7. Suppose we are testing Ho : ??-Ma = 2.1 against Ha : ??-42?2.1, where ?1 and

Question

7. Suppose we are testing Ho : ??-Ma = 2.1 against Ha : ??-42?2.1, where ?1 and ?2 are respective means of two normally distributed populations. After taking a sample from each population, we have computed the observed test statistic Wobs2.3 and the corresponding p-value = P( W > Wol Ho is true) = 0.011. Circle one correct conclusion that can be made using the above information. (c) We reject Ho : ??-?2-21 with confi- 0.01 (a) We accept lla : ,1,-1.9 with confidence level 0.05. dence level a (b) We reject Ho : ?,-?2-2.1 with confi- (d) We accept Ho : ??-?2-2.1 with confi- dence level a 0.05 dence level a 0.05

Explanation / Answer

right choice is (b)

we reject the null hypothesis if p-value(=0.011) is less than alpha (=0.05)

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