An experiment designed to study the relationship between hypertension and cigarette smoking yielded the following data.

Efan Halliday

Efan Halliday

Answered question

2021-03-02

An experiment designed to study the relationship between hypertension and cigarette smoking yielded the following data.
Tension levelNonsmokerModerate smokerHeavy smokerHypertension203828No hypertension502718
Test the hypothesis that whether or not an individual has hypertension is independent of how much that person smokes.

Answer & Explanation

Asma Vang

Asma Vang

Skilled2021-03-03Added 93 answers

Under the null hypothesis of the independence of hypertension and smoking status, we have the following expected table (rounding off the expected frequencies)
Tension levelNonsmokerModerate smokerHeavy smokerHypertension333122No hypertension373424
This gives the value of T to be 16.486, which, under the null, follows an asymptotic chi-squared distribution, with 2 degrees of freedom. This yields a p value of 0.00026, and hence we reject the null hypothesis.

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