Step 1: Write down your null and alternative hypotheses. Use p1 to represent the proportion of the population who preferred Brand 1 over the other two brands, and p2 to represent the population proportion for Brand 2 and p3 for Brand 3. H0: Ha: Group of answer choices Null: There is a preference for one or more brands, that is p’s are not all equal. Alternative: There is no brand preference, that is p1 = p2 = p3 = 1/3; Null: There is no brand preference, that is p’s are not all equal. Alternative: There is a preference for one or more brands, that is p1 = p2 = p3 = 1/3; Null: There is no brand preference, that is p1 = p2 = p3 = 1/3; Alternative: there is a preference for one or more brands, that is p’s are not all equal.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Step 1:  Write down your null and alternative hypotheses. Use p1 to represent the proportion of the population who preferred Brand 1 over the other two brands, and p2 to represent the population proportion for Brand 2 and p3 for Brand 3.

 

H0:

Ha:

Group of answer choices
Null: There is a preference for one or more brands, that is p’s are not all equal. Alternative: There is no brand preference, that is p1 = p2 = p3 = 1/3;
Null: There is no brand preference, that is p’s are not all equal. Alternative: There is a preference for one or more brands, that is p1 = p2 = p3 = 1/3;
Null: There is no brand preference, that is p1 = p2 = p3 = 1/3; Alternative: there is a preference for one or more brands, that is p’s are not all equal.
Null: There is a preference for one or more brands, that is p1 = p2 = p3 = 1/3; Alternative: There is no brand preference, that is p’s are not all equal.
 
Observed Frequency
Expected Frequency
|(fe)
Brand
|(fo)
|(fo - fe)2 / fe
1
78
2
117
3
105
Test statistic:
Total
| 300
Step 2: Find the test statistic. Is this a z-score, t-score or chi-square statistic? Find the corresponding degrees of freedom.
Transcribed Image Text:Observed Frequency Expected Frequency |(fe) Brand |(fo) |(fo - fe)2 / fe 1 78 2 117 3 105 Test statistic: Total | 300 Step 2: Find the test statistic. Is this a z-score, t-score or chi-square statistic? Find the corresponding degrees of freedom.
Expert Solution
Step 1

Hypothesis :

Null hypothesis :

H0 : There is no brand preference, that is p1 = p2 = p3 = 1/3

Alternative Hypothesis

H1 : there is a preference for one or more brands, that is p’s are not all equal.

We have to perform Chi-square goodness of fit test. 

 

 

 

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