Question at position 14 A Type I error is committed when _________________.the validity of a claim was rejecteda true null hypothesis is rejectedthe critical value is greater than the value of the test statistica true alternative hypothesis is not acceptedClear my selection

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Here is the question restated for clarity: Question at position 14 A Type I error is committed when _________________. the validity of a claim was rejected a true null hypothesis is rejected the critical value is greater than the value of the test statistic a true alternative hypothesis is not accepted

Option 1: the validity of a claim was rejected. This option sounds like a general description of rejecting a hypothesis or claim, but a Type I error is specifically about the relationship to the null hypothesis, not the broader claim validity itself. It’s too vague and not tied to the formal decision rule about the null.

Option 2: a true null hypothesis is rejected. This is the classic definition of a Type I error in hypothesis testing: incorrectly concluding that there is an effect or difference when in fact the null hypothesis is true. It corresponds to a false positive: you reject H0 when H0 is true.

Option 3: the critical value is greater than the value of the test statistic. This statement describes a situation related to the mechanics of a test statistic and decision rule, but it is not by itself a description of a Type I error. It could occur in many scenarios, including correct decisions, depending on the p-value or critical region, so it does not define a Type I error.

Option 4: a true alternative hypothesis is not accepted. This describes failing to detect an actual effect or difference when the alternative is true, which is a Type II error (false negative), not a Type I error.

In summary, the only option that accurately captures the core idea of a Type I error is the one stating that a true null hypothesis is rejected, because it reflects an incorrect rejection of the correct null conclusion, leading to a false positive conclusion in hypothesis testing.

Question at position 14 A Type I error is committed when _________________.the validity of a claim was rejecteda true null hypothesis is rejectedthe critical value is greater than the value of the test statistica true alternative hypothesis is not acceptedClear my selection单项选择题

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