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In hypothesis testing, a Type 1 error occurs whenQuestion 9Answera.The null hypothesis is rejected when the alternative hypothesis is trueb.The null hypothesis is not rejected when the null hypothesis is truec.The null hypothesis is not rejected when the alternative hypothesis is trued.The null hypothesis is rejected when the null hypothesis is true

Question

In hypothesis testing, a Type 1 error occurs whenQuestion 9Answera.The null hypothesis is rejected when the alternative hypothesis is trueb.The null hypothesis is not rejected when the null hypothesis is truec.The null hypothesis is not rejected when the alternative hypothesis is trued.The null hypothesis is rejected when the null hypothesis is true

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Solution

The correct answer is d. The null hypothesis is rejected when the null hypothesis is true. This is what is known as a Type 1 error in hypothesis testing. It occurs when we observe a rare event (in the statistical sense) and as a result, wrongly reject the null hypothesis, even though it is true.

Similar Questions

In hypothesis testing, a Type 2 error occurs whenQuestion 12Answera.The null hypothesis is rejected when the null hypothesis is true.b.The null hypothesis is not rejected when the null hypothesis is true.c.The null hypothesis is rejected when the alternative hypothesis is true.d.The null hypothesis is not rejected when the alternative hypothesis is true.

Which one of the following statements about the Type I error of hypothesis testing is wrong? a. It is closely related to the significance level of the test. b. It means that we may fail to reject the null hypothesis H0 when H1 is true. c. It means that we may reject the null hypothesis H0 when H0 is actually true. d. Researchers can control the probability of Type I error.

Which of the following statements is true regarding the significance level in hypothesis testing?a.It is the probability of a Type 1 errorb.It is the probability of a Type 2 errorc.It is the probability of correctly accepting the null hypothesisd.It is the probability of correctly rejecting the null hypothesisClear my choice

According to Type I error, the null hypothesis is false but we fail to reject it. Is it true or false?

Hypothesis testing is based ona) minimizing the type I error b) minimizing the type II errorc) minimizing the sum of type I and type II errorsd) none of these

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