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 0.10 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 61 18 11 10 The test statistic is .(rype 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 as needed.) State the conclusion. v sufficient evidence to warrant rejection of the claim that the four categories are equally likely. Ho. There v to support the expectation that the frequency for the first category is disproportionately high The results

Explanation / Answer

Cents portion of check

Observed

Expected

(Observed-Expected)

(Observed-Expected)^2

(Observed-Expected)^2/Expected

0-24

61

25

36

1296

51.84

25-49

18

25

-7

49

1.96

50-74

11

25

-14

196

7.84

75-99

10

25

-15

225

9

c2 test

70.64

Critical value is 6.25 and p-value is < 0.00001. Hence, reject the null hypothesis. is not, appear.

Cents portion of check

Observed

Expected

(Observed-Expected)

(Observed-Expected)^2

(Observed-Expected)^2/Expected

0-24

61

25

36

1296

51.84

25-49

18

25

-7

49

1.96

50-74

11

25

-14

196

7.84

75-99

10

25

-15

225

9

c2 test

70.64

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.