# Develop the null hypothesis and the alternative hypothesis.

See attached file.

State the statistical assumptions for this test.

Using the data set you have selected, choose two continuous variables for which you would like to test a relationship.

Develop the null hypothesis and the alternative hypothesis.

Use SPSS to calculate a correlation coefficient and a simple linear regression. You can decide which should be the independent (predictor) variable and which should be the dependent (criterion) variable.

Decide whether to reject or retain the null hypothesis.

Generate a scatterplot to visually assess the relationship between two variables.

Generate syntax and output files in SPSS. You will need to copy and paste these nto your Application document.

https://brainmass.com/statistics/hypothesis-testing/null-hypothesis-alternative-hypothesis-418354

#### Solution Preview

Please find the solution of your posting.

State the statistical assumptions for this test.

There are no such assumptions if we want to describe the relationship or strength of relationship between two variables using correlation coefficient. However some general assumptions are given below for testing the correlation coefficient using t test or F test:

1. The data should be approximates the normal normally distribution for both the variables.

2. The joint distribution for both the variables (say X and Y) should be bivariate normal.

3. The variance for conditional distribution of X|Y (X given Y) as well as Y|X (Y given X) should be constant.

4. The relationship between these two variable should be linear because correlation does not take into consider any non-linear relationship.

Using the data set you have selected, choose two continuous variables for which you would like to test a relationship.

Variables chosen for the test a relationship:

HRS1 -> NUMBER OF HOURS WORKED LAST WEEK

AGE -> AGE OF RESPONDENT

Develop the null hypothesis and the alternative hypothesis.

Null Hypothesis (Ho): There is no statistically significant linear relationship between Age of respondent and number of hours of worked last week or there is no significant correlation between Age of respondent and number of hours of worked last ...

#### Solution Summary

The expert develops the null hypothesis and the alternatives hypothesis. SPSS is used to calculate the correlation coefficient and a simple linear regression.