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Relative Frequency of Smoking

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A sample of individuals is selected, and the individuals are classified according to their smoking habits and the smoking habits of their parents. The results are given in the contingency table below.

Parents' smoking habits

Both parents smoke Only one parent smokes Neither parent smokes

Individual's
smoking habits
Smokes 24 30 32
Does not smoke 19 23 24

Among all the individuals in the sample, what is the relative frequency of individuals who smoke and have two parents who smoke?
Round your answer to at least two decimals places.

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Solution Summary

This solution uses the equation to calculate relative frequency of individuals who smoke and have two parents who smoke. All steps are shown with brief justifications.

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A sample of 152 individuals is selected, and the individuals are classified according to their smoking habits and the smoking habits of their parents. The results are given in the contingency table below.

Parents' smoking habits

Both parents smoke Only one parent smokes Neither parent smokes

Individual's
smoking habits
Smokes 24 ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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