Question

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

f) T F We can never conclude that H0 is true based on taking a random sample from from the population.

g) 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

e) F The larger the sample that is taken, the probability of making a type 2 error decreases.

Explanation - With large samples, the standard error decreases and a small deviation from hypothesized value, will decrease the probability of not rejecting the null hypothesis (type 2 error).

f) T We can never conclude that H0 is true based on taking a random sample from from the population.

Explanation - We only conclude from the test whether the H0 is false (rejected) or not. If we fail to reject H0, that means we do not have sufficient evidence to conclude that H0 is false. It does not let us to conclude that H0 is true.

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

With stratified random sample, the sample will have same representations from all homogeneous groups and will be a good representative of the whole population.