How is the rejection region defined, and how is that related to the p value? When...

How is the rejection region defined, and how is that related to the p value? When do you reject or fail to reject the null hypothesis as related to the p value?

Solutions

Expert Solution

Answer:

The rejection region is a range of values that when satisfied by the test statistic, the null hypothesis will be rejected. That is also the range of values that when satisfied by the test statistic, gives out P values that are less than the significance level. Again, when the P value is less than the significance level, we reject the null hypothesis.

If the test statistic is not in the rejection region, or consequently, the P value is greater than the significance level, we fail to reject the null hypothesis.

Statisticians are asked to do hypothesis testing because it is important to know if some events simply happened by chance or are there enough basis that it really happened for some reason.

For example, if we want to test if a new drug is effective, we would like to know whether or not the improvement in the health of the patients is really due to the drug, and not simply due to other factors or chance, or maybe just a psychological effect.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

How is the rejection region defined, and how is that related to the p value? When...

How is the rejection region defined, and how is that related to the p value? When do you reject or fail to reject the null hypothesis? Why do you think statisticians are asked to complete hypothesis testing? Can you think of examples in courts, in medicine, or in your area?

How is the rejection region defined, and how is that related to the p value? When...

For the following cases, you may use either the P-value approach or the rejection region approach...

For the following cases, you may use either the P-value approach or the rejection region approach to present a full hypothesis test, including: Identifying the claim and H0 and Ha, Finding the appropriate standardized test statistic, Finding the P-value or the rejection region, Deciding whether to reject or fail to reject the null hypothesis, and Interpreting the decision in the context of the original claim. A scientist claims that pneumonia causes weight loss in mice. The table below shows weight, in...

For the following cases, you may use either the P-value approach or the rejection region approach...

For the following cases, you may use either the P-value approach or the rejection region approach to present a full hypothesis test, including: Identifying the claim and H0 and Ha, Finding the appropriate standardized test statistic, Finding the P-value or the rejection region, Deciding whether to reject or fail to reject the null hypothesis, and Interpreting the decision in the context of the original claim. A guidance counselor claims that high school students in a college preparatory program score higher...

For all hypothesis tests, use both the critical value/rejection region and p-value (separate and label each...

For all hypothesis tests, use both the critical value/rejection region and p-value (separate and label each method) and show each of the 5 steps explicitly. A. The internal revenue service believes that the number of business executives who default on their tasks is larger than the proportion of 'blue collar' workers. Out of 150 business executives, 24 default on their taxes. For a sample of 75 'blue collar' workers has only 8 that default on their taxes. Test the hypothesis...

Conduct each hypothesis test below using both the critical value/rejection region and p-value methods (separate and...

Conduct each hypothesis test below using both the critical value/rejection region and p-value methods (separate and label each method) and showing each of the 5 steps explicitly. Do not round any table values. Round test statistics to the nearest hundredth, critical values to 3 decimal places, and p-values to 4 decimal values. Many computer buyers have discovered that they can save a considerable amount by purchasing a personal computer from a mail-order company - an average of $900 by their...

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...

Question

How is the rejection region defined, and how is that related to the p value? When...

Solutions

Expert Solution

Related Solutions

How is the rejection region defined, and how is that related to the p value? When...

How is the rejection region defined, and how is that related to the p value? When...

For the following cases, you may use either the P-value approach or the rejection region approach...

For the following cases, you may use either the P-value approach or the rejection region approach...

For all hypothesis tests, use both the critical value/rejection region and p-value (separate and label each...

Conduct each hypothesis test below using both the critical value/rejection region and p-value methods (separate and...

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

What is the rejection rule using the p-value approach to Hypothesis Testing? What is the rejection...

Determine the effect of expanding the rejection region on a hypothesis test. A)Decreases the value of...

Provide an appropriate response. Find the critical value and rejection region for the type of t-test...