Exam 16: Chi-Square

A market researcher is doing a blind taste test to determine if there are preferences among four different brands of chocolate. If n = 100, what is the expected frequency for each category?

97 males and 100 females, all aged 25 to 35, were asked about their satisfaction with their current weight. The results are in the table below. If a chi-square test is used to determine if there is a relationship between gender and weight satisfaction, what are the expected frequencies for each category?

If is lower than ,

A chi-square goodness of fit test was conducted with α = .05. The sample size was 100 spread over four categories. was 11.68 and was 7.815. Which of the following is correct for reporting the results?

Indicate the correct formulas for df and f_e for the chi-square tests below. a. Goodness of fit for known proportions b. Goodness of fit for no preference c. Test of independence

A candle manufacturer wanted to know which of four fragrances would be preferred for its new line of candles: vanilla, cinnamon, lavender, or eucalyptus. A random sample of 116 candle shoppers were asked their preferences with the following results: Vanilla - 32 Cinnamon - 14 Lavender - 37 Eucalyptus - 33 Conduct a chi-square goodness of fit test for equal preference using α = .05.

What is meant by observed frequencies?

Chi-square values will range from

The expected frequency for a chi-square test of independence is determined by ______________.

Under what conditions would you use a nonparametric test such as chi-square?

A random sample of 76 shoppers indicate their preference in a taste test for the following brands of smooth peanut butter: Georgia's Best, Tasty's, Eversmooth, and Uncle Jim's. If a chi-square goodness of fit test for equal preferences is used, what are the expected frequencies if the null hypothesis is true?

Which of the following is required for chi-square?

For a chi-square test of independence, df is determined by ___________.

The frequency values that would be expected if the null hypothesis is true are called ________________.

If no differences were found between observed and expected frequencies, then

A researcher was interested if there is a relationship between marital status (single or married) and type of television program preferred (drama, comedy, action, or documentary). 48 married and 52 single individuals indicted their preferred program type. A chi-square test of independence was conducted. α = .05, = 8.14, and . Which of the following is correct for reporting the results?

A marketing agency reported the following market share percentages for last year's top selling brands of yogurt: Brand A - 28%; Brand B - 21%; Brand C - 18%; Brand D - 12%; Other - 21%. Since some companies have recently enhanced their products, the agency conducted a survey to determine if the yogurt preferences reported this year match last year's market shares. The distribution of yogurt preferences for the 240 participants of the current study were as follows: Brand A - 60; Brand B - 77; Brand C - 48; Brand D - 26, and Other - 29. Conduct a chi-square goodness of fit test for known proportions using α = .05.

In chi-square problems, the sum of

In determining df for a chi-square good of fit test, k refers to

The null hypothesis for a chi-square goodness of fit test for known proportions specifies that