n a 2016 survey of 957 registered voters, 321 people believe that the threats from climate change are overstated. In a 2018 survey of 962 registered voters, 371 of those surveyed also shared this view. Perform a hypothesis test to test the claim that the proportion of registered voters who believe that the threats from climate change are overstated has increased. Assume that the samples are random and independent. Use α=0.05. Let the sample from 2016 correspond to sample 1 and the other to sample 2. (a) H0:p1=p2; Ha:p1
n a 2016 survey of 957 registered voters, 321 people believe that the threats from climate change are overstated. In a 2018 survey of 962 registered voters, 371 of those surveyed also shared this view. Perform a hypothesis test to test the claim that the proportion of registered voters who believe that the threats from climate change are overstated has increased. Assume that the samples are random and independent. Use α=0.05. Let the sample from 2016 correspond to sample 1 and the other to sample 2.
(a) H0:p1=p2; Ha:p1<p2, which is a left-tailed test.
(b) Use a TI-83, TI-83 Plus, or TI-84 calculator to test if the proportions are different. Identify the test statistic, z, and p-value from the calculator output. Round the test statistic to two decimal places and the p-value to three decimal places.
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