Exam 16: Analysis of Categorical Data

A chi-square goodness-of-fit test is being used to test the goodness-of-fit of a uniform distribution for a dataset with "k" categories.This test has (k-3)degrees of freedom.

A chi-square goodness of fit test is to be performed to see if data fit the Poisson distribution.There are 8 categories,and lambda must be estimated.Alpha is chosen to be 0.10. The critical (table)value of chi-square is _______.

In a chi-square goodness-of-fit test,actual frequencies are also called calculated frequencies.

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 $\alpha$ = .10,the appropriate decision is _______.

Anita Cruz recently assumed responsibility for a large investment portfolio. She wonders whether industry sector influences investment objective.Her staff prepared the following contingency table from a random sample of 200 common stocks. Using $\alpha$ = .01,observed chi-square value is ______________.

A gasoline distributor wonders whether an individual's income level influences the grade of gasoline purchased.The following is a contingency table from a random sample of 300 individuals. Using $\alpha$ = .05,appropriate decision is ______________.

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 critical value of chi-square is _______.

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 observed value of chi-square is _______.

A gasoline distributor wonders whether an individual's income level influences the grade of gasoline purchased.The following is a contingency table from a random sample of 300 individuals. Using $\alpha$ = .05,observed chi-square value is ______________.

A gasoline distributor wonders whether an individual's income level influences the grade of gasoline purchased.The following is a contingency table from a random sample of 300 individuals. The null hypothesis is ______________.

In a chi-square test of independence the contingency table has 4 rows and 3 columns.The number of degrees of freedom for this test is 7.

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 minus one.

Sami Schmitt believes that number of cars arriving at his Scrub and Shine Car Wash follow a Poisson distribution. He collected a random sample and constructed the following frequency distribution to test his hypothesis. The number of degrees of freedom for this goodness-of-fit test is _______.

A chi-square goodness of fit test is to be performed to see if data fit the Poisson distribution. There are 6 categories,and lambda must be estimated. How many degrees of freedom should be used?

Anita Cruz recently assumed responsibility for a large investment portfolio. She wonders whether industry sector influences investment objective.Her staff prepared the following contingency table from a random sample of 200 common stocks. Using $\alpha$ = .01,appropriate decision is ______________.

In a chi-square test of independence the contingency table has 4 rows and 3 columns.The number of degrees of freedom for this test is 6.

A researcher believes that arrivals at a walk-in hair salon are Poisson distributed.The following data represent a distribution of frequency of arrivals in a one hour time period. Using $\alpha$ = 0.10,the critical chi-square value for this goodness-of-fit test is _______.

The null hypothesis in a chi-square goodness-of-fit test is that the observed distribution is the same as the expected distribution.

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. The observed value of chi-square is ______________.

A gasoline distributor wonders whether an individual's income level influences the grade of gasoline purchased.The following is a contingency table from a random sample of 300 individuals. Using $\alpha$ = .05,critical chi-square value is ______________.