Question

Consider an ANOVA procedure to compare five population means. In this case, the total number of pairs to be considered in multiple comparisons is ten. If the probability that the null hypothesis is falsely rejected at least once in all six pairs needs to be 0.05, the probability that the null hypothesis is falsely rejected in each pair should be:________. (Give your answer to 4 decimal places.)

Answer 1

Answer:

The right response is "0.0085". A further explanation is given below.

Step-by-step explanation:

Let,

P (across each pair, this same null hypothesis would be wrongly rejected) be "a".

Therefore,

⇒ $P=1-P(no \ time \ rejected)$

⇒ $1-(1-a)^6 =0.05$

⇒ $1-a=0.95^{(\frac{1}{6} )}$

⇒ $a=1-0.95^{(\frac{1}{6} )}$

⇒ $0.0085$