A bicycle safety organization claims that fatal bicycle accidents are uniformly
ID: 3242993 • Letter: A
Question
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 782 randomly selected fatal bicycle accidents occurred. At alpha = 0.10, can you reject the claim that the distribution is uniform? Complete parts a through d below. (a) State H_0 and H_a and identify the claim. H_0: The distribution of fatal bicycle accidents throughout the week is H_a: The distribution of fatal bicycle accidents throughout the week is Which hypothesis is the claim? H_0 H_a (b) Determine the critical value, chi^2_0, and the rejection region. chi^2_0 = (Round to three decimal places as needed.) Choose the correct rejection region below. A. chi^2 greaterthanorequalto chi^2_0 B. chi^2 > chi^2_0 C. chi^2 lessthanorequalto chi^2_0 D. chi^2Explanation / Answer
The statistical software output for this problem is:
Chi-Square goodness-of-fit results:
Observed: Frequency, f
Expected: All cells in equal proportion
Hence,
a) Ho: Uniform
Ha: Not uniform
Ho is the claim.
b) Degrees of freedom = 7 - 1 = 6
So,
Critical value = 10.645
Rejection Region: Option B is correct.
c) Test statistic = 2.465
d) Do not reject; is not
N DF Chi-Square P-value 782 6 2.4654731 0.8723Related Questions
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