State conclusion to significance test in terms of the null hypothesis According
ID: 3127835 • Letter: S
Question
State conclusion to 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 a 0.10 significance level.
H0: p = 0.53. Ha: p 0.53.
= 0.10
Test statistic: z = -1.60. P-Value = 0.1090
State your conclusion about H0.
Draw a new sample.
Do not reject H0
Reject H0
Reject Ha
Do not reject Ha
Draw a new sample.
Do not reject H0
Reject H0
Reject Ha
Do not reject Ha
Explanation / Answer
As alpha = 0.10, P = 0.1090, then P > 0.10.
Hence, as P > 0.10,
OPTION B: Do not reject H0 [ANSWER]
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Note: We only reject Ho if P < alpha. Otherwise, we do not reject it.
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