Question

In: Statistics and Probability

Study was conducted to find out whether types of tools stolen from work sites differ across...

Study was conducted to find out whether types of tools stolen from work sites differ across New Jersey. The following table shows the theft data collected.

Place Saw type 1 Drill 1 Saw type2 Drill 2
Edison 280 175 390 19
Jersey City 248 165 448 10
Rah-way 310 196 996 25
Metuchen 152 108 441 18

Can it be concluded that the type of tools stolen dependent on the place at 1 percent level of significance?

Solutions

Expert Solution

Ans:

Chi square test for independence:

Observed(fo)
Place Saw type 1 Drill 1 Saw type2 Drill 2 Total
Edison 280 175 390 19 864
Jersey City 248 165 448 10 871
Rah-way 310 196 996 25 1527
Metuchen 152 108 441 18 719
Total 990 644 2275 72 3981
Expected(fe)
Place Saw type 1 Drill 1 Saw type2 Drill 2 Total
Edison 214.86 139.77 493.75 15.63 864
Jersey City 216.60 140.90 497.75 15.75 871
Rah-way 379.74 247.02 872.63 27.62 1527
Metuchen 178.80 116.31 410.88 13.00 719
Total 990 644 2275 72 3981
Chi square=(fo-fe)^2/fe
Place Saw type 1 Drill 1 Saw type2 Drill 2 Total
Edison 19.748 8.881 21.799 0.728 51.157
Jersey City 4.552 4.122 4.972 2.101 15.746
Rah-way 12.807 10.538 17.443 0.248 41.035
Metuchen 4.018 0.594 2.208 1.920 8.739
Total 41.124 24.135 46.421 4.997 116.677

Test statistic:

Chi square=116.677

df=(4-1)*(4-1)=9

p-value=CHIDIST(116.677,9)=0.0000

Reject the null hypothesis,as p-value<0.01

There is sufficient evidence to conclude that the type of tools stolen dependent on the place.

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Researchers conducted a study to find out if there is a difference in the use of...
Researchers conducted a study to find out if there is a difference in the use of eReaders by different age groups. Randomly selected participants were divided into two age groups. In the 16- to 29-year-old group, 7% of the 627 surveyed use eReaders, while 11% of the 2,314 participants 30 years old and older use eReaders. Use α = 0.05. For subscripts let 1 = 16- to 29-year-old users, and 2 = 30 years old and older users. 1. State...
A survey is conducted to find out whether people in metropolitan areas obtain their news from...
A survey is conducted to find out whether people in metropolitan areas obtain their news from television (Event T), a newspaper (Event N), or radio (Event R). The results show that 60% of people get news on television, 60% from newspapers, 50% from radio, 30% from television and newspapers, 25% from television and radio, 30% from newspapers and ratio, and 15% from television, newspapers and radio. a) What is the proportion of those who obtain news from television, but not...
A study was conducted to see whether two types of cars, A and B, took the...
A study was conducted to see whether two types of cars, A and B, took the same time to parallel park. Seven drivers were randomly obtained and the time required for each of them to parallel park (in seconds) each of the 2 cars was measured. The results are listed below in order of driver (e.g. the first listing for A and B are driver 1; the second listing driver 2; etc.) Car A: 19, 21.8, 16.8, 24.2, 22, 34.7,...
A recent study was conducted to determine whether there was a relationship between work (X) and...
A recent study was conducted to determine whether there was a relationship between work (X) and education (Y) where 200 people were asked two questions: 1) Are you educated? 2) Are you engaged in what?) The answer should be yes or no. Required: Calculate the coefficient of association with interpretation of the results. education no education work 113 23 no work 49 15
A study was conducted to find out the type of relationship between randomly selected15 Masters of...
A study was conducted to find out the type of relationship between randomly selected15 Masters of Education Degree students scores in Research Methods and Statistics at Mount Kenya University during the 2012/2013 academic year. The results were as displayed in the table below. Student    Research marks   Statistics marks 1   84   69 2   74   64 3   48   56 4   54   72 5   72   85 6   71   68 7   96   87 8   75   86 9   69   71 10   100   91 11  ...
An observational study was conducted to find out if eating whole-wheat products was associated with a...
An observational study was conducted to find out if eating whole-wheat products was associated with a reduction in body mass index (BMI) for children. The measure of interest was the difference between population mean BMI for children who eat whole wheat products and children who don’t. a) Write the null and alternative hypotheses for this situation. b) Describe what a type 1 error would be in this situation. c) Describe what a type 2 error would be in this situation....
A study was conducted to find out if eating whole-wheat products was associated with a reduction...
A study was conducted to find out if eating whole-wheat products was associated with a reduction in body mass index (BMI) in adults. Researchers randomly assigned participants into two groups (eaters and non-eaters of whole-eat products) for a two-month period. The average BMI reduction for the 155 adults who ate whole-wheat products was 2.3 and the standard deviation was 1.1. For the 148 adults who did not eat whole-wheat products the average BMI reduction was 1.2 and the standard deviation...
A study is conducted to assess whether residents in City A spent a different out-of-pocket amount...
A study is conducted to assess whether residents in City A spent a different out-of-pocket amount on prescription medications from residents in City B last year. The study is restricted to residents who are 50 years of age or older. Residents are selected at random. For each resident, the total amount of dollars spent on prescription medications over the last year is recorded. The summary statistics of the sample data are given in the table below. Let μ1 be the...
A study is conducted to assess whether residents in City A spent a different out-of-pocket amount...
A study is conducted to assess whether residents in City A spent a different out-of-pocket amount on prescription medications from residents in City B last year. The study is restricted to residents who are 50 years of age or older. Residents are selected at random. For each resident, the total amount of dollars spent on prescription medications over the last year is recorded. The summary statistics of the sample data are given in the table below. Let µ1 be the...
Dr. Phil conducts a study to find out whether or not a specific PTSD therapy is...
Dr. Phil conducts a study to find out whether or not a specific PTSD therapy is effective. At the end of the study he would like to provide evidence that the treated individuals are different than before. What statistics does he need to do this?
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT