SOLUTION: 1) For a specific survey, the Gallup Poll reported that 45% of individuals felt they were worse off than 1 year ago. A politician feels that this is too high for her district so sh

Question 194566This question is from textbook
: 1) For a specific survey, the Gallup Poll reported that 45% of individuals felt they were worse off than 1 year ago. A politician feels that this is too high for her district so she commissions her own survey and finds that, out of 150 randomly selected citizens, 58 feel they are worse off today than 1 year ago, is the politician correct about her district?
I'm using the calculator for z-test of proportion
po:.45
x=58
n=150
but plase help me choose between ≠po, po im not sure which one im supposed to use and how to determinate if i reject Ho or not. Thanks! This question is from textbook

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
For a specific survey, the Gallup Poll reported that 45% of individuals felt they were worse off than 1 year ago. A politician feels that this is too high for her district so she commissions her own survey and finds that, out of 150 randomly selected citizens, 58 feel they are worse off today than 1 year ago, is the politician correct about her district?
I'm using the calculator for z-test of proportion
po:.45
x=58
n=150
but plase help me choose between ≠po, po im not sure which one im supposed to use and how to determinate if i reject Ho or not. Thanks!
---------------
The key words in the narrative are "feels that this is too high".
That leads you to using p < 0.45 as the altenate hypothesis and
performing a left-tail test.
---
So You have:
Ho: p = 0.45
H1: p < 0.45
p-hat is 58/150
The z-test for proportions gives you:
test statistic: z = -1.5592
p-value = 0.0595
-----------
Since the p-value is greater than 5%, fail to reject Ho.
=====================
Cheers,
Stan H.
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