ZuoTi.Pro
Question

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 Tues day Wednesday Thursday riday Saturday 50 53 47 69 (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. Ho: Not all proportions are equal. o H0: Not all proportions are equal. Ha: Not all proportions are equal. Ha: 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.) p-value- State your conclusion. o Reject Ho. We conclude that the proportion of traffic accidents is not the same for each day of the week. o Reject Ho. We conclude that the proportion of traffic accidents is the same for each day of the week. o Do not reject Ho. We conclude that the proportion of traffic accidents is not the same for each day of the week. Do not reject Ho. 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 Wednesday Thursday Friday Saturday What day has the highest percentage of traffic accidents? Sunday Monday Tuesday Wednesday Friday Saturday

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Solution: Part-A H1: Not all proportions are equal Level of significance -a 0.05 If null hypothesis Ho is true, then expected frequencies can be calculated as below: Observed Frequency Expected Frequency f. -f Weekday 60 60 60 60 60 60 60 6 10 -7 13 36 100 49 169 25 81 400 0.600 1.667 0.817 2.817 0.417 1.350 6.667 Sun 50 53 47 Mon Wed Thu ri Sat 69 9 80 20 2fo - 420 2fe 420 o-f./fe 14.333 Test Statistic: - 14.333 Degrees of Freedom df (number of categories 1) Hence, df 7 1 6P-value: From the x2 distribution table; area under the curve to the right of (x2 14.333) and for (df 6), is given by: 0.0261 Hence, p-value = 0.0261 Since p value < a, we reject the null hypothesis Conclusion: Reject Ho. We conclude that the proportion of traffic accidents is not the same for each day of the week. Part-B: Percentage of traffic accidents occurring on each day of the week Mon Tue Wed Thu Fri 66/420 x 100-15.71% 50/420 x 100 = 11.90% 53/420 x 100-12.62% 47/420 x 100 = 11.19% 55/420 x 100-13.10% 69/420 x 100 = 16.43% 80/420 x 100 = 19.05% Saturday has the highest percentage of traffic accidents

0 0
Add a comment
Know the answer?
Add Answer to:
The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • 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 acdldents provided the following data. Sunday Monday Tuesday Wednesday Thursday Friday Saturday 50 64 48 56 53 70 9 a. 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? Compute the value of the ?2 test statistic (to 3 decimals)....

  • thanks for your help The National Highway Traffic Safety Administration reported the percentage of traffic accidents...

    thanks for your help 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 65 52 54 45 52 72 80 a. 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? Compute the value of the test...

  • Answer the following questions with the given data set: 1 Distribution of accidents Accidents Weekunday Monday...

    Answer the following questions with the given data set: 1 Distribution of accidents Accidents Weekunday Monday Tuesday Wednesday Thursday Day of the Mon Week |- | 10|29 Frequency 36 Friday Saturday 41 50 63 40 PrintDone A researcher wanted to determine whether certain accidents were uniformly distributed over the days of the week. The data show the day of the week for n =299 randomly selected accidents. Is there reason to believe that the accident occurs with equal frequency with...

  • accidents were uniformly distributed over the days of the week. The data n 317 randomly selected...

    accidents were uniformly distributed over the days of the week. The data n 317 randomly selected accidents. Is there reason to believe that the accident occurs with un 1. A researcher wanted to determine whether certain for equal frequenay with respect to the day of the week at the a 0.05 level of significance? Click the icon to view the table Let p, the proportion of accidents on day i. where i 1 for Sunday, 2 for Monday, etc. What...

  • A researcher wanted to determine whether certain accidents were uniformly distributed over the days of the...

    A researcher wanted to determine whether certain accidents were uniformly distributed over the days of the week. The data show the day of the week for n = 304 randomly selected accidents. Is there reason to believe that the accident occurs with equal frequency with respect to the day of the week at the α 0.05 level of significance? lB Click the icon to view the table Distribution of accidents H+: More accidents occur earlier in the week than later...

  • A researcher wanted to determine whether certain accidents were uniformly distributed over the days of the...

    A researcher wanted to determine whether certain accidents were uniformly distributed over the days of the week. The data show the day of the week or n = 304 randomly selected accidents. Is there reason to believe that the accident occurs with equal frequency with respect to the day of the week at the α = 0.05 level of significance? B Click the icon to view the table Distribution of accidents : More accidents occur earlier in the week than...

  • Day A bicycle safety organization claims that fatal bicycle accidents are uniformly distributed throughout the week....

    Day A bicycle safety organization claims that fatal bicycle accidents are uniformly distributed throughout the week. The table on the right shows the day of the week for which 775 randomly selected fatal bicycle accidents occurred. At a = 0.10, can you reject the claim that the distribution is uniform? Complete parts a through d below. Frequency, f 109 111 105 Sunday Monday Tuesday Wednesday Thursday Friday Saturday 120 106 112 (a) State Ho and H, and identify the claim....

  • This Quiz: 6 pts possit Question Help A researcher wanted to determine whether certain accidents were...

    This Quiz: 6 pts possit Question Help A researcher wanted to determine whether certain accidents were uniformly distributed over the days of the week. The data show the day of the week for n 300 randomly selected accidents. Is there reason to believe that the accident occurs with equal frequency with respect to the day of the week at the a=0.05 level of significance? B Click the icon to view the table. Let the proportion of accidents on day I,...

  • A researcher wanted to determine whether certain extent were uniformly distributed over the days of the...

    A researcher wanted to determine whether certain extent were uniformly distributed over the days of the week the data show the day of the week for n=306 randomly selected accidents is there a reason to believe that the accident occurs with equal frequency with respect to the day of the week at the a=.05 level of significance? Day of the Week Frequency Accidents Sunday Monday Tuesday Wednesday Thursday Friday Saturday 41 41 27 45 50 62 40 Letp:= the proportion...

  • Assuming today is Friday, what day of the week will it be in 91 days from...

    Assuming today is Friday, what day of the week will it be in 91 days from today? Sunday O Monday Tuesday Wednesday ? Thursday O Friday O Saturday

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT