Conduct the hypothesis test and provide the test statistic, critical value and P

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 25-49 50-74 0-24 75-99 Number 65 13 10 The test statistic is Type 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 Y Ho. There Y sufficient evidence to warrant rejection of the claim that the four categories are equally likely. The results to support the expectation that the frequency for the first category is dispropo rtionately high

Explanation / Answer

applying chi square goodness of fit test:

from above test stat =85.52

critical value =6.251

p value =0.0000

reject Ho; there is sufficient............................the result appear to suppport

observed Expected Chi square cents portion Probability O E=total*p =(O-E)^2/E 0-24 0.250 65.000 25.00 64.00 25-49 0.250 13.000 25.00 5.76 50-74 0.250 10.000 25.00 9.00 75-99 0.250 12.000 25.00 6.76 1 100 100 85.5200

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