Please help! A random sample fo PA residents was asked how much teh recent increase in gasoline prices?

has impacted teh amount they drive their vechicles. A summary of the data is conveyed in the following table:





Impact on # of miles driven/week


Urban/suburban some impact (12) no impact (39)


rural some impace (21) no impact (28)








a. state teh appropriate hypotheses that test whether these categorical variables are related.








b. what is the value of your test statistic? What distribution does it follow under teh null hypothesis?








c. What is the p-value assocaited with your test statistic in part b?








d. using level of significance = 0.5, what do you conclude?

Please help! A random sample fo PA residents was asked how much teh recent increase in gasoline prices?
A) Test Hypothesis:


Ho: Increase in gas prices impacts Urban %26amp; Rural citizens equally.


Ha: Increase in gas prices impacts Urban %26amp; Rural citizens differently





B) Test Statistic


Since this is a 2x2 contingency table with categorical data, the test statistic follows a chi-square distribution. The test statistic for this problem is 4.222.





C) P-value


The p-value for a chi-square value of 4.222 (with 1 degree of freedom) is .0399





D) Conclusion


Since p-value %26lt; .05, we reject the null hypothesis in favor of the alternative. That is, there is evidence that the increase in gas prices impacts Rural citizens differently than it impacts Urban citizens.

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