State True (T) or False (F) for the following statements: (a) Probability of typ

Question

State True (T) or False (F) for the following statements:

(a) Probability of type I error cannot be reduced by appropriate selection of the critical values.

(b) Probability of making type II error increases rapidly as the true value of µ approaches the hypothesized value

(c) An increase in the probability of one type of error always results in a decrease in the probability of the other, provided the sample size does not change.

(d) An increase in sample size, with critical values held constant, generally results in increased and .

(e) We always think the rejection of alternative hypothesis as a strong conclusion

Explanation / Answer

Answers with detailed reasons:

a. False - By adjusting the critical line to a higher value, the Type I error is reduced

b. True

c.True. Its a trade off between errors

d.False. An increase in sample size reduces , provided that is held constant

Lower alpha requires larger sample size, it' oppsite in nature to that beta' relation with sample size

e. False. We always think the rejection of null hypothesis as a strong conclusion

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