Based on data collected by the U.S. General Social Survey, a researcher examines the frequency with which adults responded to two questions. The first asked people if they resided in the same city or town now as when they were 16 years old (Residence). The second asked if they found life generally exciting, routine, or dull (Life). Using data from 2,791 people, the results are below.     Life is Generally:   Living in: Exciting Routine Dull Marginal n Same City or Town O = 489 E = O = 601 E = O = 64 E = 1154 Different Area O = 797 E = O = 763 E = O = 77 E = 1637 Marginal n 1286 1364 141 2791   Using the chi-square (χ2) test for independence, examine if the feelings people have about life in general are related to living in the same city or town as when a teen.   State the hypotheses (H0 and H1).    Find the critical value for α = .05, 1-tailed.    Calculate the test statistic (χ2), filling in relevant portions of the table above as you go.    Make a statistical decision and write a conclusion statement. Remember to informally compare observed and expected values to understand the results.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
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Based on data collected by the U.S. General Social Survey, a researcher examines the frequency with which adults responded to two questions. The first asked people if they resided in the same city or town now as when they were 16 years old (Residence). The second asked if they found life generally exciting, routine, or dull (Life). Using data from 2,791 people, the results are below.

 

 

Life is Generally:

 

Living in:

Exciting

Routine

Dull

Marginal n

Same City or Town

O = 489

E =

O = 601

E =

O = 64

E =

1154

Different Area

O = 797

E =

O = 763

E =

O = 77

E =

1637

Marginal n

1286

1364

141

2791

 

Using the chi-square 2) test for independence, examine if the feelings people have about life in general are related to living in the same city or town as when a teen.

 

  1. State the hypotheses (H0 and H1). 

 

  1. Find the critical value for α = .05, 1-tailed. 

 

  1. Calculate the test statistic (χ2), filling in relevant portions of the table above as you go. 

 

  1. Make a statistical decision and write a conclusion statement. Remember to informally compare observed and expected values to understand the results.

 

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