Conduct the hypothesis test and provide the test statistic and the critical valu
ID: 3364304 • Letter: C
Question
Conduct the hypothesis test and provide the test statistic and the critical 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
0.05
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
35
24
16
25
The test statistic is
nothing.
(Round to three decimal places as needed.)
The critical value is
nothing.
(Round to three decimal places as needed.)
State the conclusion.
Reject
Do not reject
Upper H 0H0.
There
is not
is
sufficient evidence to warrant rejection of the claim that the four categories are equally likely. The results
do not appear
appear
to support the expectation that the frequency for the first category is disproportionately high.
Cents portion of check
0-24
25-49
50-74
75-99
Number
35
24
16
25
Explanation / Answer
The statistical software output for this problem is:
Chi-Square goodness-of-fit results:
Observed: Number
Expected: All cells in equal proportion
Hence,
Test statistic = 7.28
Critical value = 7.815
Do not reject; is not; do not appear
N DF Chi-Square P-value 100 3 7.28 0.0635