Question

1. When completing a hypothesis test you are comparing the two population means. How do you write the null hypothesis?
2. Explain how to determine, in detail, which distribution to use. Assume both distributions are normal or both n's are at least 30.
3. When completing a hypothesis test you are comparing the two population proportions. How do you write the null hypothesis?
4. In order to complete hypothesis test for two population proportions, what requirements need to be met?

Answer 1

A)

Ho :   µ1 =   µ2

.

B)

WHEN both distributions are normal or both n's are at least 30.

WE WILL USE Z TEST IF WE KNOW THE POPULATION STD DEV OF BTH POPULATIONS

OTHERWISE

we will use t-distribution when we do not know the populaton std dev

.........

c)

Ho:   p1 = p2

.......

d)

normality assumption reasonable

sample size,n < 5% of population size,N
np>5 and n(1-p)>5
npq>10
..................

Please let me know in case of any doubt.

Thanks in advance!

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