Question
In: Statistics and Probability
The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of...
The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of the week. Assume that a sample of 420 accidents provided the following data.
| Sunday | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday |
|---|---|---|---|---|---|---|
| 66 | 50 | 52 | 47 | 56 | 69 | 80 |
(a) Conduct a hypothesis test to determine if the proportion of traffic accidents is the same for each day of the week. Use a 0.05 level of significance.
State the null and alternative hypotheses:
A. H0: Not all proportions are equal.
Ha: pSun ≠
pMon ≠ pTue ≠
pWed ≠ pThu ≠
pFri ≠ pSat ≠
| 1 |
| 7 |
B. H0: Not all proportions are equal.
Ha: pSun =
pMon = pTue =
pWed = pThu =
pFri = pSat =
| 1 |
| 7 |
C. H0: pSun ≠ pMon ≠ pTue ≠ pWed ≠ pThu ≠ pFri ≠ pSat ≠
| 1 |
| 7 |
Ha: All proportions are equal.
D. H0: pSun = pMon = pTue = pWed = pThu = pFri = pSat =
| 1 |
| 7 |
Ha: Not all proportions are equal.
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
State your conclusion:
A. Reject H0. We conclude that the proportion of traffic accidents is not the same for each day of the week.
B. Do not reject H0. We conclude that the proportion of traffic accidents is the same for each day of the week.
C. Do not reject H0. We conclude that the proportion of traffic accidents is not the same for each day of the week.
D. Reject H0. We conclude that the proportion of traffic accidents is the same for each day of the week.
(b) Compute the percentage of traffic accidents occurring on each day of the week. (Round your answers to two decimal places.)
Sunday _____%
Monday _____%
Tuesday _____%
Wednesday _____%
Thursday _____%
Friday _____%
Saturday _____%
What day has the highest percentage of traffic accidents?
Solutions
Expert Solution
a)since we expect that that proportion are equal in each of the day
option D is correct for hypothesis:
| applying chi square goodness of fit test: |
| relative | observed | Expected | residual | Chi square | |
| girls | frequency(p) | Oi | Ei=total*p | R2i=(Oi-Ei)/√Ei | R2i=(Oi-Ei)2/Ei |
| Sunday | 1/7 | 66 | 60.00 | 0.77 | 0.600 |
| Monday | 1/7 | 50 | 60.00 | -1.29 | 1.667 |
| Tuesday | 1/7 | 52 | 60.00 | -1.03 | 1.067 |
| Wednesday | 1/7 | 47 | 60.00 | -1.68 | 2.817 |
| Thursday | 1/7 | 56 | 60.00 | -0.52 | 0.267 |
| Friday | 1/7 | 69 | 60.00 | 1.16 | 1.350 |
| Saturday | 1/7 | 80 | 60.00 | 2.58 | 6.667 |
| total | 1 | 420 | 420 | 14.4333 | |
| test statistic X2 = | 14.433 | ||||
| p value = | 0.0252 | from excel: chidist(14.433,6) | |||
| since p value is less than significance level , we reject null hypothesis |
A. Reject H0. We conclude that the proportion of traffic accidents is not the same for each day of the week.
| category | % |
| Sunday | 15.71% |
| Monday | 11.90% |
| Tuesday | 12.38% |
| Wednesday | 11.19% |
| Thursday | 13.33% |
| Friday | 16.43% |
| Saturday | 19.05% |
| staturday has the highest number of traffic accidents followed by Friday . |
orchestra answered 2 years agoRelated Solutions
The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of...
The National Highway Traffic Safety Administration reported the
percentage of traffic accidents occurring each day of the week.
Assume that a sample of 420 accidents provided the following data.
Sunday 63. Monday 47. Tuesday 55. Wednesday 45. Thursday 57. Friday
67. Saturday 86. 1)Conduct a hypothesis test to determine if the
proportion of traffic accidents is the same for each day of the
week. What is the p-value? 2. Compute the value of the x^2 test
statistic (to 3 decimals)....
The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of...
The National Highway Traffic Safety Administration reported the
percentage of traffic accidents occurring each day of the week.
Assume that a sample of 420 accidents provided the following
data.
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
66
50
53
48
54
69
80
(a)
Conduct a hypothesis test to determine if the proportion of
traffic accidents is the same for each day of the week. Use a 0.05
level of significance.
State the null and alternative hypotheses.
