The research department at the home office of New Hampshire Insurance conducts ongoing research on the causes of automobile accidents, the characteristics of the drivers, and so on. A random sample of 400 policies written on single persons revealed 120 had at least one accident in the previous three-year period. Similarly, a sample of 600 policies written on married persons revealed that 150 had been in at least one accident. At the 0.05 significance level, is there a significant difference in the proportions of single and married persons having an accident during a three-year period? Determine the p-value. Hint. For the calculations, assume the single persons as the first sample. a. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) Ho is rejected if z the interval (

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
icon
Related questions
Question
E. What is your decision regarding the null hypothesis? Rejects Ho (or) do not reject Ho
The research department at the home office of New Hampshire Insurance conducts ongoing research on the causes of automobile
accidents, the characteristics of the drivers, and so on. A random sample of 400 policies written on single persons revealed 120 had at
least one accident in the previous three-year period. Similarly, a sample of 600 policies written on married persons revealed that 150
had been in at least one accident.
At the 0.05 significance level, is there a significant difference in the proportions of single and married persons having an accident
during a three-year period? Determine the p-value. Hint For the calculations, assume the single persons as the first sample.
a. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)
Ho is rejected if z
the interval (
Transcribed Image Text:The research department at the home office of New Hampshire Insurance conducts ongoing research on the causes of automobile accidents, the characteristics of the drivers, and so on. A random sample of 400 policies written on single persons revealed 120 had at least one accident in the previous three-year period. Similarly, a sample of 600 policies written on married persons revealed that 150 had been in at least one accident. At the 0.05 significance level, is there a significant difference in the proportions of single and married persons having an accident during a three-year period? Determine the p-value. Hint For the calculations, assume the single persons as the first sample. a. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) Ho is rejected if z the interval (
Check
b. Compute the pooled proportion. (Round your answer to 2 decimal places.)
Pooled proportion
c. Compute the value of the test statistic. (Round your answer to 2 decimal places.)
Value of the test statistic
d. Compute the p-value. (Round your answer to 4 decimal places.)
p-value
Transcribed Image Text:Check b. Compute the pooled proportion. (Round your answer to 2 decimal places.) Pooled proportion c. Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the test statistic d. Compute the p-value. (Round your answer to 4 decimal places.) p-value
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Statistical Power and Errors
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax