You are interested in investigating whether the type of computer a person primarily uses and the type of car they drive are dependent. The table below shows the results of a survey. Sedan SUV Truck Tablet 98 97 41 Notebook 101 103 40 Desktop 110 111 26 What can be concluded at the αα = 0.10 significance level? What is the correct statistical test to use? Goodness-of-Fit Paired t-test Homogeneity Independence What are the null and alternative hypotheses? H0:H0: Computer type and car type are dependent. The distribution of computer types is the same for each car type. Computer type and car type are independent. The distribution of computer types is not the same for each car type. H1:H1: The distribution of computer types is the same for each car type. The distribution of computer types is not the same for each car type. Computer type and car type are independent. Computer type and car type are dependent. The test-statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample = _ (Please show your answer to four decimal places.) The p-value is: greater than or less than/equal to. Based on this, we should reject the null accept the null fail to reject the null Thus, the final conclusion is... There is insufficient evidence to conclude that computer type and car type are dependent. There is sufficient evidence to conclude that the distribution of computer types is not the same for each car type. There is insufficient evidence to conclude that the distribution of computer types is not the same for each car type. There is sufficient evidence to conclude that computer type and car type are dependent. There is sufficient evidence to conclude that computer type and car type are independent.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

You are interested in investigating whether the type of computer a person primarily uses and the type of car they drive are dependent. The table below shows the results of a survey.

	Sedan	SUV	Truck
Tablet	98	97	41
Notebook	101	103	40
Desktop	110	111	26

What can be concluded at the αα = 0.10 significance level?

What is the correct statistical test to use?
- Goodness-of-Fit
- Paired t-test
- Homogeneity
- Independence
What are the null and alternative hypotheses?
H0:H0:
- Computer type and car type are dependent.
- The distribution of computer types is the same for each car type.
- Computer type and car type are independent.
- The distribution of computer types is not the same for each car type.
H1:H1:
- The distribution of computer types is the same for each car type.
- The distribution of computer types is not the same for each car type.
- Computer type and car type are independent.
- Computer type and car type are dependent.
1. The test-statistic for this data = ______ (Please show your answer to three decimal places.)
2. The p-value for this sample = _______ (Please show your answer to four decimal places.)
The p-value is: greater than or less than/equal to.
1. Based on this, we should
  - reject the null
  - accept the null
  - fail to reject the null
2. Thus, the final conclusion is...
  - There is insufficient evidence to conclude that computer type and car type are dependent.
  - There is sufficient evidence to conclude that the distribution of computer types is not the same for each car type.
  - There is insufficient evidence to conclude that the distribution of computer types is not the same for each car type.
  - There is sufficient evidence to conclude that computer type and car type are dependent.
  - There is sufficient evidence to conclude that computer type and car type are independent.