1. The contingency table shown below relates happiness and gender for the 2000 General Social Survey. Gender Female Male Not too happy 163 130 Pretty happy 898 705 Very happy 502 379 Total 1563 1214 (a) Identify the response variable and the explanatory variable. C The response variable is gender and the explanatory variable is happiness. C The response variable is happiness and the explanatory variable is gender. (b) Fill in the blanks in the table below with the conditional distributions. Use 1 decimal place. Gender Not too happy Pretty happy Very happy Total Female 100% % % % Male 100% % % % (c) Fill in the blanks in the table below with numbers that would make happiness and gender independent. Gender Female Not too happy 10% Pretty happy 60% Very happy 30% Total 100% Male % % 100% % 2.
Added by Keith V.
Close
Step 1
The explanatory variable is the variable that might influence the response variable, which is gender. Therefore, the correct answer is: The response variable is happiness and the explanatory variable is gender. Show more…
Show all steps
Your feedback will help us improve your experience
Sheryl Ezze and 82 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The General Social Survey asks questions about one's happiness in marriage. Is there an association between gender and happiness in marriage? Use the data in the table to determine if gender is associated with happiness in marriage. Treat gender as the explanatory variable. $$\begin{array}{lrrr} & \text { Male } & \text { Female } & \text { Total } \\\hline \text { Very happy } & 7,609 & 7,942 & 15,551 \\\hline \text { Pretty happy } & 3,738 & 4,447 & 8,185 \\\hline \text { Not too happy } & 259 & 460 & 719 \\\hline \text { Total } & 11.606 & 12.849 & 24.455\end{array}$$
Describing the Relation between Two Variables
Contingency Tables and Association
The General Social Survey asks questions about one’s happiness in marriage. Is there an association between gender and happiness in marriage? Use the data in the table to determine if gender is associated with happiness in marriage. Treat gender as the explanatory variable. $$\begin{array}{lccc} & \text { Male } & \text { Female } & \text { Total } \\\hline \text { Very happy } & 7,609 & 7,942 & 15,551 \\\hline \text { Pretty happy } & 3,738 & 4,447 & 8,185 \\\hline \text { Not too happy } & 259 & 460 & 719 \\\hline \text { Total } & 11,606 & 12,849 & 24,455 \\\hline\end{array}$$
Assignment #6 For this assignment, you will be using the Tips Dataset file in Excel. The file contains both qualitative and quantitative variables. Choose two qualitative variables. You will be using a hypothesis test to determine if the two variables are associated. 1. Which two variables did you choose? Create a table to summarize the data from the data file. Example below: Example: Listed below are data from a survey conducted recently where Males and Females responded to their happiness with their supervisor (this is fictitious data). Response Male Female Total Not at all 23 25 48 Somewhat 13 22 35 Very 26 16 42 Total 62 63 125 2. Which hypothesis test is appropriate for this type of data? Explain. What is your null hypothesis? What is your alternative hypothesis? 3. Conduct the hypothesis test. Include any output from Excel. What is your test statistic? Using alpha = 0.05 determine the results of your hypothesis test. Explain. 4. Interpret your results into a conclusion based on your hypothesis (are the variables associated or not?). What are the practical implications of your conclusion? Explain.
Jon S.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD