The Yale Climate change opinion poll asked people in all 50 states whether they thought global warming is caused mostly by human activities. In California, 55% said yes. Nevada is considered a more Republican than Nevada and Republicans are skeptical about climate change. So, what would you expect for the percent in Nevada thinking global warming is caused mostly by human activities?
a) state the null and alternative hypothesis in mathematical and everyday language
b) in a sample of 500 nevada citizens, 255 thought human activities are the chief cause of global warming. Find the p-value
c) what is a p-value and what does it tell us
(a) Since Nevada citizens are more skeptical, The Hypothesis is
H0: p = 0.55
Ha: p < 0.55
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(b) = 255 / 500 = 0.51
The Test Statistic:
The p value (Left tail) at Z = -1.8 is 0.0359
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(c) The p value is a probability. It gives us the possibility of getting a tests statistic as extreme or greater than that obtained, assuming the null hypothesis is true.
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