Jamie C.
asked • 03/05/21A researcher is interested in the level of hypochondria as measured by a subscale of the Minnesota Multiphasic Personality Inventory. He draws a simple random sample and obtains the following 95% confidence interval for the population mean of hypochondria (14.7;22.5). He uses this confidence interval to test Ho: mean=15 against the two-sided alternative HA: mean unequal 15 at a significance level alpha = 0.05. Which of the following statements is correct and why?
1) The probability of a type I error is 0
2) The probability of a type I error is 0.05
3) the probability of a type I error is equal to the observed p-value
John M. answered • 03/05/21
Statistics Master's with 17 years of Teaching Experience
The probability of a Type 1 error is the same as the significance level α. In this case, it's 0.05.
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Geoffrey B.
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Jamie C.
That's exactly what I answered but my professor said it was wrong and option a) would be the right answer, which I didn't understand. If you have any idea why this could be I'd be really thankful03/05/21