What are the hypotheses for this test? Ho: PP Ps= P4 P Po 0.167 HA one of these proportions is different than assumed. He gender and favorite color are independent HA gender and favorite color are dependent Ho females and males are homogeneous in their color preferences H₁: females and males are heterogeneous in their color preferences

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 3BGP
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Please help I need help with these 3 questions
1
2
-0
What are the hypotheses for this test?
32
Ho: P
P2Ps P4Ps Po 0.167
HA: one of these proportions is different than assumed.
Hogender and favorite color are independent
HA gender and favorite color are dependent
He females and males are homogeneous in their color preferences
HA females and males are heterogeneous in their color preferences
What assumption(s) would we need to check?
all nupi> 5
equal variances
0000
33
normally distributed data
all E, > 5
What is your decision?
Reject Ho.
8
O
早
There is not enough evidence to conclude that there is a relationship
between gender and favorite color.
7
There is enough evidence to conclude that there is a relationship between
gender and favorite color.
Fail to reject Ho.
Transcribed Image Text:1 2 -0 What are the hypotheses for this test? 32 Ho: P P2Ps P4Ps Po 0.167 HA: one of these proportions is different than assumed. Hogender and favorite color are independent HA gender and favorite color are dependent He females and males are homogeneous in their color preferences HA females and males are heterogeneous in their color preferences What assumption(s) would we need to check? all nupi> 5 equal variances 0000 33 normally distributed data all E, > 5 What is your decision? Reject Ho. 8 O 早 There is not enough evidence to conclude that there is a relationship between gender and favorite color. 7 There is enough evidence to conclude that there is a relationship between gender and favorite color. Fail to reject Ho.
A researcher wants to know if there is a relationship between gender and favorite
color. For this problem, a = 0.01
Freq: Frequencies
4 Contingency Table
Gender
Type of Car
Count female male Total
Expected
blue
red
yellow
Total
4 Tests
N
1000
180
182.5
210
192.5
110
125
500
365
Test
Likelihood Ratio
185
182.5
175
192.5
140
125
500 1000
385
250
31
DF -Log Like RSquare (U)
2 3.4317004
0.0050
ChiSquare Prob>ChiSq
6.863
0.0323*
Transcribed Image Text:A researcher wants to know if there is a relationship between gender and favorite color. For this problem, a = 0.01 Freq: Frequencies 4 Contingency Table Gender Type of Car Count female male Total Expected blue red yellow Total 4 Tests N 1000 180 182.5 210 192.5 110 125 500 365 Test Likelihood Ratio 185 182.5 175 192.5 140 125 500 1000 385 250 31 DF -Log Like RSquare (U) 2 3.4317004 0.0050 ChiSquare Prob>ChiSq 6.863 0.0323*
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