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Q: If a researcher fails to reject the null hypothesis and the null hypothesis is not true has the researcher made a correct decision a Type I error or Type II error?
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What does the researcher hope to do with the null hypothesis?

be able to reject


If the null hypothesis is true and the researchers do not reject it then a correct decision has been made?

True because the point of the hypothesis test is to figure out the probability of the null hypothesis being true or false. If it is tested and it is true, then you do not reject but you reject it, when it is false.


What does the researcher hope to do with null hypothesis the opposite of the research hypothesis?

Be able to reject the null hypothesis and accept the research hypothesis


What does the researcher hope to do with the null hypothesis (the opposite of the research hypothesis)?

Be able to reject the null hypothesis and accept the research hypothesis


What does the researcher hope to do with the null hypothesis (the opposite of the research hypothesis)?

Be able to reject the null hypothesis and accept the research hypothesis


How do scientists decide whether or not to reject or accept a hypothesis?

if the hypothesis is proven to be correct or incorrect


If the decision in the hypothesis test of the population correlation coefficient is to reject the null hypothesis. What can you conclude about the correlation in the population?

is notzero


In a hypothesis testing the alternative hypothesis is assumed?

No. The null hypothesis is assumed to be correct unless there is sufficient evidence from the sample and the given criteria (significance level) to reject it.


When you reject the Null Hypothesis that means that the Null Hypothesis cannot be correct?

No. Rejecting the Null Hypothesis means that there is a high degree of probability that it is not correct. This degree of probability is the critical level that you choose for the test statistic. However, there is still a small probability that the null hypothesis was correct.


When a researcher fails to reject Null Hypothesis when Null Hypothesis is false he has?

made a Type II error.made a Type II error.made a Type II error.made a Type II error.


Is the null hypothesis considered correct until proven otherwise?

No. The null hypothesis is not considered correct. It is an assumption, and hypothesis testing is a consistent meand of determining whether the data is sufficiently strong to say that it may be untrue. The data either supports the alternative hypothesis or it fails to reject it. See examples in links. Also note this quote from Wikipedia: "Statistical hypothesis testing is used to make a decision about whether the data contradicts the null hypothesis: this is called significance testing. A null hypothesis is never proven by such methods, as the absence of evidence against the null hypothesis does not establish it."


Is the critical region the values of the test statistics for which the null hypothesis will reject?

The null hypothesis will not reject - it is a hypothesis and is not capable of rejecting anything. The critical region consists of the values of the test statistic where YOU will reject the null hypothesis in favour of the expressed alternative hypothesis.