Since the confidence interval contains the mean value in the null hypothesis (15) we would not reject the null hypothesis, so the possibility of falsely rejecting the null hypothesis is zero.
Jamie C.
asked • 03/06/21PROBABILITY TYPE I ERROR
A researcher is interested in the level of depression. He draws a simple random sample and obtains the following 95% confidence interval for the population mean of depression (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
I CHOOSE B, BUT MY TEACHER SAID A IS RIGHT, I'D BE THANKFUL FOR AN EXPLANATION
More
1 Expert Answer
Still looking for help? Get the right answer, fast.
Ask a question for free
Get a free answer to a quick problem.
Most questions answered within 4 hours.
OR
Find an Online Tutor Now
Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.
Jamie C.
I thought that this might be the reason, but isn't it like this, that we are only 95% sure, that the CI includes the mean ? so that there would be a 5% chance of us being wrong ?03/07/21