You set up a two-sided hypothesis test for a population mean u with a null hypothesis of Ho : µ = 100. You chose a significance level of a = 0.05. The p-value calculated from the data is 0.12, and hence you failed to reject the null hypothesis. Suppose that after your analysis was completed and published, an expert informed you that the true value of u is 104. How would you describe the result of your analysis? You did not make a Type 1 or Type 2 error. A Type 1 error was made because you failed to reject the null hypothesis but u is really not equal to 100. O A Type 2 error was made because you failed to reject the null hypothesis but µ is really not equal to 100.

MATLAB: An Introduction with Applications
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Which of the following is the correct definition of the p-value?
P(observed sample statistic | Ho true)
O P(Ho true | HA false)
P(observed or more extreme sample statistic | Ho true)
O P(Ho true | observed sample statistic)
Transcribed Image Text:Which of the following is the correct definition of the p-value? P(observed sample statistic | Ho true) O P(Ho true | HA false) P(observed or more extreme sample statistic | Ho true) O P(Ho true | observed sample statistic)
You set up a two-sided hypothesis test for a population mean u
with a null hypothesis of Ho : µ = 100. You chose a significance
level of a = 0.05. The p-value calculated from the data is
0.12, and hence you failed to reject the null hypothesis. Suppose that
after your analysis was completed and published, an expert informed you
that the true value of u is 104. How would you describe the result
of your analysis?
You did not make a Type 1 or Type 2 error.
O A Type 1 error was made because you failed to reject the null hypothesis but u is really not equal to 100.
A Type 2 error was made because you failed to reject the null hypothesis but uµ is really not equal to 100.
Transcribed Image Text:You set up a two-sided hypothesis test for a population mean u with a null hypothesis of Ho : µ = 100. You chose a significance level of a = 0.05. The p-value calculated from the data is 0.12, and hence you failed to reject the null hypothesis. Suppose that after your analysis was completed and published, an expert informed you that the true value of u is 104. How would you describe the result of your analysis? You did not make a Type 1 or Type 2 error. O A Type 1 error was made because you failed to reject the null hypothesis but u is really not equal to 100. A Type 2 error was made because you failed to reject the null hypothesis but uµ is really not equal to 100.
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