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In a hypothesis test, the test statistic was calculated to be 2.76. The rejection region is...

In a hypothesis test, the test statistic was calculated to be 2.76. The rejection region is -2.33 < z < 2.33. Which statement is true?

The null hypothesis is accepted to be true

The null hypothesis is rejected since the test statistic is outside the rejection region.

The null hypothesis is not rejected since the test statistic is outside the rejection region.

The null hypothesis is rejected since the test statistic proves it to be false
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Answer #1

Given that, In a hypothesis test, the test statistic was calculated to be 2.76. That means z = 2.76

The rejection region is -2.33 < z < 2.33.

Decision rule for two-tailed tes:

Reject the null hypothesis if, test statistic is outside the rejection region.

In above case test statistic = 2.76 is outside the rejection region of, -2.33 < z < 2.33

Therefore we reject the null hypothesis.

Answer: The null hypothesis is rejected since the test statistic is outside the rejection region.

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