are you to vote for increasing property taxes in the next election? (1)very unlikely (2)somewhat unlikely (3)undecided (4)somewhat likely (5)very likely The consultant wants to determine if the moderate conservatives differ significantly from moderate liberals concerning how they'll vote on the property tax issue in the next election.How should the data be analyzed?

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Suppose in our sample results we find that males average drinking five soft drinks per week, compared with six soft drinks per week for females. In the absence of additional analysis, what type of difference has been illustrated?

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The issue of whether certain measurements are different from one another is central to many questions of critical interest to marketing managers.

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ANOVA is used to analyze the differences of more than 2 means.

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A consultant has a random sample of 400 usable responses in a database.Included are the following questions: Household Income Category: (1)$0 to $24,999 (2)$25,000 to $49,999 (3)$50,000 to $99,999 (4)$100,000 and over Average Weekly Soft Drink Consumption: _______________________ The consultant wants to determine if there are any statistically significant differences in average weekly soft drink consumption by income category.What statistical test should be applied to give the consultant the information he needs?

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The smaller the p value,the smaller is the probability that the observed result occurred by chance.

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What determines the decision of whether to use a one-tailed test or a two-tailed test when testing hypotheses to make inferences about a population mean?

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If a particular difference is large enough to be unlikely to have occurred because of chance or sampling error,then the difference is statistically significant.

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Illustrate a situation when is it more appropriate to use an Anova test rather than a crosstabulation with the chi-square test.

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In the decision that the null hypothesis is accepted,there must be enough evidence in the data that the alternative hypothesis is correct.

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In testing a hypothesis about means,if the sample size was less than 30,then the appropriate statistical test would be?

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The chi-square test enables the research analyst to determine whether an observed pattern of frequencies corresponds to,or fits,an "unexpected pattern."

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