MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Related questions
Concept explainers
Topic Video
Question
Suppose the results indicate that the null hypothesis should be rejected; thus, it is possible that a type I error has been committed.
Given the type of error made in this situation, what could researchers do to reduce the risk of this error?
- Choose a 0.01 significance level, instead of a 0.05 significance level.
- Increase the
sample size .
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 2 steps
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
- Test the claim that the proportion of men who own cats is significantly different than 40% at the 0.01 significance level.The null and alternative hypothesis would be: H0:μ=0.4 H0:μ=0.4, H1:μ≠0.4 H1:μ≠0.4, H0:μ=0.4 H0:μ=0.4, H1:μ<0.4 H1:μ<0.4, H0:p=0.4 H0:p=0.4, H1:p≠0.4 H1:p≠0.4 H0:p=0.4 H0:p=0.4, H1:p>0.4 H1:p>0.4, H0:μ=0.4 H0:μ=0.4H1:μ>0.4 H1:μ>0.4, H0:p=0.4 H0:p=0.4, H1:p<0.4 H1:p<0.4 The test is: right-tailed left-tailed two-tailed Based on a sample of 25 people, 32% owned catsThe test statistic is: (to 2 decimals)The positive critical value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesisarrow_forwardIt is claimed that, on average, enrollment in a statistics course improves students' understanding of the subject. A random sample of fifteen students is tested on this subject before and after their successful completion of such a course. Which statistical method would be appropriate to analyze these data? Student's t-test for paired samples Analysis of Variance OTWO-Sample Student's t-test Chi-Square test Mann-Whitney Testarrow_forwardIn the US, 44.5% of all people have type O blood, 39.3% have type A blood, 11.5% have type B blood and 4.7% have type AB blood. A researcher wants to see if the distribution of blood type is different for millionaires. The table below shows the results of a random sample of 3356 millionaires. What can be concluded at the αα = 0.05 significance level? Complete the table by filling in the expected frequencies. Round to the nearest whole number:Frequencies of Blood Type Outcome Frequency Expected Frequency O 1506 A 1330 B 373 AB 147 What is the correct statistical test to use?Select an answer Independence Homogeneity Paired t-test Goodness-of-Fit What are the null and alternative hypotheses?H0:H0: The distribution of blood type for millionaires is the same as it is for Americans in general. Blood type and income are independent. The distribution of blood type for millionaires is not the same as it is for Americans in general. Blood type and income are…arrow_forward
- Test the claim that the proportion of people who own cats is significantly different than 30% at the 0.01 significance level. The null and alternative hypothesis would be: 0.3 Но: р > 0.3 Но:р > 0.3 Но:р — 0.3 Но:р 0.3 H1 :µ + 0.3 H1: H 0.3 The test is: two-tailed right-tailed left-tailed Based on a sample of 800 people, 39% owned cats The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesisarrow_forwardTest the claim that the proportion of people who own cats is significantly different than 10% at the 0.1 significance level. The null and alternative hypothesis would be: 0.1 Ha:p= 0.1 Hop 2 0.1 Ha p 0.1 H,:p 0.1 H, p 0.1 H,:p 0.1 H. p< 0.1 The test is: left-tailed two-tailed right-tailed Based on a sample of 700 people, 19% owned cats The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesisarrow_forwardA nutrition expert claims that the average American is overweight: To test his claim, a random sample of 25 Americans was selected, and the difference between each person's actual weight and idea weight was calculated. For this data, we have = 16 and 8 = 28.4. Is there sufficient evidence to conclude that the expert's claim is true? Carry out a hypothesis test at a 8% significance level. Hint: Pay attention to the variable being measured: the difference between actual weight and ideal. A positive value indicates that the person is overweight. A. The value of the standardized test statistic (give to 3 decimal places): B. The p-value is (give to 4 decimal places): C. Your decision for the hypothesis test: O A. Reject Ho- OB. Reject Ha C. Do Not Reject Ha- O D. Do Not Reject Ho- Earrow_forward
