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 liststhose cents portions categorized according to the indicated values. Use a 0.10 significance level to test the claimthat 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 51 20 17 12

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.

State the conclusion

Reject, do not reject H0. There( is, isnot) sufficient evidence to warrant rejection of the claim that the four categoties are equally likely. The results ( do not appear,appear) to support the expectation that the frequency for the first category is disproportionately high.

Explanation / Answer

test stat =37.36

for 3 degree of freedom and 0.1 level critical value =6.251

p value =0.0000

Reject,  H0. There( is sufficient evidence to warrant rejection of the claim that the four categoties are equally likely.

The results ,appear) to support the expectation that the frequency for the first category is disproportionately high.

observed Expected Chi square Probability O E=total*p =(O-E)^2/E 0-25 0.250 51.000 25.00 27.04 25-49 0.250 20.000 25.00 1.00 50-74 0.250 17.000 25.00 2.56 75-99 0.250 12.000 25.00 6.76 1 100 100 37.3600

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