1 We are testing Ho p05 versus Ha p p2 and the pvalue is 007

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

Solution

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.