Compute the χ2χ2 test statistic.
The table below summarizes a data set that examines the responses of a random sample of college graduates and non-graduates on the topic of oil drilling. Complete a chi-square test for these data to check whether there is a statistically significant difference in responses from college graduates and non-graduates. That is,
H0:H0: The opinion of college grads and nongrads is not different on the topic of drilling for oil and natural gas off the coast of California.
HA:HA: Opinions regarding the drilling for oil and natural gas off the coast of California has an association with earning a college degree. Compute the expected counts. If necessary, round to the nearest tenth.
College graduates | Non-graduates | Total | |
Support | 154 | 132 | 286 |
Oppose | 180 | 126 | 306 |
Do not know | 104 | 131 | 235 |
Total | 438 | 389 | 827 |
College graduates | Non-graduates | Total | |
Support | 286 | ||
Oppose | 306 | ||
Do not know | 235 | ||
Total | 438 | 389 | 827 |
b) Compute the χ2χ2 test statistic. Round to the nearest hundredth.
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