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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 H0 is 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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