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accept the null hypothesis since sample evidence

Which of the following statements are correct? Explain if incorrect.

a. “I accept the null hypothesis since sample evidence is not inconsistent with the null hypothesis.”

b. “Since sample evidence cannot be supported by the null hypothesis, I reject the null hypothesis.”

c. “I can establish a given claim if sample evidence is consistent with the null hypothesis.”

d. “I cannot establish a given claim if the null hypothesis is not rejected.”

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