Chi Square Test

Find the degrees of freedom.

• 4
• 5
• 6
• 7

Tags

CCSS.HSS.IC.B.4

CCSS.HSS.IC.B.5

CCSS.HSS.ID.A.4

The table shows the number or babies born on each day of the week.  Is there evidence that births are more likely on specific days of the week?

• yes, the p value is greater than .05
• no, the p value is less than .05
• yes, the p value is less than .05
• no, the p value is greater than .05

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

CCSS.HSS.ID.B.5

Which test would you use to see if the distribution of music that Californians listen to is the same as that of Nevadans?  900 Californians and 600 Nevadans were surveyed.

• Chi-square Goodness of Fit Test
• Chi-Square Test for Homogeneity
• Chi-Square Test for Independence/Association
• Not a Chi-square test

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.B.5

Which test would you use .... In 1974, each acre of the Tahoe basin was assessed to see what condition the soil was in.  23% of acres were of type I, 32% were of type II, 41% were of type III, and 16% were of type IV.  This year the region was assessed again and the number of each type were again determined.

• Chi-square Goodness of Fit Test
• Chi-Square Test for Homogeneity
• Chi-Square Test for Independence/Association
• Not a Chi-square test

Tags

CCSS.HSS.ID.B.5

What are the expected counts of a female who likes Pepsi?

• 10.5
• 11
• 14.5
• 6.3

Tags

CCSS.HSS.CP.A.4

CCSS.HSS.ID.B.5

CCSS.HSS.MD.A.2

The manager of a high school cafeteria is planning to offer several new types of food for student lunches in the following school year.  She wants to know if each type of food will be equally popular so she can start ordering supplies.  To find out, she selects a random sample of 100 students and asks them, "Which type of food do you prefer: Asian food, Mexican food, pizza, or hamburgers?"  Here are the data in the table provided.  Identify the p-value and decide which of the following is the most appropriate conclusion?

• Because 0.0129 is less than α = 0.05, fail to reject H₀.  There is convincing evidence that the food choices are equally popular.
• Because 0.0129 is less than α = 0.05, reject H₀.  There is convincing evidence that the food choices are not equally popular.
• Because 0.0289 is less than α = 0.05, reject H₀.  There is convincing evidence that the food choices are not equally popular.
• Because 0.0289 is less than α = 0.05, fail to reject H₀.  There is not convincing evidence that the food choices are equally popular.

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.IC.B.3

CCSS.HSS.IC.B.4

CCSS.HSS.ID.B.5

Which statement is NOT correct about the chi-square test statistic?

• a)A value close to 0 would indicate expected counts are much different from observed counts.
• b)A large value of the test statistic would be in support of the alternative hypothesis.
• c)A small value of the test statistic would indicate evidence supporting the null hypothesis.
• d)The test statistic is the sum of positive numbers and therefore must be positive.

: The chi-square statistic is similar to all other test statistics we have discussed  in that it compares observed values to values that would be expected if H0 were true. 

• True
• False

In the formula for Chi Sqare, the O stands for

• the sum

• the observed frequency

• The expected frequency

• the p value

In the formula for Chi Sqare, the E stands for

• the sum

• the observed frequency

• The expected frequency

• the p value