The city council is considering a law that would ban smoking in all public facilities. A sample has been selected from the community and tested for support of the ordinance. Is there a statistically significant relationship between age and support for the anti-smoking law? Use the five step model as a guide and write a sentence or two interpreting your results. Age
Less than 40 More than 40
SUPPORT For 145 78 223
Against 103 169 272
Total 248 247 495

Reject Null Hypothesis given that  P-value < ∝

Step-by-step explanation:

Applying the Five ( 5 ) step model and assuming ∝ = 0.05

First step : determine the Null hypothesis

H0 : Age and support for Anti-smoking = independent

Second step : Determine the alternate hypothesis

Ha : Age and support for Anti-smoking ≠ independent

Thirdly : Identify significance level ( ∝ ) = 0.05

4th step : Calculate the Test statistic and P-value

Chi-squared test = 36.1429 using excel function

P-value =  1 - CHISQ.DIST(36.1429, 1, TRUE)  < 0.0001

finally : we can conclude that Age and support for Anti -smoking are not Independent hence we Reject The Null hypothesis. Given that

P-value < ∝

3

step-by-step explanation: