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11 January, 08:10

If you are testing hypotheses and your p-value gives you a rejection of the null hypothesis for a 5% significance level, then all other things being equal you would also get a rejection of the null hypothesis for a 10% significance level. Select one:

a. True

b. False

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Answers (1)
  1. 11 January, 09:55
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    a) True

    Step-by-step explanation:

    Given that you are testing hypotheses and your p-value gives you a rejection of the null hypothesis for a 5% significance level

    If all other things are kept equal, then at 10% significance level, what will be done we have to find out.

    From the information given, we find that p value was <0.05 since then only null hypothesis would be rejected.

    If other things remain the same, the p value would not vary.

    So same value has to be necessarily < 0.10 also if <0.05

    That is at 10% significance level also, we would get a rejection of null hypothesis.

    In other words, if alpha is increased the rejection of null hypothesis would not change.

    Hence a) True
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