H0: pSun =...
The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of...
The National Highway Traffic Safety Administration reported the
percentage of traffic accidents occurring each day of the week.
Assume that a sample of 420 accidents provided the following
data.
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
67
50
53
47
55
68
80
Find the value of the test statistic. (Round your answer to
three decimal places.)
Find the p-value. (Round your answer to four decimal
places.)
p-value =
Compute the percentage of traffic accidents occurring on each
day of...
The National Highway Traffic Safety Administration reports the percentage of traffic accidents occurring each day of...
The National Highway Traffic Safety Administration reports the
percentage of traffic accidents occurring each day of the week.
Assume that a sample of 420 accidents provided the following
date.
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Total
66
50
53
47
55
69
80
420
Conduct a hypothesis test to determine whether the proportion of
traffic accidents is the same for each day of the week. Using a .05
level of significance, what is your conclusion?
1. Which is the...
The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally...
The U.S. Department of Transportation, National Highway Traffic
Safety Administration, reported that 77% of all fatally injured
automobile drivers were intoxicated. A random sample of 51 records
of automobile driver fatalities in a certain county showed that 33
involved an intoxicated driver. Do these data indicate that the
population proportion of driver fatalities related to alcohol is
less than 77% in Kit Carson County? Use α = 0.10.
(a) What is the level of significance?
State the null and alternate...
The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally...
The U.S. Department of Transportation, National Highway Traffic
Safety Administration, reported that 77% of all fatally injured
automobile drivers were intoxicated. A random sample of 52records
of automobile driver fatalities in a certain county showed that 32
involved an intoxicated driver. Do these data indicate that the
population proportion of driver fatalities related to alcohol is
less than 77% in Kit Carson County? Use α = 0.10.
(a) What is the level of significance?
State the null and alternate hypotheses....
The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally...
The U.S. Department of Transportation, National Highway Traffic
Safety Administration, reported that 77% of all fatally injured
automobile drivers were intoxicated. A random sample of 25 records
of automobile driver fatalities in Kit Carson County, Colorado,
showed that 14 involved an intoxicated driver. Do these data
indicate that the population proportion of driver fatalities
related to alcohol is less than 77% in Kit Carson County? Use
? = 0.01. Solve the problem using both the traditional
method and the P-value...
The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally...
The U.S. Department of Transportation, National Highway Traffic
Safety Administration, reported that 77% of all fatally injured
automobile drivers were intoxicated. A random sample of 54 records
of automobile driver fatalities in a certain county showed that 36
involved an intoxicated driver. Do these data indicate that the
population proportion of driver fatalities related to alcohol is
less than 77% in Kit Carson County? Use α = 0.10.
1. What is the value of the sample test statistic? (Round your...
The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally...
The U.S. Department of Transportation, National Highway Traffic
Safety Administration, reported that 77% of all fatally injured
automobile drivers were intoxicated. A random sample of 27 records
of automobile driver fatalities in Kit Carson County, Colorado,
showed that 15 involved an intoxicated driver. Do these data
indicate that the population proportion of driver fatalities
related to alcohol is less than 77% in Kit Carson County? Use
α = 0.01. Solve the problem using both the traditional
method and the P-value...
The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally...
The U.S. Department of Transportation, National Highway Traffic
Safety Administration, reported that 77% of all fatally injured
automobile drivers were intoxicated. A random sample of 34 records
of automobile driver fatalities in Kit Carson County, Colorado,
showed that 19 involved an intoxicated driver. Do these data
indicate that the population proportion of driver fatalities
related to alcohol is less than 77% in Kit Carson County? Use
α = 0.01. Solve the problem using both the traditional
method and the P-value...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Large lots are desirable in supply chain coordination despite increasing holding costs.
- ***Convert the C++ to Python*** #include <iostream> using std::cout; using std::cin; using std::endl; int charClass; char...
- Make-or-Buy Decision Fremont Computer Company has been purchasing carrying cases for its portable computers at a...
- The following costs were incurred for the single product produced during the first year of operations...
- Non-constant growth model: Do=$2.00 required return on equity= 5% g= 9% n=1,2 g=7% n=3,4 g=3% n=5...
- . Find all x ∈ Z143 such that x2Ξ 7 (mod 143). Please explain all steps...
- #Python: A palindrome is a sequence of characters that reads the same backwards as forwards. For...
ADVERTISEMENT