Homework Help is Here – Start Your Trial Now!
Math
Statistics
A sample of 750 children treated for injuries sustained from motor vehicle accidents was obtained, and each child was classified according to (1) ethnic background (English Speaking Background (ESB) or Non-English Speaking Background (NESB)) and (2) seat belt usage (worn or not worn) during the accident. The number of children in each category is given in the table below. NESB ESB Seat belts worn 40 150 Seat belts not worn 240 320 a) In the following table, fill in the missing expected frequency. Show all working. Expected frequencies NESB ESB Seat belts worn 70.93333 119.0667 Seat belts not worn 350.9333 b) Which hypothesis has to be true in order that the frequencies calculated above actually are the expected frequencies? c) We wish to conduct an appropriate hypothesis test at the 1% level of significance to determine whether the use of seat belts in motor vehicles depends on ethnic background. If the calculated test statistic is 28.83 and the critical value is 6.6349, do we reject or retain the null hypothesis? Interpret the results in contextual terms.

A sample of 750 children treated for injuries sustained from motor vehicle accidents was obtained, and each child was classified according to (1) ethnic background (English Speaking Background (ESB) or Non-English Speaking Background (NESB)) and (2) seat belt usage (worn or not worn) during the accident. The number of children in each category is given in the table below. NESB ESB Seat belts worn 40 150 Seat belts not worn 240 320 a) In the following table, fill in the missing expected frequency. Show all working. Expected frequencies NESB ESB Seat belts worn 70.93333 119.0667 Seat belts not worn 350.9333 b) Which hypothesis has to be true in order that the frequencies calculated above actually are the expected frequencies? c) We wish to conduct an appropriate hypothesis test at the 1% level of significance to determine whether the use of seat belts in motor vehicles depends on ethnic background. If the calculated test statistic is 28.83 and the critical value is 6.6349, do we reject or retain the null hypothesis? Interpret the results in contextual terms.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
See similar textbooks
icon
Related questions
Question

Answer this question

A sample of 750 children treated for injuries sustained from motor vehicle accidents was obtained, and each child was classified according to (1) ethnic background (English Speaking Background (ESB) or Non-English Speaking Background (NESB)) and (2) seat belt usage (worn or not worn) during the accident. The number of children in each category is given in the table below. NESB ESB Seat belts worn 40 150 Seat belts not worn 240 320 a) In the following table, fill in the missing expected frequency. Show all working. Expected frequencies NESB ESB Seat belts worn 70.93333 119.0667 Seat belts not worn 350.9333 b) Which hypothesis has to be true in order that the frequencies calculated above actually are the expected frequencies? c) We wish to conduct an appropriate hypothesis test at the 1% level of significance to determine whether the use of seat belts in motor vehicles depends on ethnic background. If the calculated test statistic is 28.83 and the critical value is 6.6349, do we reject or retain the null hypothesis? Interpret the results in contextual terms. d) If the frequencies were half those given at the start of this question and the level of significance remains at 1%, would you expect the hypothesis test to yield the same conclusion? Provide an intuitive explanation.
Transcribed Image Text:A sample of 750 children treated for injuries sustained from motor vehicle accidents was obtained, and each child was classified according to (1) ethnic background (English Speaking Background (ESB) or Non-English Speaking Background (NESB)) and (2) seat belt usage (worn or not worn) during the accident. The number of children in each category is given in the table below. NESB ESB Seat belts worn 40 150 Seat belts not worn 240 320 a) In the following table, fill in the missing expected frequency. Show all working. Expected frequencies NESB ESB Seat belts worn 70.93333 119.0667 Seat belts not worn 350.9333 b) Which hypothesis has to be true in order that the frequencies calculated above actually are the expected frequencies? c) We wish to conduct an appropriate hypothesis test at the 1% level of significance to determine whether the use of seat belts in motor vehicles depends on ethnic background. If the calculated test statistic is 28.83 and the critical value is 6.6349, do we reject or retain the null hypothesis? Interpret the results in contextual terms. d) If the frequencies were half those given at the start of this question and the level of significance remains at 1%, would you expect the hypothesis test to yield the same conclusion? Provide an intuitive explanation.
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Research Ethics
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
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
SEE MORE TEXTBOOKS