Question

No data required. Enter in the inferential test that should be run to answer the research question: Z-Test, One-Sample t-Test, Independent t-Test, Paired t-Test, or ANOVA (NOTE: not all tests may be used in this assignment. Read the questions carefully.).

Write your Null and Alternative Hypothesis as a full sentence.

1. Is there a difference in the ages of people based on the amount of time they work per week?

Inferential Test:

Null Hypothesis (H0):

Alternative Hypothesis (H1):

Should the Null Hypothesis be accepted or Rejected?:

Write your conclusions including information on the Test of Homogeneity, if necessary, and the proper notation in parentheses:

2. What does test proportion mean? Is that Z test?

Answer 1

Q1. The test used to test the claim that is there a difference in the ages of people based on the amount of time they work per week is ANOVA test.

Null Hypothesis(H0): There is no significant difference in the ages of people based on the mean amount of time they work per week.

Alternative Hypothesis(H1): There is a significant difference in the ages of people based on the mean amount of time they work per week. That is the mean amount of time they work per week is different for at least one age group.

We reject the null hypothesis when:

or Pvalue is less than the given value of alpha.

To perform the ANOVA test the assumption of Homogeneity of variance is necessary.

Q2. The test of proportion is the type of data in which we are testing whether the population satisfied certain characteristics.

The hypothesis test for proportion determines whether the proportion of observed sample satisfy the given population proportion for certain characteristics.

Lets considers an example, we want to test the claim that the proportion of students in US who says that Statistics is an useful subject for determining their career is 30%. A random sample of 500 student is taken and find that 235 student say that Statistics is an useful subject for determining their career. So we can used the test of proportion.

The test used for testing the proportion is Z test.