Conduct the hypothesis test and provide the test statistic, critical value and P
ID: 3220881 • Letter: C
Question
Conduct the hypothesis test and provide the test statistic, critical value and P-value, and state the conclusion. A person randomly selected 100 checks and recorded the cents portions of those checks. The table below lists those cents portions categorized according to the indicated values. Use a 0.10 significance level to test the claim that the four categories are equally likely. The person expected that many checks for whole dollar amounts would result in a disproportionately high frequency for the first category, but do the results support that expectation? Cents portion of check 0-24 25-49 50-74 75-99 Number 61 18 11 10 The test statistic is .(rype an integer or a decimal) The critical value is (Round to three decimal places as needed.) The P-value is (Round to four decimal places as needed.) State the conclusion. v sufficient evidence to warrant rejection of the claim that the four categories are equally likely. Ho. There v to support the expectation that the frequency for the first category is disproportionately high The resultsExplanation / Answer
Cents portion of check
Observed
Expected
(Observed-Expected)
(Observed-Expected)^2
(Observed-Expected)^2/Expected
0-24
61
25
36
1296
51.84
25-49
18
25
-7
49
1.96
50-74
11
25
-14
196
7.84
75-99
10
25
-15
225
9
c2 test
70.64
Critical value is 6.25 and p-value is < 0.00001. Hence, reject the null hypothesis. is not, appear.
Cents portion of check
Observed
Expected
(Observed-Expected)
(Observed-Expected)^2
(Observed-Expected)^2/Expected
0-24
61
25
36
1296
51.84
25-49
18
25
-7
49
1.96
50-74
11
25
-14
196
7.84
75-99
10
25
-15
225
9
c2 test
70.64