MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Question
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:HoHo : pA=0.3pA=0.3; pB=0.15pB=0.15; pC=0.4pC=0.4; pD=0.15pD=0.15
Complete the table. Report all answers accurate to three decimal places.
Category | Observed Frequency |
Expected Frequency |
Residual |
---|---|---|---|
A | 31 | ||
B | 9 | ||
C | 45 | ||
D | 15 |
What is the chi-square test-statistic for this data?
χ2=
For significance level alpha 0.1, what is the chi-square Critical Value?
Critical Value =
What would be the conclusion of this hypothesis test?
- Reject the Null Hypothesis
- Fail to reject the Null Hypothesis
Report all answers accurate to three decimal places.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 5 steps with 4 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Given the 4 categories and distribution, apply the Goodness-of-fit test for the claim that the 4 categories occur with the following distribution: Ho: PA=0.3: PB Category A B C D 0.1: pc = 0.1; PD = 0.5 Observed Expected Frequency Frequency 34 6 8 54 a. Complete the table for the expected frequencies. b. What is the chi-square test statistic for this data? Round to three decimal places. x² = c. What is the p-value? Round to four decimal places. p-value = d. Testing the claim at a a = 0.05 significance level, what would be the conclusion of this hypothesis test? O Fail to reject the Null Hypothesis. O Reject the Null Hypothesis.arrow_forwardSince an instant replay system for tennis was introduced at a major tournament, men challenged 1402 referee calls, with the result that 430 of the calls were overturned. Women challenged 744 referee calls, and 212 of the calls were overturned. Use a 0.01 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of male tennis players who challenged referee calls and the second sample to be the sample of female tennis players who challenged referee calls. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P1 P2 H₁: P₁ = P₂ OD. Ho: P1 = P2 H₁: P₁ P2 Identify the test statistic. O B. Ho: P1 P2 H₁: P1 P2 E. Ho: P1 = P2 H₁: P₁ P2 OC. Ho: P1 P2 H₁: P1 P2 OF. Ho: P1 H₁: P1 P2 P2arrow_forwardIf the sample data produce a test statistic (z-score) that is in the critical region, then which of the following is the appropriate conclusion for the test? O reject H₁ O fail to reject H₁ O fail to reject Ho O reject Hoarrow_forward
- A magazine reported that at the top 50 business schools in a region, students studied an average of 13.3 hours. Set up a hypothesis test to try to prove that the mean number of hours studied at your school is different from the reported 13.3 hour benchmark. Complete parts (a) through (c) below. O E. H X#13.3 H: X= 13.3 P. Ho p=13.3 H, p#13.3 O G. H, p= 13.3 H, X+13.3 OH. H, p#13.3 H, p=13.3 OL H a 13.3 H: a = 13.3 O J. Ho a= 13.3 H a# 13.3 O K. H, p# 13.3 H1: X= 13.3 OL Ho B#13.3 H B= 13.3 b. What is a Type I error for your test? A. Concluding that the mean number of hours studied at your school is different from the reported 13.3 hour benchmark when in fact it is not different O B. Concluding that the mean number of hours studied at your school is different from the reported 13.3 hour benchmark when in fact it is different C. Concluding that the mean number of hours studied at your school is not different from the reported 13.3 hour benchmark when in fact it is different c. What is a…arrow_forwardWhat is the cut off score on a Chi-Square distribution in a Goodness of Fit Chi Square Test when the variable has 6 categories and a sample size of 20? Assume a significance level=.05. a. 5 b. 12.59 c. 6 d. 11.0arrow_forwardwhich of the following sample data: sample size= 100 sample mean= 340z/hr sample variance= 90z/ hr construct a 98% confidence interval for μ. the population mean is what?arrow_forward
- The color distribution of plain M&Ms are claimed to be 18% green, 22% orange, 18% yellow, 22% blue, 10% red, and 10% brown. Test the claim at the 0.05 significance level. Complete the table. Round all answers to three decimal places. Expected Frequency Frequency Observed Category Residual green 19 orange 12 yellow 11 blue 45 red 11 brown 9 Ho: Pgreen = 0.18; Porange = 0.22; Pyellow = 0.18; Pblue = 0.22; Pred = 0.1; Pbrown = 0.1 Hj: at least one is different %3D Original claim = Select an answer varrow_forwardIf a researcher wants to conduct a two-tailed single sample + test with data from 30 participants and an alpha level of 0.05, what is the correct critical value? a. 2.043 b. 1699 c. 2045 d. 1.698arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman