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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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Question

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