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# Heart Attacks and Smoking

Note: Assume the condition of Normality is met for problem below.

A study is made of men over the age of 50. Each man is classified as to whether or not he has had a heart attack and the amount that he smokes at the present time. The following results were obtained for a sample of 300 men.

Heart Attack
Amount smoked Yes No
None 50 150
Moderate 45 30
Heavy 15 10

At .05 significance level, is there a difference in the distribution of heart attacks based on the amount smoked?

#### Solution Preview

Note: Assume the condition of Normality is met for problem below. I also want to know the following elements: (Please do not use the Student t test or Chi-square test.) Two-tailed test

? Hypothesis statement H0: having a heart attack is independent of the amount smoked; H1: having a heart attack is not independent of the amount smoked

? Critical value X2 = 5.99

? Test statistic X2 = 35.167

? Conclusion We can reject the null hypothesis at the 0.05 level.

1. A study is made of men over the age of 50. Each man is classified as to whether or not he has had a heart attack and the amount that he smokes at the present time. The following results were obtained for a sample of 300 men.

Heart Attack
Amount smoked Yes No
None 50 150
Moderate 45 30
Heavy 15 10

At .05 significance level, is there a difference in the distribution of heart attacks based on the amount smoked?

H0: No ...

#### Solution Summary

The solution uses a chi-squared test to answer the question. A complete, step-by-step explanation of how to do the hypothesis test is provided. The hypothesis statement, critical value, test statistic, and conclusion are all stated explicitly.

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