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 781 randomly selected fatal bicycle accidents occurred. At α=0.01 can you reject the claim that the distribution is uniform? Complete parts a through d below.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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 781 randomly selected fatal bicycle accidents occurred. At α=0.01 can you reject the claim that the distribution is uniform? Complete parts a through d below. |
![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 781 randomly selected fatal bicycle accidents
occurred. At a = 0.01, can you reject the claim that the distribution is uniform? Complete parts a through d
Day
Frequency, f
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
107
113
below.
106
110
123
104
118
(a) State H, and H, and identify the claim.
Ho: The distribution of fatal bicycle accidents throughout the week is
Ha: The distribution of fatal bicycle accidents throughout the week is
Which hypothesis is the claim?
Ho
На
(b) Determine the critical value, Xo, and the rejection region.
2
(Round to three decimal places as needed.)
%3D
Choose the correct rejection region below.
2
2
O A. X <x6
O B.
B. X 2Xo
2
2
2
2
OC. X >Xo
O D. X <Xo
(c) Calculate the test statistic.
2
(Round to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.
Ho. At the 1% significance level, there
enough evidence to reject the claim that the distribution of fatal bicycle accidents thoughout the week is uniform.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00bc17ac-5ebc-4c8c-a88a-5acc06f9605b%2F81c19cb3-74a9-43a6-a3c4-bcf1714790ae%2F27hiyi8_processed.png&w=3840&q=75)
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