Assume an industrial psychologist has polled a group of adults on which characteristic of an automobile is most important to them, appearance, performance, or economy. Some of these adults have kids and some don't. The number people preferring each of these response categories is given below. PREFERENCE Appearance Performance Economy ________________________________________________________ | | | | Kids |_ |_ |_ | | 70 | 60 | 120 | |_______ |_ |___________| | | | | No Kids |_ |_ |_ | | 145 | 75 | 80 | |_______ |_ |_____________| Use the chi-square test for independence to test whether these variables are related at alpha = .05. You'll need to get all of the expected values, and row and column totals. What is the null hypothesis for this test? H0: Parenting status and preference are independent in the population H0: Parenting status and preference are not independent in the population. H0: Parenting status and preference are independent in the sample. H0: Parenting status and preference are not independent in the sample. What is the alternative hypothesis for this test? H1: Parenting status and preference are related in the sample. H1: Parenting status and preference are not related in the sample. H1: Parenting status and preference are not related in the population. H1: Parenting status and preference are related in the population. What are the degrees of freedom for the test? 2 3 4 6 What is the critical value for the test? 5.99 3.84 9.448 7.38 52. What value did you get for chi-square?

Question

Assume an industrial psychologist has polled a group of adults on which characteristic of an automobile is most important to them, appearance, performance, or economy. Some of these adults have kids and some don't. The number people preferring each of these response categories is given below.

PREFERENCE

Appearance Performance Economy

__________________________________________________________

| | | |

Kids |_____ |_____ |_____ |

| 70 | 60 | 120 |

|_________________ |_________________ |_____________________|

| | | |

No Kids |_____ |_____ |_____ |

| 145 | 75 | 80 |

|_________________ |_________________ |_____________________|

Use the chi-square test for independence to test whether these variables are related at alpha = .05. You'll need to get all of the expected values, and row and column totals.

What is the null hypothesis for this test?

		H₀: Parenting status and preference are independent in the population
		H₀: Parenting status and preference are not independent in the population.
		H₀: Parenting status and preference are independent in the sample.
		H₀: Parenting status and preference are not independent in the sample.

What is the alternative hypothesis for this test?

		_H1: Parenting status and preference are related in the sample.
		H₁: Parenting status and preference are not related in the sample.
		H₁: Parenting status and preference are not related in the population.
		H₁: Parenting status and preference are related in the population.

What are the degrees of freedom for the test?

		2
		3
		4
		6

What is the critical value for the test?

		5.99
		3.84
		9.448
		7.38

52.

What value did you get for chi-square?

What is the correct/best conclusion?

		Reject Ho. Parental status and preference are not related in the population. More parents preferred economy than expected by chance, whereas more people without kids preferred appearance than expected by chance.
		Reject Ho. Parental status and preference are related in the population. More parents preferred economy than expected by chance, whereas more people without kids preferred appearance than expected by chance.
		Reject Ho. Parental status and preference are not related in the population. Fewer parents preferred economy than expected by chance, whereas fewer people without kids preferred appearance than expected by chance.
		Reject Ho. Parental status and preference are related in the population. More parents preferred economy than expected by chance, whereas fewer people without kids preferred appearance than expected by chance.