A survey asked 605 randomly chosen non-smokers and 195 randomly chosen smokers, “Should a federal tax on cigarettes be raised to pay for health care reform?” Out of the non-smoker group, 182 said yes; while in the smoker group, 51 said yes. Does this survey support that more non-smokers would say yes, proportionally, than smokers? a. If p1 represents the proportion of all non-smokers who would say yes to the question and p2 represents the proportion of all smokers who would say yes to the question, what are the researchers’ null and alternative hypotheses in symbols? H0: Ha: b. Find the P-value for this test statistic and write your decision for the test based upon a= .05 level of significance. P-value: _______________ c. The researcher would like to see how far apart, proportionally, the viewpoints of non-smokers and smokers are. Find a 90% confidence interval for p1-p2 =. Interval:
A survey asked 605 randomly chosen non-smokers and 195 randomly chosen smokers, “Should a federal tax on cigarettes be raised to pay for health care reform?” Out of the non-smoker group, 182 said yes; while in the smoker group, 51 said yes. Does this survey support that more non-smokers would say yes, proportionally, than smokers?
a. If p1 represents the proportion of all non-smokers who would say yes to the question and p2 represents the proportion of all smokers who would say yes to the question, what are the researchers’ null and alternative hypotheses in symbols?
H0:
Ha:
b. Find the P-value for this test statistic and write your decision for the test based upon a= .05 level of significance.
P-value: _______________
c. The researcher would like to see how far apart, proportionally, the viewpoints of non-smokers and smokers are. Find a 90% confidence interval for p1-p2 =.
Interval:
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