Question

Question Four

For each of the following statements, circle T if you believe that the statement is true and F if you believe that the statement is false

1. T          F          The larger the sample that is taken, the probability of making a type 2 error

increases.

2. T          F          We can never conclude that H₀ is true based on taking a random sample from

from the population.

3. T          F            A stratified random sample is more preferred over a simple random sample

when the population can be divided into homogeneous groups.

Answer 1

a) The larger the sample that is taken, the probability of making a type 2 errors increases

Answer - False

Because The larger the sample that is taken the probability of making a type 2 errors decrease

b) The can never conclude that H₀ is true based on taking a random sample from from the population

Answer - False

we cannot state with 100% certainty that
the statement is true; we can only determine whether the sample data support the statement
or not.

c) True

A stratified random sample is more preferred over a simple random sample when the population can be divided into homogeneous groups.