FOR THE FIRST TWO BLANKS FOR h0 and ha select for each blank the choices listed*
ID: 3235947 • Letter: F
Question
FOR THE FIRST TWO BLANKS FOR h0 and ha select for each blank the choices listed************************
FIRST BLANK CHOOSE REJECT OR FAIL TO REJECT
SECOND BLANK CHOOSE IS OR IS NOT
LAST BLANK CHOOSE FROM
a)UNIFORMLY DISTRIBUTED
B)IS NOT UNIFORMLY DISTRIBUTED
C)DIFFERS FROM THE EXPECTED
D)IS THE SAME AS THE EXPECTED
A researcher claims that the number of homicide crimes by season is uniformly Season distributed. To test this claim you randomly select 1,195 homicides from a recent year Spring and record the season when each happened. The table shows the results. At o 0.05, Summer test the researcher's claim. Fall Winter State Ho and Ha and identify the claim. Ho: The distribution of the number of homicide crimes by season Ha: The distribution of the number of homicide crimes by season is not uniformly distributed. Which hypothesis is the claim? is uniformly distributed. n H. differs from the expected. Click to select your answer(s). is the same as the expected. Frequency, f 302 311 293 289
Explanation / Answer
Ho: The distribution of the number of homicide crimes season is uniformly distributed.
Ha: The distribution of the number of homicide crimes by season is not uniformly distributed.
Claim: Ho
Test Statistics:
X^2 = S (Oi – Ei)^2 / Ei
Oi = Observed values
Ei = Expected values
Oi: 302 311 293 289
Ei: (302+311+293+289)/4 = 298.75
Oi
302
311
293
289
1195
Ei
298.75
298.75
298.75
298.75
Oi - Ei
3.25
12.25
-5.75
-9.75
(Oi -Ei)^2
10.5625
150.0625
33.0625
95.0625
(Oi - Ei)^2/Ei
0.035
0.502
0.111
0.318
0.967
X^2 = 0.967
P-value (excel formula) = chidist(0.967,3)
= 0.809
P-value = 0.809
Here p-value is more than the level of significance; we fail to reject the null hypothesis.
Fail to reject Ho. There is not enough evidence at the 5% level of significance to reject the claim that the distribution of the number of homicide crimes by season is the same as the expected.
Oi
302
311
293
289
1195
Ei
298.75
298.75
298.75
298.75
Oi - Ei
3.25
12.25
-5.75
-9.75
(Oi -Ei)^2
10.5625
150.0625
33.0625
95.0625
(Oi - Ei)^2/Ei
0.035
0.502
0.111
0.318
0.967
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.