Company A has recently conducted aggressive advertising campaigns to maintain and possible increase its share of the market for fabric softener. Its main competitor, company B, has 39%of the market, and a few other competitors account for the remaining 19%. To determine whether the market shares changed after the advertising campaign, the marketing manager for company A solicited the preferences of a random sample 220 customers of fabric softener. Of the 220 customers, 99 indicated a preference for company A's product, 80 preferred company B's product, and the remaining 41 preferred the products of one of the other competitors. Can the analyst infer at 4% significance level that customer preferences have changed from their levels before the advertising campaigns were launched?
Company A has recently conducted aggressive advertising campaigns to maintain and possible increase its share of the market for fabric softener.
Its main competitor, company B, has 39%of the market, and a few other competitors account for the remaining 19%.
To determine whether the market shares changed after the advertising campaign, the marketing manager for company A solicited the preferences of a random sample 220 customers of fabric softener.
Of the 220 customers, 99 indicated a preference for company A's product, 80 preferred company B's product, and the remaining 41 preferred the products of one of the other competitors.
Can the analyst infer at 4% significance level that customer preferences have changed from their levels before the advertising campaigns were launched?
![1 Company P
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A
3 B
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42%
39%
19%
100%
Observed (Actual) count Expected Count
92.4
85.8
41.8
220
P-Value=
99
80
41
220
0.644418394
1
1
E
G
H
+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1402ae89-ddd6-4d3d-be54-d5c5eea3ccbf%2F834f8ece-821b-4fd6-a621-896c85ff743c%2F9l5yxr9_processed.jpeg&w=3840&q=75)
![customer preferences among companies)
Before answering the questions below, please follow this video guide to
complete computations in Excel necessary to answer the following questions.
As you work in Excel be sure to save all your work and clearly label your results.
4
c. Based on the given information and the expected counts you computed in the Excel sheet, are the
assumptions (or conditions) of chi-squared test for goodness of fit met?
No
because sample is not
random and each expected count is smaller
d. Based on your work in the Excel sheet, provide the value of p-value properly rounded to 4 decimal
places.
0.6444
e. At 0.04 significance level, based on the p-value of the chi-squared test, select the correct
conclusion.
Previous
✓than 5.
There is evidence that the customer preferences have changed after advertising campaign.
O There is not enough evidence that the customer preferences have changed after advertising
campaign.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1402ae89-ddd6-4d3d-be54-d5c5eea3ccbf%2F834f8ece-821b-4fd6-a621-896c85ff743c%2F8dh7v7_processed.jpeg&w=3840&q=75)
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