Question

n wther or not they believe fracking should be outlawed in New York State. The data is summarized in the table below S. A random sample of New Yorkers is taken, Anud each person is asked their party afiliation no association letween party affiliation and beliefs about fracking Find what the expected value for each cell should be. Round your answers to two decimal places. (a) Suppose there is ao between (b) Can и" conclude there actually is an association? Use c., O05 nnd list the chi-squared value, p-value, and conclusion. 10

Answer 1

(a)
Observed Frequencies:

	Ban fracking	Don't ban	Total
Democrat	75	25	100
Republican	35	25	60
Others	15	10	25
Total	125	60	185

Expected Frequencies:

	Ban fracking	Don't ban	Total
Democrat	125X100/185=67.57	32.43	100
Republican	40.54	19.46	60
Others	16.89	8.11	25
Total	125	60	185

(b0
Test statistic $\chi ^{2}$is calculated as follows:

Observed (O)	Expected (E)	(O - E)2/E
75	67.57	0.82
25	32.43	1.70
35	40.54	0.76
25	19.46	1.58
15	16.89	0.21
10	8.11	0.44
Total = $\chi ^{2}$=		5.51

ndf =(r - 1) X (c - 1)

    = (3 - 1) X (2 -1)

= 2

By Technology,P - Value = 0.0636

Since P - Value= 0.0636 is greater than $\alpha$ = 0.05,the difference is not significant. Fail to reject null hypothesis.

Conclusion:

The data support that claim that there actually is an association between party affiliation and beliefs about fracking.