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. Frequencies of Computer and Car Types Sedan SUV Truck SPIT 81 80 83 102 100 116 Tablet Notebook 52 34 Desktop What can be concluded at the a = 0.10 significance level? 28

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4CGP
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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.
Frequencies of Computer and Car
Types
Sedan SUV Truck
Tablet
81
80
52
Notebook
83
102
34
Desktop 100 116
28
What can be concluded at the a = 0.10 significance level?
Transcribed Image Text: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. Frequencies of Computer and Car Types Sedan SUV Truck Tablet 81 80 52 Notebook 83 102 34 Desktop 100 116 28 What can be concluded at the a = 0.10 significance level?
b. What are the null and alternative hypotheses?
Ho:
The distribution of computer types is not the same for each car type.
O Computer type and car type are independent.
The distribution of computer types is the same for each car type.
O Computer type and car type are dependent.
H₁:
The distribution of computer types is not the same for each car type.
The distribution of computer types is the same for each car type.
Computer type and car type are independent.
O Computer type and car type are dependent.
c. The test-statistic for this data
d. The p-value for this sample=
=
e. The p-value is Select an answer
f. Based on this, we should
O fail to reject the null
reject the null
accept the null
(Please show your answer to three decimal places.)
(Please show your answer to four decimal places.)
a
g. Thus, the final conclusion is...
O There is insufficient evidence to conclude that the distribution of computer types is not the
same for each car type.
O There is insufficient 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.
There is sufficient evidence to conclude that the distribution of computer types is not the
same for each car type.
O There is sufficient evidence to conclude that computer type and car type are dependent.
Transcribed Image Text:b. What are the null and alternative hypotheses? Ho: The distribution of computer types is not the same for each car type. O Computer type and car type are independent. The distribution of computer types is the same for each car type. O Computer type and car type are dependent. H₁: The distribution of computer types is not the same for each car type. The distribution of computer types is the same for each car type. Computer type and car type are independent. O Computer type and car type are dependent. c. The test-statistic for this data d. The p-value for this sample= = e. The p-value is Select an answer f. Based on this, we should O fail to reject the null reject the null accept the null (Please show your answer to three decimal places.) (Please show your answer to four decimal places.) a g. Thus, the final conclusion is... O There is insufficient evidence to conclude that the distribution of computer types is not the same for each car type. O There is insufficient 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. There is sufficient evidence to conclude that the distribution of computer types is not the same for each car type. O There is sufficient evidence to conclude that computer type and car type are dependent.
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