https://file.aiquickdraw.com/mathbot/file/1729934539769yqfnzyzg.csv

A random sample of 116 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 Research question 1: we are interested in studying the association between the employment status and the sex of guessers in the population under consideration. Report the 𝑝
-value [use at least 3dp]:

The dataset includes 116 entries with variables like `SubID`, `sex`, `years`, `percentage`, and `employment`, along with several unnamed columns and a partially filled contingency table. 

To answer the research question regarding the association between employment status and the sex of guessers, we can conduct a chi-square test of independence on the `sex` and `employment` variables. I'll extract the contingency table and proceed with the analysis.The p-value for the chi-square test of independence between employment status and the sex of guessers is approximately 0.264 (3 decimal places). This p-value suggests that there is no statistically significant association between employment status and the sex of the guesser at conventional significance levels (e.g., 0.05).

Would you like to go into details about this test or discuss further? 

Here are five additional related questions for exploration:

1. How would a larger sample size impact the power of this test?
2. What other statistical tests could verify the relationship between employment and communication performance?
3. How does years in a relationship affect guessing accuracy in non-verbal communication?
4. Could adding more employment categories influence the results?
5. How might differences in guessing performance by sex vary across other regions?

**Tip:** For categorical data associations, chi-square tests are commonly used to assess independence.

A random sample of 116 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

Research question 1: we are interested in studying the association between the employment status and the sex of guessers in the population under consideration. Report the 𝑝-value [use at least 3dp]:

Analyze the association between employment status and sex among participants in a study of non-verbal communication. The dataset includes 116 couples, with variables such as relationship length, guess accuracy percentage, and employment status. This page explains the Chi-square test used to determine independence between employment and gender, reporting the resulting p-value at 0.264.

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