- Samples of airline departure times are obtained and compared to the scheduled departure times. Six major airlines are compared and their mean delay times are recorded. Identify the null and alternative hypotheses for applying an analysis of variance. Choose the correct answer below. OA. Ho: H₁ H₂ H3 H4 H5 H6 H₂: At least two of the means are equal. O B. Ho: At least one of the means is different from the others. Ha: H1 H2 H3 H4 H5=H6 OC. Ho: At least two of the means are equal. Ha: H1 H₂ H3 H4 H5 H6 O D. Ho: H₁ Ha: H1 O E. Ho: H₁ Ha: H1 OF. Ho: H₁ H₂ H3 H4 H5=H6 H₂ H3 H4 H5 H6 H₂ H3 H4 H5 H6 H2 H3 H4 H5=H6 H₂ H3 H4 H5=H6 Ha: At least one of the means is different from the others.arrow_forwardTest the claim that the proportion of men who own cats is significantly different than 35% at the 0.2 significance level.The null and alternative hypothesis would be: H0:μ=H0:μ=H1:μ<H1:μ<H0:p=0.35H0:p=0.35H1:p≠0.35H1:p≠0.35 H0:μ=H0:μ=H1:μ≠H1:μ≠H0:μ=H0:μ=H1:μ>H1:μ>H0:p=0.35H0:p=0.35H1:p<0.35H1:p<0.35H0:p=0.35H0:p=0.35H1:p>0.35H1:p>0.35 The test is: right-tailed left-tailed two-tailed Based on a sample of 55 men, 255255 of the men owned catsThe test statistic is: z=z=___?___ (to 2 decimals)The positive critical value is zC=zC=1.28155.arrow_forwardTest the claim that the proportion of men who own cats is significantly different than 80% at the 0.01 significance level.The null and alternative hypothesis would be: H0:μ=0.8H0:μ=0.8H1:μ>0.8H1:μ>0.8 H0:μ=0.8H0:μ=0.8H1:μ≠0.8H1:μ≠0.8 H0:p=0.8H0:p=0.8H1:p<0.8H1:p<0.8 H0:μ=0.8H0:μ=0.8H1:μ<0.8H1:μ<0.8 H0:p=0.8H0:p=0.8H1:p>0.8H1:p>0.8 H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 The test is: two-tailed left-tailed right-tailed Based on a sample of 35 people, 76% owned catsThe test statistic is: (to 2 decimals)The positive critical value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesisarrow_forward
- A local bank claims that the waiting time for its customers to be served is the lowest in the area. A competitor bank checks the waiting times at both banks. The sample statistics are listed below. Test the local bank’s claim. Use the information given below. Use a significance level of .05 and assume the variances are equal. 1. Identify what they are given and what they need to find; 2. Identify the type of problem they have been given and the tools necessary to solve the problem; 3. Correctly apply the tools to the information given to set up the problem; 4. Perform mathematically correct calculations to determine a solution; 5. Interpret their results in terms of the original problem.arrow_forwardTest the claim that the proportion of people who own cats is significantly different than 80% at the 0.1 significance level.The null and alternative hypothesis would be: H0:μ=0.8H0:μ=0.8H1:μ≠0.8H1:μ≠0.8 H0:p=0.8H0:p=0.8H1:p≠0.8H1:p≠0.8 H0:p≤0.8H0:p≤0.8H1:p>0.8H1:p>0.8 H0:p≥0.8H0:p≥0.8H1:p<0.8H1:p<0.8 H0:μ≤0.8H0:μ≤0.8H1:μ>0.8H1:μ>0.8 H0:μ≥0.8H0:μ≥0.8H1:μ<0.8H1:μ<0.8 The test is: right-tailed left-tailed two-tailed Based on a sample of 200 people, 87% owned catsThe p-value is: (to 2 decimals)Based on this we: Reject the null hypothesis Fail to reject the null hypothesisarrow_forwardA local bank claims that the waiting time for its customers to be served is the lowest in the area. A competitor bank checks the waiting times at both banks. The sample statistics are listed below. Test the local bank's claim. Use the information given below. Use a significance level of .05 and assume the variances are equal. Sample statistics for a local bank and a competitor's bank Local Bank Competitor Bank Sample size n1 = 46 n2 = 50 Average waiting time in minutes for each sample X, = 2.3 mins. X2 = 2.6 Sample Standard Deviation of each Sample = 1.1 mins 1.0 mins. S1 S2 1. Are the samples dependent or independent? 2. State your Null/Alternative hypotheses 3. What is the test-statistic? 4. What is the p-value? 5. What are the critical values? 6. Does the test-statistic lie in the rejection region? 7. Interpret the Result? Does the result change for a different value of alpha? Explain?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics 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:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction 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