In: Statistics and Probability
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 |
31 |
23 |
26 |
20 |
Click here to view the chi-square distribution table.
LOADING...
The test statistic is
nothing.
(Type an integer or a decimal.)The critical value is
nothing.
(Round to three decimal places as needed.)The P-value is
nothing.
(Round to four decimal places as needed.)
State the conclusion.
▼
Reject
Do not reject
H0.
There
▼
is
is not
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.