Exam 10: Chi-Square and Analysis of Variance Anova

Monica, a chef at a 5 -star restaurant, makes eight different desserts. She wants to see if the customers prefer any specific dessert over another. She keeps a record of desserts ordered over the course of several weeks. At $a = 0.05$ , check to see if the desserts being ordered are equally distributed. Dessert Frequenc Chocolate Mousse 25 Baked Alaska 12 Orange Cheesecake 23 Caramel Flan 32 Banana Brle 40 Mississippi Mud Pie 20 Ricotta Cannoli 38 Table 11-2 French Walnut Torte 34 -What is the test statistic?

Given that a contingency table has dimensions of 5 × 5, what is the critical value of chi-square at α = 0.05?

In a chi-square goodness-of-fit test, when there is close agreement between the observed frequency and the expected frequency, the chi-square test value will be small.

Cattle are classified according to age (young, medium, and old) and as to carcass quality (grades A, B, and C). In one study, the animals were classified as : The chi-square statistic for testing if there is an association between age and grade was calculated. The null hypothesis being tested is:

A chewing gum manufacturer wishes to determine if his customers prefer one flavour of gum to any other flavour. He selects a random sample of customers and records the flavour of gum that is purchased. What Type Number Sold Spearmint 25 Wintergreen 32 is the test statistic for the data given? Cherry 18 Cinnamon 43

The chi-square goodness-of-fit test is always one-tailed left.

Cattle are classified according to age (young, medium, and old) and carcass quality (grades A, B, and C). In one study, the animals were classified as : Grade A 75 medium old Total Grade B 100 80 25 180 Grade C 75 20 30 150 Total 250 50 45 170 150 100 500 The chi-square statistic for testing if there is an association between age and carcass quality was calculated. What is the expected frequency for the $( 2,2 )$ cell?

The two types of test that use a contingency table are the independence test and the __________ test.

A shoe salesman wants to see if his female customers have a preference in the colour of shoe purchased. What is the test statistici for the following data? Black Brown Red Navy White 48 32 13 18 23

A research firm reported that 15% of those surveyed described their health as poor, 26% as good, 40% as very good, and 19% as excellent. A health professional in Halifax wants to determine if people in Halifax have similar feelings toward their health. In a sample of 610 people in Halifax, 70 described their health as poor, 180 as good, 220 as very good, and 140 as excellent. Plot the observed and expected values and calculate the test value.

A contingency table is made up of 8 rows and 4 columns. How many degrees of freedom are present?