State your decision to the significance test in terms of the null hypothesis. According to a...
State your decision to the significance test in terms of
the null hypothesis.
According to a recent poll, the percentage of Americans who would
vote for the incumbent president is 53%. If a random sample of 100
people in New York results in 45% who would vote for the incumbent,
test the claim that the percentage of people in New York who would
vote for the incumbent president is different from 53%. Use the
following results and a 0.10 significance level to state your
decision about H0.
H0 : p=0.53
H1 : p≠0.53
Test statistic: z = -1.60 p-value = 0.1090
Question 7 options:
|
Do not reject H1 |
|
|
Reject H0 |
|
|
Reject H1 |
|
|
There is not enough information. |
|
|
Do not reject H0 |
Homework Answers
The answer is:
We compare the p-value with the level of significance:
- If p-value > alpha we fail to reject the null hypothesis
- If p-value < alpha we reject the null hypothesis
Here we have p-value = 0.1090 > 0.10. Therefore we will fail to reject H0.
Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!
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