AutoWrecks, Inc. sells auto insurance. AutoWrecks keeps close tabs on its customers' driving records, updating its rates according to the trends indicated by these records. AutoWrecks' records indicate that, in a "typical" year, roughly 70% of the company's customers do not commit a moving violation, 10% commit exactly one moving violation, 15% commit exactly two moving violations, and 5% commit three or more moving violations. This past year's driving records for a random sample of 120 AutoWrecks customers are summarized by the first row of numbers in the table below. That row gives this year's observed frequency for each moving violation category for the sample of 120 AutoWrecks customers. The second row of numbers gives the frequencies expected for a sample of 120 AutoWrecks customers if the moving violations distribution for this year is the same as the distribution for a "typical" year. The bottom row of numbers contains the following value for each of the moving violation categories. (o-E) (ObservettequencyExpectefrequent JE Expectefrequency Part 1 Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. Round your (O-SE) JE responses to three or more decimal places. Send data to Excel No violations Exactly one violation Exactly two violations Three or more violations Total Observed frequency So 80 11 19 10 120 Expected frequency 0 12.00 18.00 JE (0-1)² 0.083 0.056 JE Part 2 Answer the following to summarize the test of the hypothesis that there is no difference between this year's moving violation distribution and the distribution in a "typical" year. Use the 0.10 level of significance for the test. (a) Determine the type of test statistic to use. Type of test statistic: (Choose one) (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) 0 (c) Find the p-value. (Round your answer to three or more decimal places.) (d) Can we reject the hypothesis that there is no difference between this year's moving violation distribution and the distribution in a "typical" year? Yes No B

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
Question
100%
AutoWrecks, Inc. sells auto insurance. AutoWrecks keeps close tabs on its customers' driving records, updating its rates
according to the trends indicated by these records. AutoWrecks' records indicate that, in a "typical" year, roughly 70% of the
company's customers do not commit a moving violation, 10% commit exactly one moving violation, 15% commit exactly two
moving violations, and 5% commit three or more moving violations.
This past year's driving records for a random sample of 120 AutoWrecks customers are summarized by the first row of
numbers in the table below. That row gives this year's observed frequency for each moving violation category for the sample
of 120 AutoWrecks customers. The second row of numbers gives the frequencies expected for a sample of 120 AutoWrecks
customers if the moving violations distribution for this year is the same as the distribution for a "typical" year. The bottom
row of numbers contains the following value for each of the moving violation categories.
(o-E) (ObservettequencyExpectefrequent
JE
Expectefrequency
Part 1
Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places.
Round your
(O-SE)
JE
responses to three or more decimal places.
Send data to Excel
No
violations
Exactly one
violation
Exactly two
violations
Three or more
violations
Total
Observed
frequency
So
80
11
19
10
120
Expected
frequency
0
12.00
18.00
JE
(0-1)²
0.083
0.056
JE
Part 2
Answer the following to summarize the test of the hypothesis that there is no difference between this year's moving
violation distribution and the distribution in a "typical" year. Use the 0.10 level of significance for the test.
(a) Determine the type of test statistic to use.
Type of test statistic: (Choose one)
(b) Find the value of the test statistic. (Round your answer to two or more
decimal places.)
0
(c) Find the p-value. (Round your answer to three or more decimal places.)
(d) Can we reject the hypothesis that there is no difference between this
year's moving violation distribution and the distribution in a "typical"
year?
Yes No
B
Transcribed Image Text:AutoWrecks, Inc. sells auto insurance. AutoWrecks keeps close tabs on its customers' driving records, updating its rates according to the trends indicated by these records. AutoWrecks' records indicate that, in a "typical" year, roughly 70% of the company's customers do not commit a moving violation, 10% commit exactly one moving violation, 15% commit exactly two moving violations, and 5% commit three or more moving violations. This past year's driving records for a random sample of 120 AutoWrecks customers are summarized by the first row of numbers in the table below. That row gives this year's observed frequency for each moving violation category for the sample of 120 AutoWrecks customers. The second row of numbers gives the frequencies expected for a sample of 120 AutoWrecks customers if the moving violations distribution for this year is the same as the distribution for a "typical" year. The bottom row of numbers contains the following value for each of the moving violation categories. (o-E) (ObservettequencyExpectefrequent JE Expectefrequency Part 1 Fill in the missing values in the table. Round your responses for the expected frequencies to two or more decimal places. Round your (O-SE) JE responses to three or more decimal places. Send data to Excel No violations Exactly one violation Exactly two violations Three or more violations Total Observed frequency So 80 11 19 10 120 Expected frequency 0 12.00 18.00 JE (0-1)² 0.083 0.056 JE Part 2 Answer the following to summarize the test of the hypothesis that there is no difference between this year's moving violation distribution and the distribution in a "typical" year. Use the 0.10 level of significance for the test. (a) Determine the type of test statistic to use. Type of test statistic: (Choose one) (b) Find the value of the test statistic. (Round your answer to two or more decimal places.) 0 (c) Find the p-value. (Round your answer to three or more decimal places.) (d) Can we reject the hypothesis that there is no difference between this year's moving violation distribution and the distribution in a "typical" year? Yes No B
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