subject
Mathematics, 13.03.2020 19:47 veneciaconton347

After a large fund drive to help the Boston City Library, the following information was obtained from a random sample of contributors to the library fund. Using a 1% level of significance, test the claim that the amount contributed to the library fund is independent of ethnic group.

Number of People Making Contribution
Ethnic Group $1-50 $51-100 $101-150 $151-200 Over $200 Row Total
A 77 63 54 39 18 251
B 90 48 76 26 24 264
C 73 67 59 37 30 266
D 108 82 70 50 30 340
Column Total 348 260 259 152 102 1121

(a) What is the level of significance?

State the null and alternate hypotheses.

H0: Contribution level and ethnic group are not independent.
H1: Contribution level and ethnic group are independent. H0: Contribution level and ethnic group are not independent.
H1: Contribution level and ethnic group are not independent. H0: Contribution level and ethnic group are independent.
H1: Contribution level and ethnic group are not independent. H0: Contribution level and ethnic group are independent.
H1: Contribution level and ethnic group are independent.

(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)

Are all the expected frequencies greater than 5?

Yes No

What sampling distribution will you use?

normal uniform Student's t chi-square binomial

What are the degrees of freedom?

(c) Find or estimate the P-value of the sample test statistic. (Round your answer to three decimal places.)

p-value > 0.100 0.050 < p-value < 0.100 0.025 < p-value < 0.050 0.010 < p-value < 0.025 0.005 < p-value < 0.010 p-value < 0.005

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis of independence?

Since the P-value > α, we fail to reject the null hypothesis. Since the P-value > α, we reject the null hypothesis. Since the P-value ≤ α, we reject the null hypothesis. Since the P-value ≤ α, we fail to reject the null hypothesis.

(e) Interpret your conclusion in the context of the application.

At the 1% level of significance, there is sufficient evidence to conclude that contribution level and ethnic group are not independent. At the 1% level of significance, there is insufficient evidence to conclude that contribution level and ethnic group are not independent.

ansver
Answers: 2

Another question on Mathematics

question
Mathematics, 21.06.2019 13:00
If a and b are the measures of two first quadrant angles and sin a = 4/9 and sin b = 2/5 find sin(a+b).
Answers: 1
question
Mathematics, 21.06.2019 21:00
How do i put 3(x+7) in distributive property
Answers: 1
question
Mathematics, 21.06.2019 22:00
The figure shows the front side of a metal desk in the shape of a trapezoid. what is the area of this trapezoid? 10 ft²16 ft²32 ft²61 ft²
Answers: 2
question
Mathematics, 21.06.2019 22:30
Which statements about the system are true? check all that apply. y =1/3 x – 4 3y – x = –7 the system has one solution. the system consists of parallel lines. both lines have the same slope. both lines have the same y–intercept. the equations represent the same line. the lines intersect.
Answers: 2
You know the right answer?
After a large fund drive to help the Boston City Library, the following information was obtained fro...
Questions
question
Mathematics, 21.03.2021 01:40
question
Biology, 21.03.2021 01:40
question
Biology, 21.03.2021 01:40
question
Mathematics, 21.03.2021 01:50
question
Mathematics, 21.03.2021 01:50