Exam 16: Analysis of Categorical Data

A cancer research group surveys 100 women more than 40 years old to test the hypothesis that 50% of women in this age group have regularly scheduled mammograms.Forty of the women respond affirmatively.Using $\alpha$ = 0.05,the appropriate decision is ________.

A cancer research group surveys 100 women more than 40 years old to test the hypothesis that 50% of women in this age group have regularly scheduled mammograms.Forty of the women respond affirmatively.Using $\alpha$ = 0.05,the null hypothesis is __________.

A recent national poll showed the reading habits of adults during the last 12 months: A poll in a small Midwestern town shows the following percentages: The null hypothesis is: ______.

A market researcher is studying the use of coupons by consumers of varying ages.She classifies consumers into four age categories and counts the number of grocery store customers who use at least one coupon during check out.It is expected that data are uniformly distributed across the four age categories.The observed data results in frequencies of 22,35,32,and 21. Using $\alpha$ = .05,the observed chi-square value is _______.

Use the following set of observed frequencies to test the independence of the two variables. Variable one has values of 'A' and 'B'; variable two has values of 'C','D',and 'E'. Using $\alpha$ = 0.05,the estimates of the expected frequency in row 1 (A)column 1 (C)when the two variables are independent is _______.

Catherine Chao,Director of Marketing Research,is evaluating consumer acceptance of alternative toothpaste packages. She wonders whether acceptance is influenced by children in the household. Her staff prepared the following contingency table from a random sample of 100 households. Using $\alpha$ = .05,the appropriate decision is ______________.

A cancer research group surveys 100 women more than 40 years old to test the hypothesis that 50% of women in this age group have regularly scheduled mammograms.Forty of the women respond affirmatively.Using $\alpha$ = 0.05,the observed value of chi-square is __________.

In a chi-square goodness-of-fit test,theoretical frequencies are also called expected frequencies.

A variable contains five categories. It is expected that data are uniformly distributed across these five categories.To test this,a sample of observed data is gathered on this variable resulting in frequencies of 27,30,29,21,and 24. Using $\alpha$ = .01,the degrees of freedom for this test are _______.

A market researcher is studying the use of coupons by consumers of varying ages.She classifies consumers into four age categories and counts the number of grocery store customers who use at least one coupon during check out.It is expected that data are uniformly distributed across the four age categories.The observed data results in frequencies of 22,35,32,and 21.Using $\alpha$ = .05,the appropriate decision is _______.

A two-way table used for a test of independence is sometimes called a contingency table.

The number of degrees of freedom in a chi-square goodness-of-fit test is the number of categories minus the number of parameters estimated.

When using the chi-square goodness-of-fit test,the type of distribution (uniform,Poisson,normal)being used does not influence the hypothesis test.

Sam Hill,Director of Media Research,is analyzing subscribers to the TravelWorld magazine. He wonders whether subscriptions are influenced by the head of household's highest degree earned. His staff prepared the following contingency table from a random sample of 300 households. Using $\alpha$ = .05,the appropriate decision is ______________.

A recent national poll showed the reading habits of adults during the last 12 months: A poll in a small Midwestern town shows the following percentages: The critical value of the chi-squared goodness-of-fit statistic is ______.

Use the following set of observed frequencies to test the independence of the two variables.Variable one has values of 'A' and 'B'; variable two has values of 'C','D',and 'E'. Using $\alpha$ = 0.05,the critical chi-square value is _______.

Catherine Chao,Director of Marketing Research,is evaluating consumer acceptance of alternative toothpaste packages. She wonders whether acceptance is influenced by children in the household. Her staff prepared the following contingency table from a random sample of 100 households. Catherine's null hypothesis is ______________.

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 there for this problem?

A chi-square goodness-of-fit test to determine if the observed frequencies in seven categories are uniformly distributed has six degrees of freedom.

A researcher believes that a variable is Poisson distributed across six categories.To test this,the following random sample of observations is collected: Using $\alpha$ = 0.10,the critical value of chi-square for the data is _______.