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 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 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 | 24 | 27 | 18 |[Click here to view the chi-square distribution table.]The test statistic is: [ ](Round to three decimal places as needed.)

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Description: 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

Given: N=100 Categories=4 α=0.025 Hypothesis: H0: The checks are equally distributed with the cent portion. H1: The checks are not equally distributed with the cent portion. The expected frequency is calculated by dividing the total checks (100) by the number of categories (4) and this expected frequency is assigned to all the categories. Expected frequency =100/4=25. The observed frequency and expected frequency is given below. Cent portion of the check Observed frequency Expected frequency 0-24 31 25 25-49 24 25 50-74 27 25 75-99 18 25 The chi-square value is calculated as (O1-E1)2E1=(31-25)225=1.44 Similarly, the expected value is calculated for all the values. 1.44 0.04 0.16 1.96 Test statistic X2=∑(Oi-Ei)2Ei=3.6 Test statistic value=3.6 using the excel formula "=CHISQ.DIST.RT(3.6,3)" p-value =0.308. If the p-value is greater than the significance level, there is no evidence to reject the null hypothesis. If the p-value is lesser than the significance level, the hypothesis is rejected. Conclusion: The p-value (0.308) is greater than the significance (0.025) Thus, there is no evidence to reject the null hypothesis. The checks are equally distributed with the cent portion. The result does not support the expectation that higher frequency in the first category. Since all the category is equally distributed.

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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 indicated values. Use a 0.025 significance level to test the claim that the four categories are equaly 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 Number 0-24 25-49 50-74 75-99 - 31 24 27 Click here to view the chi-square distribution table The test statistic isn (Round to three decimal places as needed.)

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 indicated values. Use a 0.025 significance level to test the claim that the four categories are equaly 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 Number 0-24 25-49 50-74 75-99 - 31 24 27 Click here to view the chi-square distribution table The test statistic isn (Round to three decimal places as needed.)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 6E: List the sample space of each experiment. Tossing three coins

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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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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 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 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 | 24 | 27 | 18 |

[Click here to view the chi-square distribution table.]

The test statistic is: [ ]

(Round to three decimal places as needed.)

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