# Conduct the hypothesis test and provide the test statistic and the critical value and state the... 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 0.10 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 20 2 9 20 Click here to view the chi-square distribution table. The test statistic is (Round to three decimal places as needed.) The critical value is (Round to three decimal places as needed.) State the conclusion to support Ho. There sufficient evidence to warrant rejection of the claim that the four categories are equally likely. The results frequency for the first category is disproportionately high Do not reject Reject

 Category Observed Frequency (O) Proportion, p Expected Frequency (E) (O-E)2/E 0-24 31 0.25 100 * 0.25 = 25 (31 - 25)2/25 = 1.44 25-49 20 0.25 100 * 0.25 = 25 (20 - 25)2/25 = 1 50-74 29 0.25 100 * 0.25 = 25 (29 - 25)2/25 = 0.64 75-99 20 0.25 100 * 0.25 = 25 (20 - 25)2/25 = 1 Total 100 1.00 100 4.0800

Test statistic:

χ2 = ∑ ((O-E)2/E) = 4.08

df = n-1 = 3

Critical value:

χ2α = CHISQ.INV.RT(0.05, 3) = 7.815

Do not reject the null hypothesis. there is not sufficient evidence to warrant rejection of the claim.

The result does not support.

##### Add Answer to: Conduct the hypothesis test and provide the test statistic and the critical value and state the...
Similar Homework Help Questions
• ### Questor, Help Conduct the hypothesis test and provide the test statisisic, critical value and P-value, and... Questor, Help Conduct the hypothesis test and provide the test statisisic, critical value and P-value, and state the conchusion. A person randomly selected 100 checks and recorded the cents portions of those checks T the indicated values. Use a 0.10 significance level he table below lists those cents portions categorized according to to test the claim that the four categories are equally likely. The person expected that many checks for r amounts would result in a disproportionately high frequency for...

• ### please help! Conduct the hypothesis test and provide the test statistic and the critical value, and... please help! 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...

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

Conduct the hypothesis test and provide the test statistic and the critical​ value, and state the conclusion. A person drilled a hole in a die and filled it with a lead​ weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of​ 1, 2,​ 3, 4,​ 5, and​ 6, respectively: 29,32,43,39,29,28. Use a 0.10 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die...

• ### You are conducting a multinomial hypothesis test (α = 0.05) for the claim that all 5...

You are conducting a multinomial hypothesis test (α = 0.05) for the claim that all 5 categories are equally likely to be selected. Complete the table. Category Observed Frequency Expected Frequency A 10 B 5 C 21 D 14 E 8 What is the chi-square test-statistic for this data? χ2= What are the degrees of freedom for this test? d.f.= What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = Is the P-Value... A....

• ### Conduct the hypothesis test and provide the test statistic, critical value and P-value, and state the conclusion A package of 100 candies are distributed with the following color percentages 13% r... Conduct the hypothesis test and provide the test statistic, critical value and P-value, and state the conclusion A package of 100 candies are distributed with the following color percentages 13% red 20% ora ge, 15% yellow 12% br dlaimed. Use a 0.10 significance level. EEB Click the icon to view the color counts for the candy in the package Click here fo view the chi-square distribution table, 25% blue and 15% g een Use the given sa ple data to...

• ### You are conducting a multinomial hypothesis test (αα = 0.05) for the claim that all 5... You are conducting a multinomial hypothesis test (αα = 0.05) for the claim that all 5 categories are equally likely to be selected. Category Observed Frequency A 20 B 15 C 15 D 12 E 18 What is the chi-square test-statistic for this data? χ2=χ2= What are the degrees of freedom for this test? d.f. = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to)...

• ### Can someone please help me with this question? 13.1 You are conducting a multinomial hypothesis test...

Can someone please help me with this question? 13.1 You are conducting a multinomial hypothesis test (αα = 0.05) for the claim that all 5 categories are equally likely to be selected. a. Complete the table. Category Observed Frequency Expected Frequency A 11 B 9 C 22 D 7 E 11 Report all answers accurate to three decimal places. But retain unrounded numbers for future calculations. b. What is the chi-square test-statistic for this data? (Report answer accurate to three...

• ### Conduct the hypothesis test and provide the test statistic, critical value and P-value, and state the conclusion. A package of 100 candies are distributed with the following color percentages: 12% ed... Conduct the hypothesis test and provide the test statistic, critical value and P-value, and state the conclusion. A package of 100 candies are distributed with the following color percentages: 12% ed, 22% orange, 15% yellow, 10% brown, 25% blue and 16% green. Use the given sample data to test the claim that the color distribution is as claimed. Use a 0.01 significance level 囲 Click the icon to view the color counts for the candy in the package. The test...

• ### please help (number 4. 11.1) ice with Conduct the hypothesis test and provide the test statistic... please help (number 4. 11.1) ice with Conduct the hypothesis test and provide the test statistic and the critical value, and state the conclusion. A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 30, 32, 44, 39, 28, 27. Use a 0.025 significance level to test the claim that the...

• ### please provide a detailed answer, thank you! You are conducting a Goodness of Fit hypothesis test... please provide a detailed answer, thank you! You are conducting a Goodness of Fit hypothesis test for the claim that the population data values are not distributed as follows: PA = 0.1; PB = 0.4; Pc = 0.3; pp = 0.2 Give all answers as decimals rounded to 3 places after the decimal point, if necessary. (a) What are the hypotheses for this test? OH:Pa = 0.1, PB = 0.4, pc = 0.3, pp = 0.2 H: all of these...

Free Homework App