SOLUTION: A statistician claims that less than 25% of the adults in the US want the government to clean up the environment. You want to test the claim. You find that in a sample of 200 adult

Question 860416: A statistician claims that less than 25% of the adults in the US want the government to clean up the environment. You want to test the claim. You find that in a sample of 200 adults, 60 say they want the gov. to clean up. At alfa=0.10, do you have enough evidence to reject the claim?

1. State null and alternative hypothesis
2. Calculate z
3. Compare P to alfa, or identify the rejection region
4. State results in term H0 and Ha
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A statistician claims that less than 25% of the adults in the US want the government to clean up the environment. You want to test the claim. You find that in a sample of 200 adults, 60 say they want the gov. to clean up. At alfa=0.10, do you have enough evidence to reject the claim?
1. State null and alternative hypothesis
Ho: p >= 0.25
Ha: p < 0.25(claim)
-------------------------------
p-hat = 60/200 = 0.3
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z(0.3) = (0.3-0.25)/sqrt[0.25*0.75/200] = 1.6330
---------------
P-value = P(z < 1.6330) = 0.9487
----
Since the p-value is greater than 10%, fail to reject Ho.
The test results do not support the claim.
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Cheers,
Stan H.
====================
2. Calculate z
3. Compare P to alfa, or identify the rejection region
4. State results in term H0 and Ha

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