SOLUTION: A political strategist believes that at least 58% of voters in a certain state support his candidate. He then commissions a poll of 500 voters and 60% of them support his candidat
Algebra.Com
Question 741969: A political strategist believes that at least 58% of voters in a certain state support his candidate. He then commissions a poll of 500 voters and 60% of them support his candidate. At α = .05, test the claim.
a) State the hypotheses and identify the claim
b) Find the critical values
c) Compute the test values
d) Make the decision
e) Summarize the results
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A political strategist believes that at least 58% of voters in a certain state support his candidate. He then commissions a poll of 500 voters and 60% of them support his candidate. At α = .05, test the claim.
a) State the hypotheses and identify the claim
Ho: p >= 0.58 (clsim)
Ha: p < 0.58
------------------------
b) Find the critical values
z = -1.645
---------------------------------------
c) Compute the test values
z(0.6) = (0.6-0.58)/sqrt(0.58*0.42/500) = 0.9061
---------
d) Make the decision
Since the test statistic is not in the reject interval,
fail to reject Ho.
----------------------
e) Summarize the results
The test results do not support the claim at the 5% significance level.
==================================
Cheers,
Stan H.
==================================
RELATED QUESTIONS
I can't seem to get this at all and would appreciate some help
A political strategist... (answered by stanbon)
A political strategist claims that 56% of voters in Madison County support his candidate. (answered by CPhill)
A political strategist claims that 55% of voters in Madison County support his candidate. (answered by stanbon)
A political strategist claims that 56% of voters in Madison County support his candidate. (answered by math_tutor2020)
A political strategist claims that 56% of voters in Madison County support his candidate. (answered by Boreal)
Poll result show that 53% of voters in a district support a certain candidate for public... (answered by Alan3354)
The mayor of a town has proposed a plan for the annexation of a new community. A... (answered by proyaop)
A political candidate estimates that 30% of the votes in his party favor his proposed tax (answered by stanbon)
A candidate for governor of a certain state claims to be favored by at least half of the... (answered by stanbon)