Question

Child Health and Development Studies (CHDS) has been collecting data about expectant mothers in Oakland, CA since 1959. One of the measurements taken by CHDS is the age of first time expectant mothers. Suppose that CHDS finds the average age for a first time mother is 26 years old. Suppose also that, in 2015, a random sample of 50 expectant mothers have mean age of 26.5 years old, with a standard deviation of 1.9 years. At the 5% significance level, we conduct a one-sided T-test to see if the mean age in 2015 is significantly greater than 26 years old. Statistical software tells us that the p-value = 0.034.
Which of the following is the most appropriate conclusion?

A.) There is a 3.4% chance that a random sample of 50 expectant mothers will have a mean age of 26.5 years old or greater if the mean age for a first time mother is 26 years old.

B.) There is a 3.4% chance that mean age for all expectant mothers is 26 years old in 2015.

C.) There is a 3.4% chance that mean age for all expectant mothers is 26.5 years old in 2015.

D.) There is 3.4% chance that the population of expectant mothers will have a mean age of 26.5 years old or greater in 2015 if the mean age for all expectant mothers was 26 years old in 1959.

Answer 1

Answer:

A.) There is a 3.4% chance that a random sample of 50 expectant mothers will have a mean age of 26.5 years old or greater if the mean age for a first time mother is 26 years old.

Step-by-step explanation:

The mean age for a first time mother is assumed 26 years old (null hypothesis) and p-value of the sample mean (26.5 years ) is found as 0.034.

This is the probability of having first time mother mean age 26.5 or greater under the assumption of null hypothesis.