Question

This question extends the hypothesis testing to analyze difference between population proportions based on 2 or...

This question extends the hypothesis testing to analyze difference between population proportions based on 2 or more samples, and to test the hypothesis of independence in the joint responses to 2 categorical variables. Can we provide a real world example for using the Chi-square test along with expectation of the outcomes?  

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

REAL WORLD EXAMPLE OF USING THE CHI - SQUARE TESTALONGWITH EXPECTATION OF THE OUTCOMES:
To test the hypothesis of independence in number of accidents on different days:

Observed Frequencies:

Day MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY
Number of accidents 8 12 9 14 17

H0: Accidents are equally likely on any day of the week.

HA: Accidents are not equally likely on any day of the week.

On the assumption of H0, the Expected number of accidents on any day = 60/5 = 12

Let O denote the Observed Frequency and E denote Expected Frequency.

O E O - E (O - E)2
8 12 - 4 16
12 12 0 0
9 12 -3 9
14 12 2 4
17 12 5 25
60 60 54

ndf = n - 1 = 5 - 1 = 4

From Table, criticalvalue of

Since the calculated value of is less than critical value of ,the difference is not significant. Fail to reject null hypothesis.

The accidents are equally likely to occur on any day of theweek.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In constructing a confidence interval estimate for the difference between two population proportions, we: A. never...
In constructing a confidence interval estimate for the difference between two population proportions, we: A. never pool the population proportions B. pool the population proportions when the populations are normally distributed C. pool the population proportions when they are equal D. pool the population proportions when the population means are equal The ratio of two independent chi-squared variables divided by their degrees of freedom is: A. normally distributed B. Student t-distributed C. F-distributed D. chi-squared distributed
For each hypothesis, the specific statistical test appropriate for testing the hypothesis should be described and...
For each hypothesis, the specific statistical test appropriate for testing the hypothesis should be described and a brief description of why the chosen test is most appropriate should be included. One Sample t-test, Two sample t-test, Two related (correlated/paired/dependent)sample t-test, One Factor (one way) analysis of variance (ANOVA), Factorial for two way/facot Analysis of Variance (Anova), One Variable Chi-Square test, two variable chi square test, correlation, or linear regression Example: 1. People who work in a sedentary job are more...
For each hypothesis, the specific statistical test appropriate for testing the hypothesis should be described and...
For each hypothesis, the specific statistical test appropriate for testing the hypothesis should be described and a brief description of why the chosen test is most appropriate should be included. One Sample t-test, Two sample t-test, Two related (correlated/paired/dependent)sample t-test, One Factor (one way) analysis of variance (ANOVA), Factorial for two way/facot Analysis of Variance (Anova), One Variable Chi-Square test, two variable chi square test, correlation, or linear regression Example: 1. People who work in a sedentary job are more...
In testing the difference between two population means using two independent samples, the population standard deviations...
In testing the difference between two population means using two independent samples, the population standard deviations are assumed to be unknown, each sample size is 30, and the calculated test statistic z = 2.56. If the test is a two-tailed and the 5% level of significance has been specified, the conclusion should be: a. none of these answers is correct. b. choose two other independent samples. c. reject the null hypothesis. d. not to reject the null hypothesis.
“Assuming the null hypothesis is true, the expected value of every test statistic we have seen...
“Assuming the null hypothesis is true, the expected value of every test statistic we have seen this semester, whether it is a z, t, or chi-square test statistic, is 0.” One of your friends says the above statement. Respond to this statement. In your response, include, 1) For z tests about population proportions: what is the distribution and the corresponding expected value of a z test statistic under the null. 2) For t tests about population means: what is the...
For each of the following scenarios, identify: the population of interest, the outcome variable being measured...
For each of the following scenarios, identify: the population of interest, the outcome variable being measured on each observational unit, whether the outcome variable being measured is categorical or quantitative/Continuous, the parameter of interest, define both in words and using the appropriate statistical symbol (π, π1 -π2, µ, µ1 - µ2, or µd), and the null and alternative hypotheses, written in correct statistical notation (not in words) Name the hypothesis test you would use. For example, some tests we have...
1. if You are testing a hypothesis about a population proportion and a sample size is...
1. if You are testing a hypothesis about a population proportion and a sample size is over 100 what is the proper test statistic to use? A) z statstic B) chi-square c) t statistic d) not enough data 2. If you are using the critical value approach to do a single tailed hypothesis test on the population mean, what impact will a smaller standard error have on the critical value of your test statistic? A) critical value will increae b)...
  Provide a real world example of a Type I error. 2.  Explain what a critical value is,...
  Provide a real world example of a Type I error. 2.  Explain what a critical value is, and explain how it is used to test a hypothesis. 3.  Explain what a p-value is, and explain how it is used to test a hypothesis. 4.  How do we decide whether to use a z test or a t test when testing a hypothesis about a population mean?
1. Provide a real world example of a Type I error. 2. Explain what a critical...
1. Provide a real world example of a Type I error. 2. Explain what a critical value is, and explain how it is used to test a hypothesis. 3. Explain what a p-value is, and explain how it is used to test a hypothesis. 4. How do we decide whether to use a z test or a t test when testing a hypothesis about a population mean?
6. We want to know whether the difference in the population proportions between group 1 and...
6. We want to know whether the difference in the population proportions between group 1 and group 2 differs from 0. Specifically, we want to test H0 : p1 − p2 = 0 versus Ha : p1 − p2 6= 0. We know that 332 of the 529 observations in group 1 have the characterisitic. And, we know that 346 of the 595 observations in group 2 have the characterisitic. 2 (a) What is the sample proportion for group 1?...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT