Question

Question 11 (1 point)

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A USA Today article claims that the proportion of people who believe global warming is a serious issue is 0.52, but given the number of people you've talked to about this same issue, you believe it is less than 0.52. The hypotheses for this test are Null Hypothesis: p ≥ 0.52, Alternative Hypothesis: p < 0.52. If you randomly sample 29 people and 17 of them believe that global warming is a serious issue, what is your test statistic and p-value?

Question 11 options:

	1) Test Statistic: 0.714, P-Value: 0.238
	2) Test Statistic: -0.714, P-Value: 0.238
	3) Test Statistic: 0.714, P-Value: 1.524
	4) Test Statistic: -0.714, P-Value: 0.762
	5) Test Statistic: 0.714, P-Value: 0.762

Answer 1

Proportion (p0) = 0.52
Total number of sample (n) = 29
number of favourable events (X) = 17

We are interested in testing the hypothesis


Since P-value of a two tailed test is equal to

P = (0.7622627212182715)
P = 0.762
Here, the P-value is greater than the level of significance 0.05; Fail to reject the null hypothesis
Since, the test is two-tail test at

Decision Rule: Reject the null hypothesis if the test statistic value is less than the critical value -1.645 or greater than the critical value 1.645
The statistic value, 0.7136 is greater than the critical values -1.645 . Therefore, we fail to reject the null hypothesis.

5)	Test Statistic: 0.714, P-Value: 0.762