Question

A complex is divided into two​ parts: Section A and Section B. The plaintiffs in a...

A complex is divided into two​ parts: Section A and Section B. The plaintiffs in a lawsuit claimed that white potential renters were steered to section​ A, while black renters were steered to section B. The table displays the locations of recently rented apartments. Do you think there is evidence of a racial​ bias? Assume the conditions for inference are satisfied. Complete parts a through c.

​NOTE: With​ respect, this data can be considered sensitive to some​ individuals, but the intent of this question is to better understand some aspects of a relevant social issue in society through the use of​ science; in this​ case, statistical analysis. Please keep in this mind as you complete the question.

White Black Total
Section A 87 14 101
Section B 100 37 137

Total 187 51 238

a) Perform a​ chi-square test of homogeneity to determine if there is evidence that blacks are less likely to rent in section A than in section B.

What is the value of the test statistic

chi squared χ2 = ?

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

What is the​ P-value of the​ chi-square test of​homogeneity?

​P-value = ?

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

b) You can also check the data for evidence of racial bias using​ two-proportion z procedures.

Find the​ z-value for this approach.

z = ?

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

What is the​ P-value of the​ two-proportion z-test?

​P-value = ?

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

Homework Answers

Answer #1

a)

Applying chi square test of independence:
Expected Ei=row total*column total/grand total white Black Total
Section A 79.3571 21.6429 101.00
Section B 107.6429 29.3571 137.00
total 187.00 51.00 238.00
chi square    χ2 =(Oi-Ei)2/Ei white Black Total
Section A 0.736 2.699 3.4350
Section B 0.543 1.990 2.5324
total 1.2787 4.6887 5.967
test statistic X2 = 5.967

from excel: p value =chidist(5.967,1) =0.015

b)

z =sqrt(X2) =2.44

p value =0.015

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A complex is divided into two​ parts: Section A and Section B. The plaintiffs in a...
A complex is divided into two​ parts: Section A and Section B. The plaintiffs in a lawsuit claimed that white potential renters were steered to section​ A, while black renters were steered to section B. The table displays the locations of recently rented apartments. Do you think there is evidence of a racial​ bias? Assume the conditions for inference are satisfied. Complete parts a through c. ​NOTE: With​ respect, this data can be considered sensitive to some​ individuals, but the...
A complex is divided into two​ parts: Section A and Section B. The plaintiffs in a...
A complex is divided into two​ parts: Section A and Section B. The plaintiffs in a lawsuit claimed that white potential renters were steered to section​ A, while black renters were steered to section B. The table displays the locations of recently rented apartments. Do you think there is evidence of a racial​ bias? Assume the conditions for inference are satisfied. Complete parts a through c. ​NOTE: With​ respect, this data can be considered sensitive to some​ individuals, but the...
Tenants at a large apartment complex recently filed a lawsuit alleging racial steering. The plaintiffs claimed...
Tenants at a large apartment complex recently filed a lawsuit alleging racial steering. The plaintiffs claimed that white potential renters were steered to Section A, while black renters were steered to Section B. The table displays the data that were presented in court to show the locations of recently rented apartments. Do you think there is evidence of racial steering? Section A: White=77 Black=15 Section b: White=81 Black=36 a. State the null and alternative hypotheses b. compute the chi-square statistic...
Perform a​ chi-square homogeneity test. An independent simple random sample of residents in three regions gave...
Perform a​ chi-square homogeneity test. An independent simple random sample of residents in three regions gave the data on race shown in the table. At the 1 %1% significance​ level, do the data provide sufficient evidence to conclude that a difference exists in race distributions among the three​ regions? White Black Other Total East 97 10 8 115 Midwest 116 17 4 137 West 117 15 13 145 Total 330 42 25 397 What are the null and alternative​ hypotheses?...
Consider the hypotheses shown below. Given that x=41​, σ=11​, n=32​, α=0.05​, complete parts a and b....
Consider the hypotheses shown below. Given that x=41​, σ=11​, n=32​, α=0.05​, complete parts a and b. H0​:μ ≤ 38 H1​: μ > 38 a. What conclusion should be​ drawn? b. Determine the​ p-value for this test. a. The​ z-test statistic is What? . ​(Round to two decimal places as​ needed.) The critical​ z-score(s) is(are) What? . ​(Round to two decimal places as needed. Use a comma to separate answers as​ needed.) Because the test statistic ▼ (is greater than the...
Suppose that a random sample of 100 men between the ages of 25 and 54 was...
Suppose that a random sample of 100 men between the ages of 25 and 54 was selected and it was found that 84 were currently working. A similar sample of 100 women was selected and 70 were working. Complete parts a and b below. a. Using alphaequals 0.10?, can it be concluded that the proportion of men in this age group who are working differs from the proportion of women who are? working? What is the test? statistic? chi squaredequals...
A study was conducted to determine the proportion of people who dream in black and white...
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 299 people over the age of 55, 61dream in black and white, and among 287 people under the age of 25, 10 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts...
According to an exit poll for an? election, 55.1?% of the sample size of 839 reported...
According to an exit poll for an? election, 55.1?% of the sample size of 839 reported voting for a specific candidate. Is this enough evidence to predict who? won? Test that the population proportion who voted for this candidate was 0.50 against the alternative that it differed from 0.50. a. Report the test statistic and? P-value z=? ?(Round to two decimal places as? needed.) ?P-value=? ?(Round to three decimal places as? needed.)
The following table shows site type and type of pottery for a random sample of 628...
The following table shows site type and type of pottery for a random sample of 628 sherds at an archaeological location. Pottery Type Site Type Mesa Verde Black-on-White McElmo Black-on-White Mancos Black-on-White Row Total Mesa Top 72 64 53 189 Cliff-Talus 85 75 53 213 Canyon Bench 90 72 64 226 Column Total 247 211 170 628 Use a chi-square test to determine if site type and pottery type are independent at the 0.01 level of significance. Find the value...
Consider the hypotheses shown below. Given that x overbarequals113​, sigmaequals27​, nequals46​, alphaequals0.01​, complete parts a and...
Consider the hypotheses shown below. Given that x overbarequals113​, sigmaequals27​, nequals46​, alphaequals0.01​, complete parts a and b. Upper H 0​: muequals120 Upper H 1​: munot equals120 a) The​ z-test statistic is? (Round to two decimal places as​ needed.) b)The critical​ z-score(s) is(are) ? (Round to two decimal places as​ needed.) C)Reject or fail to reject, why or why not? D)p-value? (Round to four decimal places as​ needed.)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT