SOLUTION: A presidential candidate's aide estimates that, among all college students, the proportion p who intend to vote in the upcoming election is at least 60% . If 127 out of a random sa

Question 435016: A presidential candidate's aide estimates that, among all college students, the proportion p who intend to vote in the upcoming election is at least 60% . If 127 out of a random sample of 240 college students expressed an intent to vote, can we reject the aide's estimate at the 0.1 level of significance?
Perform a one -tailed test.
Thank you!!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A presidential candidate's aide estimates that, among all college students, the proportion p who intend to vote in the upcoming election is at least 60% . If 127 out of a random sample of 240 college students expressed an intent to vote, can we reject the aide's estimate at the 0.1 level of significance?
Perform a one -tailed test.
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Ho: p >= 0.60
Ha: p < 0.60
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p-hat = 127/240 = 0.5292
---
z(0.5292) = (0.5292-0.6)/sqrt[0.6*0.4/240] = -0.7083
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p-value = P(z<-0.7083) = 0.24
----
Since the p-value is greater than 1%, fail to reject Ho.
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Cheers,
Stan H.
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