The Bitter Bottling Company has developed "Featherweight," the

Kason Palmer

Kason Palmer

Answered question

2022-04-01

The Bitter Bottling Company has developed "Featherweight," the cola with fewer calories and less taste. To evaluate this new product, the marketing manager gives a taste test to a random sample of 300 people. Each person in the sample tastes Featherweight and 4 other diet cola brands. To avoid bias, the actual brand labels are replaced by the letters A, B, C, D, and E. The results of the sample are shown in the following table:
 Brand  Number of Preferring Brand  A 50 B 65 C 45 D 70 E 70
Do the customers prefer a particular brand more than the others?
Use an alpha of 0.05.
1.What type of hypothesis testing should be used?
a. Chi-square Goodness of Fit Test
b. Chi-square Test on Independence
2. What are the null and alternative hypothesis?
a. H0: The market does not have preferences; H1: The market does have preference
b. H0: The market does have preferences; H1: The market does not have preference
3. What are the significance level and the type of test?
a. α=0.05, Right-tailed
b. α=0.05, left-tailed
c. α=0.05, two-tailed

Answer & Explanation

SofZookywookeoybd

SofZookywookeoybd

Beginner2022-04-02Added 15 answers

The table shows the number of preferring brand with actual brands labels letters A, B, C, D, and E.
1. Chi-square Goodness of fit test: The chi-square is a non-parametric test which is used for comparing the categorical variables. The chi-square goodness of fit test helps in determining how the observed distribution fits the expected distribution. It is used for comparing the observed data with the expected data.
The variables Brands and observation group(Number preferring Brand) are categorical. The chi-square goodness of fit test can be used for testing the customers prefer a particular brand more than the other using the expected frequencies.
Thus, the type of hypothesis testing should be used is Chi-square Goodness of Fit Test.
Correct Answer: Option 1.
2. The hypothesis is,
Null hypothesis:
H0: The market does not have preferences.
Alternative hypothesis:
H1: The market does have preferences.
Correct Answer: Option 1.
allemelrypi0e

allemelrypi0e

Beginner2022-04-03Added 11 answers

And 3. Since the chi-square test is right-tailed test.
Thus, the significance level is 0.05, and the type of test is right-tailed.
Option 1 is correct.

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