SOLUTION: In a recent poll, it was found that 43% of registered U.S. voters would vote for the incumbent president. If 100 registered voters were sampled randomly, it was found that 35% woul

Algebra.Com
Question 325019: In a recent poll, it was found that 43% of registered U.S. voters would vote for the incumbent president. If 100 registered voters were sampled randomly, it was found that 35% would vote of the incumbent. Test the claim that the actual proportion is 43%. Let level of significance = 0.01. (Round phat to 2 decimal places.)


1. H0 :
Ha :
2. Level of significance =
3. Test statistics:
4. P-value or critical z0 or t0.
5. Rejection Region:
6. Decision:
7. Interpretation:

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
In a recent poll, it was found that 43% of registered U.S. voters would vote for the incumbent president.
If 100 registered voters were sampled randomly, it was found that 35% would vote of the incumbent.
Test the claim that the actual proportion is 43%. Let level of significance = 0.01. (Round phat to 2 decimal places.)

1.
H0 : p = 0.43
Ha : p is not 0.43
----------------------------------
2. Level of significance = 1%
-----
3. Test statistics: z(0.35) = (0.35-0.43)/sqrt(0.43*0.57/100) = -16.16
---
4. P-value or critical z0 or t0.
p-value = 2*P(z< -16.16) = zero to 4 decimal places
--------
5. Rejection Region: z< -2.5758 and z> 2.5758
--------------------------------
6. Decision: Reject Ho.
Test results do not support claim that p = 0.43.
======================
Cheers,
Stan H.
7. Interpretation:

RELATED QUESTIONS

I am really struggling with this question & have to expres why it does or does not... (answered by stanbon)
I have a problem in my statistics home work. I ask this question before but I missed a... (answered by stanbon)
I have a question about my statistics homework, can someone please help me. Thank you. (answered by stanbon)
Not sure on how to complete the following. I think I did the first one right.... (answered by stanbon)
I am having a lot of difficulties answering these questions if anyone could please help... (answered by stanbon)
I started most of the work but I am not sure if I am doing it right. Please help.... (answered by stanbon)
The city of Raleigh has 10400 registered voters. There are two candidates for city... (answered by ikleyn)
State your decision to the significance test in terms of the null hypothesis.... (answered by math_tutor2020)
The city of Raleigh has 10400 registered voters. There are two candidates for city... (answered by Boreal)