1. We are testing Ho: p=0.5 versus Ha: p <0.5 at the 5% level of significance. I
ID: 3397361 • Letter: 1
Question
1. We are testing Ho: p=0.5 versus Ha: p <0.5 at the 5% level of significance. If the p-value is 0.229, then what is the correct decision?
Reject Ho or Do not reject Ho
2. Refer to problem 1. If the p-value were 0.0001, then what is the correct decision?
Reject Ho or do not reject
3. We are testing Ho: p1=p2 versus Ha: p1>p2 and the p-value is 0.0789 and alpha is 0.1, what is the correct decision?
Reject Ho or Do not reject Ho
4. Refer to problem 3. If the alpha is 0.01, then what is the correct decision?
Reject Ho or Do not reject Ho
Explanation / Answer
We reject Ho only if P < alpha.
1.
As P = 0.229 > 0.05, then we DO NOT REJECT HO. [ANSWER]
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2.
As P = 0.0001 < 0.05, we REJECT HO.
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3.
As P = 0.0789 < 0.1, we REJECT HO.
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4.
As P = 0.0789 > 0.01, we DO NOT REJECT HO.
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