Question

1. What is the purpose of a goodness-of-fit test?

a.) To assess whether there is a significant difference between a collection of categorical data

b.) To find relationships in the data

c.) To assess whether several categorical variables are related

d.) To assesses whether the central tendency, variability and distribution of sample is different from that of the population

2. Suppose you are testing the following hypothesis pair: ?0: ? ≤ 100 vs. ?1: ? > 100. A sample average of less than 100 would sometimes lead to a _______ error but would never lead to a _______ error.

a.) Type I; Type II

b.) Type II; Type I

c.) Type II; p-value

d.) p-value; Type II

Answer 1

Q.1

Answer: d.) To assesses whether the central tendency, variability and distribution of sample is different from that of the population.

Q.2

Answer: b.) Type II; Type I

(Given hypothesis, ?0: ? ≤ 100 vs. ?1: ? > 100

Accept Ho, if sample average less than 100

Type II error= Accept Ho when H1 is true  

A sample average of less than 100 would sometimes lead to a Type II error but would never lead to a Type I error )