Question

A USA Today article claims that the proportion of people who believe global warming is a serious issue is 0.77, but given the number of people you've talked to about this same issue, you believe it is different from 0.77. The hypotheses for this test are Null Hypothesis: p = 0.77, Alternative Hypothesis: p ≠ 0.77. You take a random sample and perform a hypothesis test, getting a p-value of 0.0382. What is the appropriate conclusion? Conclude at the 5% level of significance.

Question 15 options:

	1) The proportion of people who believe global warming is a serious issue is significantly less than 0.77.
	2) The proportion of people who believe global warming is a serious issue is significantly different from 0.77.
	3) The proportion of people who believe global warming is a serious issue is equal to 0.77.
	4) The proportion of people who believe global warming is a serious issue is significantly larger than 0.77.
	5) We did not find enough evidence to say a significant difference exists between the proportion of people who believe global warming is a serious issue and 0.77

Answer 1

Solution :

P-value = 0.0382

P-value < 0.05

Reject the null hypothesis .

Conclusion at the 5% level of significance is :

The proportion of people who believe global warming is a serious issue is significantly

different from 0.77.

2)