Question

You want to know if there is a statistically significant difference between father’s age and miscarriage.
You collect data at the Totally Made Up Hospital and find the following:

Miscarriage	N	Mean Paternal Age	Standard Deviation
No	162	33.4	2.8
Yes	48	41.1	3.1

a. What is your null hypothesis?
b. What is your research hypothesis?
c. What test would you run to test your hypothesis?
d. Compute the test at the 5% level of significance.
e. State whether you accept or reject the null hypothesis

Answer 1

here let x1 and x2 are two variable for no miscarriage and miscarriage parental age

a)

null hypothesis:

μ1-μ2

=

0

b)

research Hypothesis:

μ1-μ2

≠

0

c)

we will use 2 independent sample t test for mean difference

d)

e)

as test statistic is in critical region we reject the null hypothesis

we have sufficient evidence at 0.05 level to conclude that there is a statistically significant difference between father’s age and miscarriage.