John P Stevens High School Statistics Worksheet

Description

2 attachments

Slide 1 of 2

attachment_1

attachment_1
attachment_2

attachment_2

Unformatted Attachment Preview

Homework 5
Students in rural, suburban and urban schools were asked whether good grades, athletic ability, or popularity
was most important to them. A two-way table separating the students by area and by choice of most important
factor is shown below. Using alpha = 0.005, is there a relationship between area and most important goals?
Goals
Grades
Popularity
Sports
Total
Rural
57
50
42
Suburban
87
42
22
Urban
24
6
5
Total
Suburban
Urban
Total
Define Null and Alternative Hypothesis
H0 :
H1 :
State Alpha
Calculate Degrees of Freedom
State Decision Rule
If x2 is greater than alculate Test Statistic
Expected values:
Goals
Grades
Popularity
Sports
Total
!
Rural
(???????????????? ? ????????????????)!
????????????????
Find x2 =
Results
??????
!
(?? ? ??)!
??
Homework 5
A public opinion poll surveyed a simple random sample of 100 voters. Respondents were classified by gender
(male or female) and by voting preference (Republican, Democrat, or Independent). Results are shown in the
table below. Using alpha = 0.005, is there a relationship between Gender and Voting Preferences?
Male
Female
Total
Republican
200
250
450
Democrat
150
300
450
Independent
50
50
100
Total
400
600
1000
Independent
50 (40)
50 (60)
100
Total
400
600
1000
Define Null and Alternative Hypothesis
H0 :
H1 :
State Alpha: .005
Calculate Degrees of Freedom 2
State Decision Rule
If x2 is greater than 10.597
Calculate Test Statistic (use two decimal places)
Expected values:
Male
Female
Total
!
Republican
200 (180)
250 (270)
450
(???????????????? ? ????????????????)!
????????????????
Democrat
150 (180)
300 (270)
450
??????
!
(?? ? ??)!
??
E1,1 = (400 * 450) / 1000 = 180000/1000 = 180
E1,2 = (400 * 450) / 1000 = 180000/1000 = 180
E1,3 = (400 * 100) / 1000 = 40000/1000 = 40
E2,1 = (600 * 450) / 1000 = 270000/1000 = 270
E2,2 = (600 * 450) / 1000 = 270000/1000 = 270
E2,3 = (600 * 100) / 1000 = 60000/1000 = 60
Find x2 = 16.2
?2 = (200 – 180)2/180 + (150 – 180)2/180 + (50 – 40)2/40 + (250 – 270)2/270 + (300 – 270)2/270 + (50 – 60)2/60
?2 = 2.22 + 5.00 + 2.50 + 1.48 + 3.33 + 1.67 = 16.2
Results: REJECT THE NULL HYPOTHESIS ENDER AND VOTING PREFERENCES ARE RELATED
The Chi-Square Distribution

Purchase answer to see full
attachment

Explanation & Answer:

3 pages

User generated content is uploaded by users for the purposes of learning and should be used following our honor code & terms of service.



^{Have a similar assignment? "Place an order for your assignment and have exceptional work written by our team of experts, guaranteeing you A results."}

Our Service Charter

1. Professional & Expert Writers: Eminence Papers only hires the best. Our writers are specially selected and recruited, after which they undergo further training to perfect their skills for specialization purposes. Moreover, our writers are holders of masters and Ph.D. degrees. They have impressive academic records, besides being native English speakers.

2. Top Quality Papers: Our customers are always guaranteed of papers that exceed their expectations. All our writers have +5 years of experience. This implies that all papers are written by individuals who are experts in their fields. In addition, the quality team reviews all the papers before sending them to the customers.

3. Plagiarism-Free Papers: All papers provided by Eminence Papers are written from scratch. Appropriate referencing and citation of key information are followed. Plagiarism checkers are used by the Quality assurance team and our editors just to double-check that there are no instances of plagiarism.

4. Timely Delivery: Time wasted is equivalent to a failed dedication and commitment. Eminence Papers are known for the timely delivery of any pending customer orders. Customers are well informed of the progress of their papers to ensure they keep track of what the writer is providing before the final draft is sent for grading.

5. Affordable Prices: Our prices are fairly structured to fit in all groups. Any customer willing to place their assignments with us can do so at very affordable prices. In addition, our customers enjoy regular discounts and bonuses.

6. 24/7 Customer Support: At Eminence Papers, we have put in place a team of experts who answer all customer inquiries promptly. The best part is the ever-availability of the team. Customers can make inquiries anytime.