MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A random sample of 120 married or de facto couples in the Sydney region has been selected to study non-verbal communication. An experiment was conducted requiring the subject to guess words shown to the partner, without any verbal communication. Some of the variables recorded for each couple are listed below.
| Variable | Description | |
|---|---|---|
| subid | Subject ID | |
| sex | sex of guesser | |
| years | the length of the relationship (in years) | |
| percentage | the percentage of correct guesses | |
| employment | employment status |
Part 1
Research question: We wish to investigate whether employment status in the Sydney region is distributed according to the table below.
employment status | Casual | Full-time | Part-time | Unemployed Percentage | 30 | 50 | 10 | 10
Please complete the following table calculating the values of A, B and C.
| Casual | Full-time | Part-time | Unemployed | Total Observed Count | A=*** | 26 | 31 | 29 | 120 Expected Count | 36 | B=*** | 12 | 12 | 120 chi squared | 0.111 | 19.267 | 30.083 | C=*** | 73.544
| A [integer]: | Answer |
| B [use at least 3dp]: | Answer |
A chi-squared goodness-of-fit test is run to answer the research question.
Consider the output of the test below, and answer the questions:
Chi-squared test for given probabilities data: table(var4) X-squared = 73.544, df = 3, p-value = 7.431e-16
| What is the null hypothesis? Choose one among the following options: | |
| a. employment status in the Sydney region is not distributed according to the given table of probabilities | |
| b. employment status in the Sydney region is distributed according to the given table of probabilities | |
| c. employment status is associated with sex of guesser | |
| d. employment status and sex of guesser are independent | |
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