Question

6. (5 points) Perform the goodness of fit test at a .05 for a distribution that follows; P,-.3, p2-25, p,-2, p,-. 15, ps .06,
0 0
Add a comment Improve this question Transcribed image text
Answer #1

a) Its is a one-tailed test.

b) Null and Alternative hypothesis:

H0 ​: p1​=0.3, p2​=0.25, p3​=0.2, p4​=0.15, p5​=0.06, p6​=0.04

Ha ​: Some of the population proportions differ from the values stated in the null hypothesis.

c) Table:

Categories Observed Expected (fo-fe)2/fe
1 50 525*.3=157.5 (50-157.5)2/157.5 = 73.373
2 405 525*.25=131.25 (405-131.25)2/131.25 = 570.964
3 30 525*.2=105 (30-105)2/105 = 53.571
4 20 525*.15=78.75 (20-78.75)2/78.75 = 43.829
5 10 525*.06=31.5 (10-31.5)2/31.5 = 14.675
6 10 525*.04=21 (10-21)2/21 = 5.762
Sum = 525 525 762.175

Test statistic:

\chi^2 =\frac{(f_o-f_e)^2}{f_e} = \textbf{762.175}

df = 6-1 =5

p-value = CHISQ.RT(762.175, 5) = 0.0000

d) As p-value =0 <0.01, we reject the null hypothesis.

Graph:

0.20 0.15 0.05 00) 6.0 11.0 13.5 16.0 1.0 3.5 8.5

the p -value is very small we can not see it in the graph.

e) At 0.01 significance level there is enough evidence to claim that some of the population proportions differ from the values stated in the null hypothesis

----------------------

Note: i think your data is wrong. the test statistic value is not suppose to be this large.

if any doubt ask in comments.

Add a comment
Know the answer?
Add Answer to:
6. (5 points) Perform the goodness of fit test at a .05 for a distribution that...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Goodness of Fit Test Perform the Goodness-of-Fit Test 1) Perform the indicated goodness-of-fit test. A company...

    Goodness of Fit Test Perform the Goodness-of-Fit Test 1) Perform the indicated goodness-of-fit test. A company manager wishes to test a union leader's claim that absences occur on the different week days with the same frequencies. Test this claim at the 0.05 level of significance if the following sample data have been compiled. Day Mon Tue Wed Thurs Fri Absences 37 15 12 23 43 Step 1: Ho: H Step 2: Significance level is Step 3: Test Statistics Step 4:...

  • 1. Perform the indicated goodness-of-fit test. Use a significance level of 0.01 to test the claim...

    1. Perform the indicated goodness-of-fit test. Use a significance level of 0.01 to test the claim that workplace accidents are distributed on workdays as follows: Monday 25%, Tuesday: 15%, Wednesday: 15%, Thursday: 15%, and Friday: 30%. In a study of 100 workplace accidents, 26 occurred on a Monday, 15 occurred on a Tuesday, 17 occurred on a Wednesday, 17 occurred on a Thursday, and 25 occurred on a Friday. a. test statistic. b. critical value 2. Perform the indicated goodness-of-fit...

  • 1. Perform the indicated goodness-of-fit test. A company manager wishes to test a union leader's claim...

    1. Perform the indicated goodness-of-fit test. A company manager wishes to test a union leader's claim that absences occur on the different week days with the same frequencies. Test this claim at the 0.05 level of significance if the following sample data have been compiled. a. test statistic b. critical value 2.Perform the indicated goodness-of-fit test. In studying the responses to a multiple-choice test question, the following sample data were obtained. At the 0.05 significance level, test the claim that...

  • 1. Perform the indicated goodness-of-fit test. Using the data below and a 0.05 significance level, test the claim that...

    1. Perform the indicated goodness-of-fit test. Using the data below and a 0.05 significance level, test the claim that the responses occur with percentages of 15%, 20%, 25%, 25%, and 15% respectively. a. test statistic b. critical value 2.Perform the indicated goodness-of-fit test. In studying the responses to a multiple-choice test question, the following sample data were obtained. At the 0.05 significance level, test the claim that the responses occur with the same frequency. a. test statistic b. critical value

  • Perform the indicated goodness-of-fit test. Fill in the table below to find the test statistic. 9)...

    Perform the indicated goodness-of-fit test. Fill in the table below to find the test statistic. 9) In studying the responses to a multiple-choice test question, the following sample data were obtained. At the 0.05 significance level, test the claim that the responses occur with the same frequency A. Classical method with Chi-square statistic (0-E) (0-E)^2 [(O-E)^2]/E Response A B C D E Frequency 12 15 16 18 19 RESPONSE o E A 12 В 15 16 C 16 D 18...

  • A chi-square for goodness of fit hypothesis test was conducted using an alpha of .05. The...

    A chi-square for goodness of fit hypothesis test was conducted using an alpha of .05. The resulting chi-square was as follows: X2(2, n = 30) = 4.20, p > .05. Find the critical value. What decision was made regarding the null hypothesis?

  • Perform the indicated goodness-of-fit test. You roll a die 48 times with the following results. a....

    Perform the indicated goodness-of-fit test. You roll a die 48 times with the following results. a. test statistic b. critical value Use a significance level of 0.05 to test the claim that the die is fair.

  • A test of goodness-of-fit for a multinomial distribution where Ho: p1=.2, p2=.5, p3=.3 results in a...

    A test of goodness-of-fit for a multinomial distribution where Ho: p1=.2, p2=.5, p3=.3 results in a the x2 statistic equals 6.7, at a=.05 you should conclude: Group of answer choices A. The sample is uniformly distributed. B. The sample is normally distributed. C. There is no evidence against the hypothesized multinomial distribution. D. There is evidence that the sample does not come from the hypothesized multinomial distribution.

  • Test the following hypotheses by using the x goodness of fit test. HO: pA = 0.40,...

    Test the following hypotheses by using the x goodness of fit test. HO: pA = 0.40, pB = 0.40, and pc = 0.20 Ha: The population proportions are not PA 0.40, PB 0.40, and Pc-0.20 A sample of size 200 yielded 40 in category A 140 in category B, and 20 in category C. Use a 1 and test to see whether the proportions are as stated n·。 (a) Use the p-value approach. Find the value of the test statistic....

  • Use α = 0.01 and conduct a goodness of fit test using 5 classes to see...

    Use α = 0.01 and conduct a goodness of fit test using 5 classes to see whether the following sample appears to have been selected from a normal probability distribution. (Note: x = 70 and s = 18.) 55 86 94 58 55 95 55 52 69 95 90 65 87 50 56 55 57 98 58 79 92 62 59 88 40 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.)...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT