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 0.025 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 frequendc for the first category, but do the results support that expectation? Cents portion of check Number 0-24 35 25-49 24 50-74 21 75-99 20 The test statisticis (Type an integer or a decimal.) The critical value is 3 (Round to three decimal places as needed) The P-value is 9.348 (Round to four decimal places as needed.) State the conclusion. Ho. Theresufficient 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 disproportionately high

Explanation / Answer

The statistical software output of this problem is:

Chi-Square goodness-of-fit results:
Observed: Oi
Expected: All cells in equal proportion

Hence,

Test statistic = 5.68

Critical value = 9.348

p - Value = 0.1283

Do not reject; is not; do not appear

N DF Chi-Square P-value 100 3 5.68 0.1283

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