Question: A researcher tests the null hypothesis H 0 : =80. The sample mean is 85, and the test is statistically significant at =0.05. The following

A researcher tests the null hypothesis H₀: =80. The sample mean is 85, and the test is statistically significant at =0.05. The following probability statements are incorrect. Identify what is wrong with each and provide the correct probability statement for this result

a) The probability is 0.095 that H₀is true.

b) The probability that the population mean is 80 if the sample mean is 85, is less than 0.05.

c) The probability is 0.05 that a false hypothesis has been rejected.

d) The probability is 0.05 that a Type II error has been made.

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