Is there any evidence to suggest that the true proportion of each favorite is no

Question

Is there any evidence to suggest that the true proportion of each favorite is not the same for all populations? Use a = 0.01. Random samples of customers at two different office-supply stores were obtained, and each customer was asked which type of writing implement he or she prefers. The results are summarized in the following two-way frequency table. WRITING Conduct a test for homogeneity of populations. Use a = 0.01. State your conclusion, justify your answer, and find bounds on the p value associated with this test. CBC/Radio and Canada is the nation's public broadcaster and airs regional and cultural programs in several languages. A survey was conducted concerning the funding level for this broadcasting corporation. A random sample of Canadians was selected, and each was asked whether funding should be increased, decreased, or maintained at the current levels. The data are summarized in the following two-way table.

Explanation / Answer

for above degree of freedom =2; and chi stat =13.3876; p value =0.0012

as p value is less then level of significance;we reject null hypothesis ; and conclude that there is asssociation b/w writing preference and suply store customers

Observed O traditional pencil mechanical pencil pen Total office max 183 164 480 827 staples 130 202 420 752 Total 313 366 900 1579 Expected E=rowtotal*column total/grand total traditional pencil mechanical pencil pen Total office max 163.934 191.692 471.374 827 staples 149.066 174.308 428.626 752 Total 313 366 900 1579 chi square =(O-E)^2/E traditional pencil mechanical pencil pen Total office max 2.218 4.0005 0.1578 6.376 staples 2.439 4.399 0.174 7.012 Total 4.656 8.400 0.331 13.3876

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