Question

In: Statistics and Probability

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

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

​0-24

​25-49

​50-74

​75-99

Number

31

23

26

20

Click here to view the chi-square distribution table.

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The test statistic is

nothing.

​(Type an integer or a​ decimal.)The critical value is

nothing.

​(Round to three decimal places as​ needed.)The​ P-value is

nothing.

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

State the conclusion.

Reject

Do not reject

H0.

There

is

is not

sufficient evidence to warrant rejection of the claim that the four categories are equally likely. The results

do not appear

appear

to support the expectation that the frequency for the first category is disproportionately high.

Solutions

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