Historically, about 52% of the population o a certain country believed that the

Question

Historically, about 52% of the population o a certain country believed that the planet's temperature was n ng global warming ). A March 2010 po 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. (Round to one decimal place as needed.) beemine tre iest shatstc uisng the value for p from part a (Round to two decimal places as needed.) ound to three decimal places as needed.) Do you reject or not reject the null hypothesis? Reject Ho Do not reject Ho c. Choose the correct interpretation. O A In 2010, the percentage of the population who believe global warming is real has not changed from the historical eve of 52 In 2010, the percentage of the population who believe global warming is real is significantly different fro m 52% B. Click to select your answers). Determine the z-test statistic, using the value for p from part a z = (Round to two decimal places as needed.)

Explanation / Answer

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p, population proportion = .52

n = 1076

The sample proportion = x/n = 602/1076 = .56

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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