SOLUTION: It has been determined that 37 out of 100 adult Americans that did not attend college believe in extra-terrestrials. However, from a random sample of 100 adult Americans that did n

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Question 1106958: It has been determined that 37 out of 100 adult Americans that did not attend college believe in extra-terrestrials. However, from a random sample of 100 adult Americans that did not attend college 43 claim that they believe in extra-terrestrials. Does this indicate that the proportion of people who did not attend college and who believe in extra-terrestrials has changed? Conduct a hypothesis test with a = 0.01 and interpret the results
Answer by stanbon(75887) (Show Source):
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It has been determined that 37 out of 100 adult Americans that did not attend college believe in extra-terrestrials. However, from a random sample of 100 adult Americans that did not attend college 43 claim that they believe in extra-terrestrials. Does this indicate that the proportion of people who did not attend college and who believe in extra-terrestrials has changed? Conduct a hypothesis test with a = 0.01 and interpret the results
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Ho: p = 0.37
Ha: p # 0.37
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Sample proportion = p-hat = 0.43
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Test statistic:: z(0.43) = (0.43-0.37)/sqrt[0.37*0.63/100] = 1.243
p-value = 2*P(z > 1.243) = 2*normalcdf(1.243,100) = 0.214 = 21.4%
Since the p-value is greater than 1% fail to reject Ho.
Conclusion: The test results support the claim that p = 0.37
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Cheers,
Stan H.
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