Question

# A USA Today article claims that the proportion of people who believe global warming is a...

A USA Today article claims that the proportion of people who believe global warming is a serious issue is 0.5, but given the number of people you've talked to about this same issue, you believe it is greater than 0.5. The hypotheses for this test are Null Hypothesis: p ≤ 0.5, Alternative Hypothesis: p > 0.5. You take a random sample and perform a hypothesis test, getting a p-value of 0.3256. What is the appropriate conclusion? Conclude at the 5% level of significance.

Question 6 options:

 1) 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 0.5
 2) The proportion of people who believe global warming is a serious issue is significantly larger than 0.5.
 3) We did not find enough evidence to say the proportion of people who believe global warming is a serious issue is less than 0.5.
 4) We did not find enough evidence to say the proportion of people who believe global warming is a serious issue is larger than 0.5.
 5) The proportion of people who believe global warming is a serious issue is less than or equal to 0.5.

Ans : We did not find enough evidence to say the proportion of people who believe global warming is a serious issue is larger than 0.5.

(since the P-value =0.3256 > 0.05, we fail to reject H0)