A) A test statistic value of 2.14 puts it in the rejection region. If the test...

A) A test statistic value of 2.14 puts it in the rejection region. If the test statistic is actually 2.19 then we know the p-value is less than the significance level for the test. True or false? Explain. B) The null hypotheses is false. The p-value is less than the significance level. Do we have a type 1 error, a Type 2 error, or a correct decision. Give an explanation. C) For a right tailed test a test statistic of 2.11 has a larger p-value then a test statistic of 1.96. True or False? Give explanation D) for a two tailed test if 2.36 is in the rejection region and the test statistic is -3.11, and the null hypotheses is true, do we have a correct decision? Give explanation for you answer.

A) A test statistic value of 2.14 puts it in the rejection region. If the test statistic is actually 2.19 then we know the p-value is less than the significance level for the test. True or false? Explain.

B) The null hypotheses is false. The p-value is less than the significance level. Do we have a type 1 error, a Type 2 error, or a correct decision. Give an explanation.

C) For a right tailed test a test statistic of 2.11 has a larger p-value then a test statistic of 1.96. True or False? Give explanation

D) for a two tailed test if 2.36 is in the rejection region and the test statistic is -3.11, and the null hypotheses is true, do we have a correct decision? Give explanation for you answer.

Expert Solution

A) Given statement, "A test statistic value of 2.14 puts it in the rejection region. If the test statistic is actually 2.19 then we know the p-value is less than the significance level for the test." is True

Because, if test statistic = 2.14 puts it in the rejection region, so the p-value is less than the significance level. And new test statistic = 2.19 > 2.14 therefore, this test statistic is also lies in rejection region hence the p-value is less than the significance level.

B) The null hypothesis is false. The p-value is less than the significance level. So we have a correct decision here.

C) Given statement, "For a right tailed test a test statistic of 2.11 has a larger p-value then a test statistic of 1.96." is False

Because, test statistic of 2.11 has a lower p-value than a test statistic of 1.96 (since, 2.11 > 1.96).

D) In this case test statistic of -3.11 is lies in rejection region so we should reject the null hypothesis. And in fact the null hypothesis is true then we have done Type I error here.

This is not a correct decision.

orchestra answered 2 years ago

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