Suppose a survey asked 833 randomly sampled registered voters in California "Do you support? Or do you oppose? Drilling for oil and natural gas off the Coast of California? Or do you not know enough to say?" Below is the
graduated from college.
College Grad
Yes
No
Support
155
133
Oppose
181
127
Do not know
105
132
Total
441 392
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. (Use a significance level of 0.05.)
State the null and alijernative hypothesis.
$H_0$: support = Koppose #do not know
$H_A$: at least two of the group means, support Hoppose do not know are not equal
$H_0$: support Hoppose * do not know
$H_A$: at least two of the group means, support Hoppose do not know are equal
$H_0$: The opinion of college grads and non-grads is not different on the topic of drilling for oil and natural gas off the coast of California.
$H_A$: The opinion of college grads and non-grads is different on the topic of drilling for oil and natural gas off the coast of California.
$H_0$: The opinion of college grads and non-grads is different on the topic of drilling for oil and natural gas off the coast of California.
$H_A$: The opinion of college grads and non-grads is not different on the topic of drilling for oil and natural gas off the coast of California.
Check the relevant conditions.
Both samples are
greater than 5.
random, unrelated, and the samples represent less than
Calculate the test statistic. (Round your answer to two decimal places.)
Determine the p-value. (Round your answer to three decimal places.)
p-value =
Interpret the p-value in context of the hypothesis test.
10% of their populations, so independence is
satisfied. The expected counts condition is
Reject $H_0$. The data do not provide convincing evidence that there is some difference in the opinions for drilling for oil and natural gas off the Coast of California based on whether or not the respondent graduated from college.
Fail to reject $H_0$. The data provide convincing evidence that there is some difference in the opinions for drilling for oil and natural gas off the Coast of California based on whether or not the respondent graduated from college.
Reject $H_0$. The data provide convincing evidence that there is some difference in the opinions for drilling for oil and natural gas off the Coast of California based on whether or not the respondent graduated from college.
Fail to reject $H_0$. The data do not provide convincing evidence that there is some difference in the opinions for drilling for oil and natural gas off the Coast of California based on whether or not the respondent graduated from college
You may need to use the appropriate technology to answer this question.