It has been reported that 60% of the American public believe that global warming is occurring and

Question:

It has been reported that 60% of the American public believe that global warming is occurring and that it is largely caused by human activity. You take a random sample of 200 high school students in your local area and find that 136 of the students in the sample share this belief about global warming.
a. Use the normal sampling of the sample proportion to test a null hypothesis that, in the population of local high school students, the proportion of students who believe that global warming is caused by human activity is no more than .60. Use a significance level of .05. Report your conclusion along with the pvalue for the sample result.
b. Suppose the sample size had been 20 rather than 200 and that in the sample you found that 15 students in that sample believe that global warming is caused by human activity. Repeat the test in part a, using this reduced sample size. Use the binomial to conduct the test. Report the pvalue for the sample result. Distribution
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