Conduct the hypothesis test and provide the test statistic and the critical​ value, and state the conclusion. A person purchased a slot machine and tested it by playing it 1,161 times. There are 10...

Conduct the hypothesis test and provide the test statistic and the critical​ value, and state the conclusion.

A person purchased a slot machine and tested it by playing it 1,161 times. There are 10 different categories of​ outcomes, including no​ win, win​ jackpot, win with three​bells, and so on. When testing the claim that the observed outcomes agree with the expected​ frequencies, the author obtained a test statistic of χ2=21.068. Use a 0.025 significance level to test the claim that the actual outcomes agree with the expected frequencies. Does the slot machine appear to be functioning as​ expected?

​(Type an integer or a decimal. Do not​ round.)

The critical value is ___

​(Round to three decimal places as​ needed.)

State the conclusion.

(reject/do not reject) H₀. There (is not/is) sufficient evidence to warrant rejection of the claim that the observed outcomes agree with the expected frequencies. The slot machine (does not appear/appears) to be functioning as expected.