Write True or False beside each statement. If the statement is False, correct the statement. (a). A hypothesis test was conducted and the p-value was less than the significance level. It is known that the alternative hypothesis is true. This suggests that a type Il error occurred. (b). A random sample of size n = 10 is drawn from a population with mean u and standard deviation o. Then the sample average X has an approximately normal distribution with mean u and standard deviation o/Vn by the central limit theorem. (c). For any two events A and B, P(A N B) = P(A)P(B|A).

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Write True or False beside each statement. If the statement is False, correct the statement.
(a). A hypothesis test was conducted and the p-value was less than the significance level. It is known that
the alternative hypothesis is true. This suggests that a type Il error occurred.
(b). A random sample of size n = 10 is drawn from a population with mean u and
standard deviation o. Then the sample average X has an approximately normal
distribution with mean u and standard deviation o/Vn by the central limit theorem.
(c). For any two events A and B, P(AN B) = P(A)P(B|A).
(d). The relative frequency for each class in a frequency distribution is a sample proportion.
(e). Inferential statistics are used to draw a conclusion about a population.
(f). In an equally likely outcome experiment, the probability of any event A is the number of outcomes in A.
(g). In a two-sample paired t test, the before and after sample sizes must be the same.
Transcribed Image Text:Write True or False beside each statement. If the statement is False, correct the statement. (a). A hypothesis test was conducted and the p-value was less than the significance level. It is known that the alternative hypothesis is true. This suggests that a type Il error occurred. (b). A random sample of size n = 10 is drawn from a population with mean u and standard deviation o. Then the sample average X has an approximately normal distribution with mean u and standard deviation o/Vn by the central limit theorem. (c). For any two events A and B, P(AN B) = P(A)P(B|A). (d). The relative frequency for each class in a frequency distribution is a sample proportion. (e). Inferential statistics are used to draw a conclusion about a population. (f). In an equally likely outcome experiment, the probability of any event A is the number of outcomes in A. (g). In a two-sample paired t test, the before and after sample sizes must be the same.
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