Question

Conduct the hypothesis test and provide the test statistic and the critical 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 ated 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? 25-49 75-99 Cents portion of check Number 0-24 50-74 27 19 32 22 Click here to view the chi-square distribution table The test statistic is 3.920 (Round to three decimal places as needed.) The critical value is 0.270. (Round to three decimal places as needed.)

0.270 is WRONG, Please provide correct answer.

Answer 1

Answer

Number of categories(k) = 4

degree of freedom = k-1

= 4-1

= 3

significance level = 0.10

using the given table, check 3 in the left most column and 0.10 in the top row

then select the intersecting cell

we get

critical value = 6.251 (rounded to 3 decimals)