h 2017 Gallup Survey of 1,018 randomly selected US adults from all 50 states and

Question

h 2017 Gallup Survey of 1,018 randomly selected US adults from all 50 states and the p Survey). Test at the 0.05 3. (21 points) A Marc District of Columbia found that 68% of ih activities. Historically, this percentage was 55% ftased on significance level that the proportion is ose surveyed-believe climate change is caused by human greater than it was in March 2015. a.) What are the null and alternative hypotheses? (4 pts) Ho p 55 b.) What is the critical value for this test? (3 pts) 6 c) Calculate the test statistic. (6 pts) up ,ol d.) What is the p-value? (3 pts) ,3 e) What is your conclusion? Explain using the traditional and p-value methods. Interpret your results. (5 pts) Page 8 of 8

Explanation / Answer

a) and b) is correct

c)

z = (p' - p) / sqrt(p(1-p)/n)

z = (0.68 - 0.55)/ sqrt(0.55*0.45/1018)

z = 8.33

d)

p-value => P(z>8.33) = 0

e)

Thus, proportion is greater than it was in March 2015

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