The statement "In testing of hypothesis, ‘best critical region maximizes the power of the test’" is true.

Here's why:

1. In hypothesis testing, the critical region is the set of all values of the test statistic that cause us to reject the null hypothesis.

2. The power of a statistical test is the probability that the test will reject the null hypothesis when the alternative hypothesis is true. In other words, it's the ability of the test to detect an effect if there is one.

3. The 'best' critical region is the one that maximizes this power. This means that it's the region that gives us the highest probability of correctly rejecting the null hypothesis when the alternative hypothesis is true.

4. Therefore, by choosing the best critical region, we are maximizing our chances of making the correct decision based on our data. This is why the statement is true.

Question

The statement "In testing of hypothesis, ‘best critical region maximizes the power of the test’" is true.

Here's why:

1. In hypothesis testing, the critical region is the set of all values of the test statistic that cause us to reject the null hypothesis.

2. The power of a statistical test is the probability that the test will reject the null hypothesis when the alternative hypothesis is true. In other words, it's the ability of the test to detect an effect if there is one.

3. The 'best' critical region is the one that maximizes this power. This means that it's the region that gives us the highest probability of correctly rejecting the null hypothesis when the alternative hypothesis is true.

4. Therefore, by choosing the best critical region, we are maximizing our chances of making the correct decision based on our data. This is why the statement is true.

Knowee AI · Accepted Answer

The statement "In testing of hypothesis, ‘best critical region maximizes the power of the test’" is true.

Here's why:

1. In hypothesis testing, the critical region is the set of all values of the test statistic that cause us to reject the null hypothesis.

2. The power of a statistical test is the probability that the test will reject the null hypothesis when the alternative hypothesis is true. In other words, it's the ability of the test to detect an effect if there is one.

3. The 'best' critical region is the one that maximizes this power. This means that it's the region that gives us the highest probability of correctly rejecting the null hypothesis when the alternative hypothesis is true.

4. Therefore, by choosing the best critical region, we are maximizing our chances of making the correct decision based on our data. This is why the statement is true.

In testing of hypothesis, ‘best critical region maximizes the power of the test’ this statement isans.

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