A Null Hypothesis Is Stated

A null hypothesis is stated. The null hypothesis is, "There is no difference between 10 mcg and 20 mcg of vitamin D3, in prevention of osteoporosis." What are the implications of this statement, concerning the null hypothesis and Type I error?

A) Rejecting the null hypothesis when it actually is false means that the researcher has made a Type I error in concluding that there is a difference between 10 and 20 mcg of vitamin D3 in preventing osteoporosis.
B) Making the statement is itself a Type I error.
C) Whether the null hypothesis is true or not makes no difference, in terms of Type I error.
D) Whether or not the researcher rejects the null hypothesis makes no difference, in terms of Type I error.
E) Rejecting the null hypothesis when it actually is false means that the researcher concludes that there is a difference between 10 and 20 mcg of vitamin D3 in preventing osteoporosis, and there is no error.
F) Rejecting the null hypothesis when it actually is true means that there is no difference between 10 and 20 mcg of vitamin D3 in preventing osteoporosis, but the researcher thinks there is, and has made a Type I error.

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