Conduct the hypothesis test and provide the test statistic, critical value and P-Value, and state the conclusion. A person randomly selected 100 credit card purchases and recorded the cents portions of those amounts. 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 the whole dollar amounts would result in disproportionately high frequency for the first category, but do the results support that expectation?
Data set:
Cents portion 0-24 25-49 50-74 75-99
Number 56 18 14 12
Show all work:
The test statistic is __. (Round to three decimal places as needed).
The critical value is __. (round to 3 decimal places as needed).
The P-value is __. (Round to 4 decimal places a needed).
State the conclusion:
___ H 0 (below right). There ___ sufficient evidence to warrant rejection of the claim that the 4 categories are equally likely. The results ___ to support the expectation that the frequency for the first category is disproportionately high.