Question

For the following pairs of assertions, indicate which do not comply with our rules for setting up hypotheses and why (the subscripts 1 and 2 differentiate between quantities for two different populations or samples):
a. H0: m = 100, Ha: m > 100
b. H0: s = 20, Ha: s 20
c. H0: p -:: .25, Ha: p = .25
d. H0: m1 - m2 = 25, Ha: m1 - m2 > 100
e. H0: S2 = S2, H : S2 -:: S2

Answer 1

Answer:

Options B, C, D & E do not comply with the rules for setting up hypotheses

Step-by-step explanation:

(A). H0: m = 100, Ha: m > 100.

These hypotheses fully complies with our rules.

B). H0: s = 20, Ha: s 20.

H0 is not an equality claim such as σ = 20. Hence, these hypotheses are not in compliance with our rules.

(C). H0: p -:: .25, Ha: p = .25

H0 should definitely contain the equality claim, although Ha contains it here. Thus, these are not legitimate and don't comply with our rules

(D)H0: m1 - m2 = 25, Ha: m1 - m2 > 100

The given value of 25 for m1 - m2 in H0 should also appear in Ha,but it does not do so here, so it doesn't comply with our rules.

E)H0: S2 = S2, H : S2 -:: S2

Each S2 is a statistic and so it does not belong in a hypothesis.