Exam 11: Data Analysis: Frequency Distribution, Hypothesis Testing, and Cross-Tabulation

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In a short essay, list and discuss at least three statistics associated with cross-tabulation.

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a. Chi-square - this statistic is used to test the statistical significance of the observed association in a cross-tabulation. It assists a researcher in determining whether a systematic association exists between the two variables.
b. Phi coefficient - this is used as a measure of the strength of association in the special case of a table with two rows and two columns. The phi coefficient is proportional to the square root of the chi-square statistic.
c. Contingency coefficient - while the phi coefficient is specific to a 2 × 2 table, the contingency coefficient can be used to assess the strength of association in a table of any size. This index is also related to chi-square.
d. Cramer's V - this is a modified version of the phi correlation coefficient and is used in tables larger than 2 × 2. When phi is calculated for a table larger than 2 × 2, it has no upper limit.

A measure of how close the sample has come to the null hypothesis is called the test statistic.

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Standard deviation is the square root of the variance and is expressed in the same units as the data.

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Type II error occurs when the sample results lead to nonrejection of a null hypothesis that is in fact false.

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The power of a test is the probability of accepting the null hypothesis when it is in fact true and should be accepted.

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A statement that some difference or effect is expected is called a null hypothesis.

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In commercial marketing research, the one-tailed test is used more often than a two-tailed test.

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Data collected in social media often lend themselves to basic analysis involving frequencies, percentages and cross-tabulations.

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The null hypothesis refers to a specified value of the population parameter, not a sample statistic.

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Which of the following is used to estimate the average when the data have been collected using an interval or ratio scale?

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An alternative hypothesis is a statement of the status quo, one of no difference or no effect.

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A frequency distribution ________.

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If the distribution is asymmetric and the variable is measured on a nominal scale, the ________ should be used as a measure of location.

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The ________ is the probability of rejecting the null hypothesis when it is false and should be rejected.

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According to the text, which of the following represents the highest peak of the distribution?

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A measure of central tendency given as the value above which half of the values fall and below which half of the values fall is called the ________.

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A test of the null hypothesis where the alternative hypothesis is not expressed directionally is called a one-tailed test.

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The ________ should be used as a measure of location if the distribution is asymmetric and the variable is measured on an ordinal scale.

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The difference between the smallest and largest values of a distribution is called the variance.

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________ occurs when the sample results lead to the rejection of a null hypothesis that is in fact true.

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