Question Help Historically, about 52% of the population of a certain country bel

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Question Help Historically, about 52% of the population of a certain country believed that the planet's temperature was rising global warming ). A March 2010 poll wanted to determine whether this proportion had changed. The poll interviewed 1076 adults in the population, and 602 said they believed that global warming was real. (Assume these 1076 adults represented a simple random sample.) Complete parts a through c below. a. What percentage in the sample believed global warming was real in 2010? p-55.9)% (Round to one decimal place as needed.) Is this more or less than the historical 52%? O less more b. Test the hypothesis that the proportion of the population who believe global warming is real has changed. Use a significance level of 0.05. What are the null and alternative hypotheses? A. Ho : p= 0.52 Ha p>0.52 B. H0 : p > 0.52 Ha p

Explanation / Answer

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a.

The sample proportion = x/n = 602/1076 = .559

It is more than historical

b. Option E is correct hypothesis as we are testing for a change from the historical average proportion:

p, population proportion = .52

Ho: p = .52

Ha: p!=.52

n = 1076

The Z statistic = (p-p')/sqrt( p *p'/n) = (.56-.52)/sqrt(.52*.48/1076) = 2.63

The p-value corresponding to 2.63 is .00432

Since it is less than .05 we have to reject null hypothesis

c. In 2010, the percentage of the population who believe global warning is real is significantly from 52%

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