Contamination of various food products is an ongoing problem all over the world.

Question

Contamination of various food products is an ongoing problem all over the world. The article "Prevalence and Quantitative Detection of Salmonella in Retail Raw Chicken in Shaanxi, China" J. of Food Production, 2013) reported the following data on the occurrence of salmonella in chicken of three different types: (1) super- market chilled, (2) supermarket frozen, and (3) wet market fresh slaughtered. # Salmonella Positive Samples Sample Size 60 60 120 27 32 45 1. Type2. 3. Does it appear that the incidence rate of salmonella occurrence depends on the type of chicken? State and test the appropriate hypotheses using a significance level of.05

Explanation / Answer

H0 : incidence rate of salmonella occurance is independent of type of chicken.

Ha : incidence rate of salmonella occurance is dependent of type of chicken.

The Expected proportion for each chiken if incidence rate is of salmonella occurance is independent of type of chicken= (27 + 32 + 45)/(60 + 60 + 120) = 0.433

here, X2 = 2.3654

dF = 2 and alpha = 0.05

so X22,0.05 = 5.9914

so X2 < X22,0.05  so we shall not reject the null hypothesis and can conclude that incidence rate of salmonella occurance is independent of type of chicken.

sample size Positive samples (O) Expected (o-E)^2/E Type 1 60 27 26 0.0385 2 60 32 26 1.3846 3 120 45 52 0.9423 Sum 240 104 104 2.3654

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