UCK UNIVERSITY BIOLOGY DEPARTMENT BIOLOGY 100 C.M. CHMIELEWSKI, INSTRUCTOR Assig

Question

UCK UNIVERSITY BIOLOGY DEPARTMENT BIOLOGY 100 C.M. CHMIELEWSKI, INSTRUCTOR Assignment # 3 Statistics Assignment grocery store wanted to know if its customers thought whether the store-made cookies tasted as good as the pre-packaged ones they sold. They conducted a survey where they allowed customers to taste each type of cookie in a blind taste test (the customer did not know which cookie was which) and asked them which cookie they preferred. The results are shown below. Number of people who preferred the store-made cookies: 107 Number of people who preferred the pre-packaged cookies: 93 chi-square test to determine if the cookie types were chosen in a 1:1 ratio. Use the

Explanation / Answer

For both the question we have use MINITAB software to get the chi-square test statistics and will make decision on the basis of p-value of the test( p-value<0.05 reject H0 otherwise accept)

1) H0: ratio of store made and pre-package is same

H1: not H0

Chi-Square Goodness-of-Fit Test for Observed Counts in Variable: y

Test Contribution
Category Observed Proportion Expected to Chi-Sq
1 107 0.5 100 0.49
2 93 0.5 100 0.49

N DF Chi-Sq P-Value
200 1 0.98 0.322

by test we get p-value=0.322>0.05 hence we accept H0 and claim that the ratio is same.

2)

H0: ratio is same for both

vs

H1: dog is performed better

Chi-Square Goodness-of-Fit Test for Observed Counts in Variable: y

Test Contribution
Category Observed Proportion Expected to Chi-Sq
1 19 0.5 13 2.76923
2 7 0.5 13 2.76923

N DF Chi-Sq P-Value
26 1 5.53846 0.019

here we get p-value=0.019<0.05 hence we can reject H0 and can omment that the proportion is high towards trained  

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