Hi, I would like to know how to solve this sample question step by step with explanation as I am new to this topic. (Idk why the sysrem flags this as a graded question or whatever but its not and I need help understanding. Please do not reject) A study was conducted to determine whether big-city and small-town dwellers differed in their helpfulness to strangers. In this study, the investigators rang the doorbells of strangers living in a large city or small towns in the vicinity. They explained they had misplaced the address of a friend living in the neighbourhood and asked to use the phone. The following data show the number of individuals who admitted or did not admit the strangers (the investigators) into their homes: strangers admitted into their home by big city dwellers : 60  strangers not admitted into their home by big city dwellers : 90 strangers admitted into their home by small town dwellers : 70 strangers not admitted into their home by small town dwellers : 30 Do big-city dwellers differ in their helpfulness to strangers? Use alpha = 0.05.  For this question be sure to do the following: ▪ State the statistical hypotheses (using the appropriate notation) ▪ Set the decision rules, which will include: o State alpha o Compute the degrees of freedom o Providing the critical value for the test statistic o Sketch the curve and label the rejection region o State the decision rules ▪ State Chi-square formula ▪ State expected frequency formula ▪ Calculate the test statistic using the table method. ▪ Draw a conclusion (state whether H0 is rejected or not and why you made this decision). ▪ Interpret the result

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 5CT
icon
Related questions
Question

Hi, I would like to know how to solve this sample question step by step with explanation as I am new to this topic.
(Idk why the sysrem flags this as a graded question or whatever but its not and I need help understanding. Please do not reject)

A study was conducted to determine whether big-city and small-town dwellers differed in their helpfulness to strangers. In this study, the investigators rang the doorbells of strangers living in a large city or small towns in the vicinity. They explained they had misplaced the address of a friend living in the neighbourhood and asked to use the phone. The following data show the number of individuals who admitted or did not admit the strangers (the investigators) into their homes:

strangers admitted into their home by big city dwellers : 60 

strangers not admitted into their home by big city dwellers : 90

strangers admitted into their home by small town dwellers : 70

strangers not admitted into their home by small town dwellers : 30

Do big-city dwellers differ in their helpfulness to strangers? Use alpha = 0.05. 
For this question be sure to do the following:
▪ State the statistical hypotheses (using the appropriate notation)
▪ Set the decision rules, which will include:
o State alpha
o Compute the degrees of freedom
o Providing the critical value for the test statistic o Sketch the curve and label the rejection region o State the decision rules
▪ State Chi-square formula
▪ State expected frequency formula
▪ Calculate the test statistic using the table method.
▪ Draw a conclusion (state whether H0 is rejected or not and why you made this
decision).
▪ Interpret the result

Expert Solution
steps

Step by step

Solved in 11 steps with 27 images

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,