question archive 4)A researcher notes that there seems to be a difference in the prevalence of high cholesterol among individuals who smoke and consume diets high in processed food and the prevalence of high cholesterol among individuals who do not smoke and do not consume diets high in processed foods
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4)A researcher notes that there seems to be a difference in the prevalence of high cholesterol among individuals who smoke and consume diets high in processed food and the prevalence of high cholesterol among individuals who do not smoke and do not consume diets high in processed foods. Use the appropriate hypothesis to test for independence of two independent variables presented here at the 5% significance level to ensure confounding has not influenced the study's results. Then interpret your response.
Diet Low in Processed Foods
Normal Cholesterol
High Cholesterol
Total
Non-smoker
124
55
179
Smoker
69
152
221
Total
193
207
400
Diet High in Processed Foods
Normal Cholesterol
High Cholesterol
Total
Non-smoker
64
85
149
Smoker
98
153
251
Total
162
238
400
A) The chi square value of 37.724 is higher than the chi square value of 3.84, therefore we can accept H0 at the 5% level and reject H1, which states that smoking status and the amount of processed foods in an individual's diet are not independent of one another.
B) The chi square value of 37.724 is higher than the chi square value of 3.84, therefore we can accept H0 at the 5% level and reject H1, which states that smoking status and the incidence of high cholesterol are not independent of one another
C) The chi square value of 37.724 is higher than the chi square value of 3.84, therefore we can reject H0 at the 5% level in favor of H1, which states that smoking status and the incidence of high cholesterol are not independent of one another.
D) The chi square value of 37.724 is higher than the chi square value of 3.84, therefore we can reject H0 at the 5% level in favor of H1, which states that smoking status and the amount of processed foods in an individual's diet are not independent of one another.