Statistics Associations

What is a smaller, representative group drawn from a population?

• unit

• sample

• parameter

• statistic

What is the term in statistics for the entire collection or group of individuals being studied?

• population

• sample

• parameter

• statistic

What is a characteristic of a sample?

• parameter

• statistic

• categorical variable

• numerical variable

• I only

• II only

• III only

• II and III

• All three correct

A well-known chewing gum maker wants to determine if any of its four flavors of gum are more popular than the others. A random sample of 80 people who say they chew gum regularly is asked to identify their favorite flavor of gum. Here are the results: Which of the following would be an appropriate null hypothesis for the company to test?

• The observed counts are all equal to 20.

• Flavor preferences for the population are evenly distributed across the four flavors.

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

• The observed counts are equal to the expect counts.

A well-known chewing gum maker wants to determine if any of its four flavors of gum are more popular than the others. A random sample of 80 people who say they chew gum regularly is asked to identify their favorite flavor of gum. Here are the results: Which of the following are conditions that must be met in order to test this hypothesis using a chi-square test? I. If p = proportion of gum-chewers in the population, then np ≥10 and n(1− p) ≥10. II. All expected cell counts are at least 5. III. The sample size is no more than 10% of the population size.

• I and II only

• II and III only

• I and III only

• II only

• I, II, and III

Which of the following would be the appropriate null hypothesis for this test?

• The distribution of emotional associations with the color red is the same for male and female

  fourth-graders.

• Gender is dependent upon emotional association with the color red.

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

• The number of observations in each cell is the same for each emotional association.

• 25% of all fourth graders associate the color red with each of the four listed emotions.

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 love?

• 39

• 0.005 ≤ P − value ≤ 0.01

• 0.01≤ P − value ≤ 0.025

• 0.025 ≤ P − value ≤ 0.05

• 0.05 ≤ P − value ≤ 0.1

• P − value ≥ 0.1

For this chi-square test, what are the correct degrees of freedom?

• 3

• 5

• 6

• 11

• 12