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ki77a [65]
3 years ago
7

An experimenter conducted a two-tailed hypothesis test on a set of data and obtained a p-value of 0.44. If the experimenter had

conducted a one-tailed test on the same set of data, which of the following is true about the possible p-value(s) that the experimenter could have obtained? A) The only possible p-value is 0.44. B) The only possible p-value is 0.88. C) The possible p-values are 0.22 and 0.78. D) The possible p-values are 0.22 and 0.88.
Mathematics
1 answer:
Lyrx [107]3 years ago
3 0

Answer:

Correct option is (C).

The possible value of the <em>p</em>-value for a one-tailed test are 0.22 and 0.78.

Step-by-step explanation:

The <em>p</em>-value is the probability of acquiring a result as extreme as the observed result, assuming the null hypothesis statement is true.

The <em>p</em> value of a test is:

Left-tailed test: P(TS

Right-tailed test: P(TS>ts) = 1- P(TS.

Here,

TS = Test statistic

ts = computed value of the test statistic.

The two-tailed <em>p</em>-value is: 2P(TS or 2P(TS>ts).

The <em>p</em>-value of the two tailed test is, 0.44.

Compute the <em>p</em>-value for one-tailed test a follows:

  • For a left-tailed test:

            2P(TS

  • For a right-tailed test:

            P(TS>ts) = 1- P(TS

Thus, the possible value of the <em>p</em>-value for a one-tailed test are 0.22 and 0.78.

The correct option is (C).

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