Skills Day 14 Chapter 11 Test

An appropriate null hypothesis for the company to test would be:

• The observed counts are equal to the expected counts.

• The observed counts are all equal to 20.

• At least one of the four flavor preferences is different from the other three.

• Flavor preferences are uniformly distributed across the four flavors

Which of the following are conditions that must be met in order to test this hypothesis using a chi‑square goodness of fit test?

I. The population must be approximately Normal.

II. All expected cell counts are greater than 5.

III. The treatments are randomly assigned.

IV. The sample size is less than 10% of the

population.

V. The sample is randomly selected

VI. The results of one treatment have no effect on

the results of another treatment.

• I, IV, and V only

• II, III, and IV only

• I, III, and VI only

• II, IV, and V only

• II, III, and VI only

What is the expected count of people that prefer spearmint?

• 14

• 20

• 25

• 0.25

• 0.175

Tags

CCSS.HSS.MD.A.2

What is the degrees of freedom?

• 80

• 79

• 5

• 4

• 3

Which of the following conclusions is if x² = 3.3?

• We will reject the H₀ since the P-value of 0.3476 is larger than the significance level of 0.05.

• We will fail to reject the H₀ since the P-value of 0.5089 is larger than the significance level of 0.05.

• We will reject the H₀ since the P-value of 0.6524 is larger than the significance level of 0.05.

• (d) We will fail to reject the H₀ since the P-value of 0.3476 is larger than the significance level of 0.05.

• We will fail to reject the H₀ since the P-value of 0.6524 is larger than the significance level of 0.05.

Does your zodiac sign determine how successful you will be later in life? A study of 256 business executives conducted and the zodiac sign of each was determined. A chi-square test was conducted to see if all 12 zodiac signs were equally likely and the resulting p-value was 0.926. Which of the following describes the probability of a Type I error?

• The probability of not finding convincing evidence that the zodiac signs are not equally likely, when in reality they are not equally likely.

• The probability of not finding convincing evidence that the zodiac signs are not equally likely, when in reality they are equally likely.

• The probability of finding convincing evidence that the zodiac signs are not equally likely, when in reality they are not equally likely.

• The probability of finding convincing evidence that the zodiac signs are not equally likely, when in reality they are equally likely.

• The probability of finding convincing evidence that the zodiac signs are equally likely, when in reality they are equally likely.

The appropriate null hypothesis for this test is

• Emotional associations with the color red are independent of gender.

• There is a difference in the distribution of emotions connected to the color red for male and female fourth-graders.

• There is no association between the emotions connected to the color red and gender for fourth-graders.

• There is an association between the emotions connected to the color red and gender for fourth-graders.

• There is no difference in the distribution of emotions connected to the color red for male and female fourth-graders.

The table shows the marginal distributions for emotion and gender. Under the assumption that the null hypothesis is true, which of the following represents the expected count for female children who associate the color red with anger?

• 25.5

• 26.75

• 29.07

• 30.5

• Not enough info

Which of the following represents the component of the chi-square statistic?

• female anger

• male anger

• female love

• male love

• male happiness

The chi-square statistic for these data is = 7.01. Which of the following intervals contains the P-value for this test?

• x < 0.005

• 0.005 < x < 0.01

• 0.01 < x < 0.05

• 0.05 < x < 0.10

• x > 0.10