Question 936653: A poll of 1,068 adult Americans reveals that 52% of the voters surveyed prefer the Democratic candidate for the presidency. At the 0.05 significance level, test the claim that more than half of all voters prefer the Democrat.
I have no idea how to solve this can someone please help with the steps?
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A poll of 1,068 adult Americans reveals that 52% of the voters surveyed prefer the Democratic candidate for the presidency. At the 0.05 significance level, test the claim that more than half of all voters prefer the Democrat.
-----
Ho: p <= 0.5
Ha: p > 0.5 (claim)
----
p-hat = 0.52
test stat:: z(0.52) = (0.52-0.50)/sqrt[0.5*0.5/1068] = 0.02/0.015 = 1.3
----
Critical value for right-tail test with alpha = 5% = 1.645
-----
Conclusion:: Since the test stat is not in the reject interval (z>=1.645),
fail to reject Ho.
The test results do not support the claim.
-------------
Cheers,
Stan H.
----------------
Answer by ewatrrr(24785)  (Show Source):
You can put this solution on YOUR website! Ho: p = 0.50
Ha: p > .50 (claim)
....
A poll of 1,068 adult Americans, p = .52
.....
test stat:: z(.52) = .02/sqrt[0.5*0.5/1068] = 1.3072
.......
p-value = P(z > 2.6144) = .10
.10 > .05,
Ho accepted
test results do not support the claim.
|
|
|
