SECOND BLANK CHOOSE:IS OR IS NOT THIRD BLANK: IS THE SAME AS EXPECtED DIFFERS FR

Question

SECOND BLANK CHOOSE:IS OR IS NOT

THIRD BLANK:

IS THE SAME AS EXPECtED

DIFFERS FRO THE EXPECTED

IS UNIFORMLY DISTRIBUTRd

IS NOT UNIFORMLY DISTRIBUTeD

A researcher claims that the number of homicide crimes by season is uniform y distributed. To test this claim, you randomly select 1,209 homicides from a recent year and record the season when each happened. The table shows the results. At a 0.01, test the researchers claim. 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? differs from the expected. O Ho is uniformly distributed O Ha is the same as the expected. Calculate the test statistic. y2 (Round to three decimal places as needed.) Determine the P-value. Season Spring Summer Fall Winter Frequency, f 307 315 299 288

Explanation / Answer

(a) H0: .....uniformly distributed

Ha:.............not uniformly distributed

(b) which hypothesis is claimed : H0

(c)

here we use chi-square test and chi-square=sum((O-E)2/E)=1.3193 with k-1=4-1=3 df

(d) p-value= 0.725 ( using ms-excel command=chidist(1.3193,3))

(e) REJECT

IS NOT

IS NOT UNIFORMLY DISTRIBUTED

season Obereved Frequency(O) Expected Frequency(E) (O-E) (O-E)2 spring 307 302.25 4.75 0.074648 summer 315 302.25 12.75 0.537841 Fall 299 302.25 -3.25 0.034946 Winter 288 302.25 -14.25 0.671836 sum= 1209 1209 0 1.319272

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