![vtrvfrfvrvfvnkjrf](/avatars/39688.jpg)
vtrvfrfvrvfvnkjrf
13.12.2019 •
Mathematics
Arandom sample of 160 car accidents are selected and categorized by the age of the driver determined to be at fault. the results are listed below. the age distribution of drivers for the given categories is 18% for the under 26 group, 39% for the 26-45 group, 31% for the 45-65 group, and 12% for the group over 65. calculate the chi-square test statistic used to test the claim that all ages have crash rates proportional to their driving rates.
age > 26 26-45 46-65 45<
drivers 66 39 25 30
a).95.431
b).101.324
c).85.123
d).75.101
Solved
Show answers
More tips
- G Goods and services How to Choose a Humidifier? Helpful Tips and Recommendations...
- W Work and Career What is the Most In-Demand Profession in the Modern World?...
- A Auto and Moto How Can Parking Sensors Help Drivers?...
- H Health and Medicine What is the Normal Blood Sugar Level in a Healthy Person?...
- F Food and Cooking Red Caviar: How to Choose the Best?...
- C Computers and Internet Clearing Cache: How to Speed Up Your Browser...
- S Style and Beauty How are artificial nails removed?...
- S Style and Beauty Secrets of Tying a Pareo: 5 Ways...
- F Food and Cooking Everything You Need to Know About Pasta...
Answers on questions: Mathematics
- M Mathematics Which scale factors produce an expansion under a dilation of the original image? Select each correct answer. A. 0.3 B. 0.75 C. 2 D. 3...
- M Mathematics Which of the following is the best to buy?...
- M Mathematics Subtract 4 from b, then subtract a...
- M Mathematics Jaime is using a ladder that is 5ft long to put of flowers by the window. If the ladder is 3 feet away from the base of her house, how high is the window...
- M Mathematics Is 9 times 1/9 less than 1, equal to 1, or greater than 1?...
- M Mathematics Cara is sorting buttons by length for a craft project the line plot shows a link of each button if car lands of all the 3/4 inch buttons will be the total length...
- M Mathematics What are the zeros of this function?...
- M Mathematics Cgc,gvmbmbbvvhvvhhjjjbu...
- M Mathematics Omg I don’t get it can some one please explain!!...
- M Mathematics 5 Mike finds the shirt he wants to buy for $25 at three different stores. Each of the three stores has a different sale on the shirt he wants. • Store Koffers - off the...
Ответ:
D).75.101
Step-by-step explanation:
Previous concepts
The Chi-Square test of independence is used "to determine if there is a significant relationship between two nominal (categorical) variables". And is defined with the following statistic:
Where O represent the observed values and E the expected values.
State the null and alternative hypothesis
Null hypothesis: All ages have crash rates proportional to their driving rates
Alternative hypothesis: Not All ages have crash rates proportional to their driving rates
The observed values are given by the table given:
Age <26 26-45 46-65 >45
Drivers 66 39 25 30
Calculate the expected values
In order to calculate the expected values we can use the rates given by the problem:
The age distribution of drivers for the given categories is :
18% for the under 26 group, E1 = 160*0.18=28.8
39% for the 26-45 group, E2=160*0.39=62.4
31% for the 45-65 group, E3=160*0.31=49.6
12% for the group over 65. E4=160*0.12=19.2
Calculate the statistic
Calculate the critical value
First we need to calculate the degrees of freedom given by:
We can use a confidence level for example 95%, and the significance would be
and we can find the critical value with the following excel code: "=CHISQ.INV(0.95,3)", and our critical value would be ![\chi^2_{crit}=7.815](/tpl/images/0417/7252/b5941.png)
We can calculate also the p value:
And we got the same decision reject the null hypothesis at 5% of significance.
Ответ:
Hope this helped