Doctor Frederick believes the population mean weight of adult male patients in his practice is exactly 170lb. He tests this claim by selecting a random sample of 12 adult male patients and records...

Doctor Frederick believes the population mean weight of adult male patients in his practice is exactly 170lb. He tests this claim by selecting a random sample of 12 adult male patients and records their weights. Doctor Frederick assumes that the weights of his adult male patients are normally distributed. The sample mean is 174.67lb with a sample standard deviation of 15.76lb. The test statistic t for a hypothesis test of H0:μ=170 versus Ha:μ≠170 is t≈1.03. If p-value>0.20and the level of significance is α=0.10, which of the following statements are accurate for this hypothesis test to evaluate the claim that the true population mean weight of adult male patients in Doctor Frederick's practice is not equal to 170lb?

Select all that apply:

A) Reject the null hypothesis that the true population mean weight of adult male patients in Doctor Frederick's practice is equal to 170lb.

B) Fail to reject the null hypothesis that the true population mean weight of adult male patients in Doctor Frederick's practice is equal to 170lb.

C) There is enough evidence at the α=0.10 level of significance to support the claim that the true population mean weight of adult male patients in Doctor Frederick's practice is not equal to 170lb.

D) There is not enough evidence at the α=0.10 level of significance to suggest that the true population mean weight of adult male patients in Doctor Frederick's practice is not equal to 170lb