ZuoTi.Pro
Question

You wish to conduct a hypothesis test to determine if a bivariate data set has a...

You wish to conduct a hypothesis test to determine if a bivariate data set has a significant correlation among the two variables. That is, you wish to test the claim that there is a correlation (Ha:ρ≠0Ha:ρ≠0). You have a data set with 69 subjects, in which two variables were collected for each subject. You will conduct the test at a significance level of α=0.05α=0.05.

Find the critical value for this test (Pick the closest conservative value from the table).
rc.v. = ±±

Report answers accurate to three decimal places.

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

The sample size is n=69, so then the number of degrees of freedom is df=n−2=69−2=67

The corresponding critical correlation value rc​ for a significance level of α=0.05, for a two-tailed test is:

rc​=0.237

Observe that in this case, the null hypothesis is rejected if ∣r∣>rc​=0.237.

0 0
Add a comment
Know the answer?
Add Answer to:
You wish to conduct a hypothesis test to determine if a bivariate data set has a...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • You wish to conduct a hypothesis test to determine if a bivariate data set has a significant correlation among the two variables. That is, you wish to test the claim that there is a correlation (Ha:ρ≠...

    You wish to conduct a hypothesis test to determine if a bivariate data set has a significant correlation among the two variables. That is, you wish to test the claim that there is a correlation (Ha:ρ≠0Ha:ρ≠0). You have a data set with 69 subjects, in which two variables were collected for each subject. You will conduct the test at a significance level of α=0.05α=0.05. Find the critical value for this test (Pick the closest conservative value from the table). rc.v....

  • You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. For the...

    You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test.       Ho:μd=0Ho:μd=0       Ha:μd>0Ha:μd>0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=8n=8 subjects. The average difference (post - pre) is ¯d=5.2d¯=5.2 with a standard deviation of the...

  • Run a regression analysis on the following bivariate set of data with y as the response...

    Run a regression analysis on the following bivariate set of data with y as the response variable. x y 38.6 51.4 55.1 86.4 32.9 33.6 24.4 23.8 27 56.6 22.5 26.6 15 34.8 23.2 28.2 22.9 24.4 14 -6.5 40.2 81.2 36.4 48 Verify that the correlation is significant at an α=0.05α=0.05. If the correlation is indeed significant, predict what value (on average) for the explanatory variable will give you a value of 4.4 on the response variable. What is...

  • Run a regression analysis on the following bivariate set of data with y as the response...

    Run a regression analysis on the following bivariate set of data with y as the response variable. x y 61.2 32.1 42.8 12.4 30.8 20.7 47.4 28.4 46.7 44.4 64.7 38.6 36.6 25.4 52.1 13.2 54.9 46.2 21.1 16 41.2 43.9 56.4 26.3 50.6 29.9 29.1 35.9 Verify that the correlation is significant at an α=0.05α=0.05. If the correlation is indeed significant, predict what value (on average) for the explanatory variable will give you a value of 15.1 on the...

  • Run a regression analysis on the following bivariate set of data with y as the response...

    Run a regression analysis on the following bivariate set of data with y as the response variable. x y 60.7 0.1 53.2 40.1 62 23.3 61.1 14.4 75.5 11.9 72 11.1 64.9 20.5 114.5 -24.7 92.4 -13.6 80.9 -1.7 82.8 -13.4 75.5 6.8 60.1 14.3 43.2 30.5 Verify that the correlation is significant at an α=0.05α=0.05. If the correlation is indeed significant, predict what value (on average) for the explanatory variable will give you a value of 13.8 on the...

  • You wish to test the following claim (H) at a significance level of a = 0.05....

    You wish to test the following claim (H) at a significance level of a = 0.05. For the context of this problem, d= 22 - 21 where the first data set represents a pre-test and the second data set represents a post-test. H:Hd = 0 H:Hd < 0 – 11.9 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n= 85 subjects. The average...

  • You wish to test the following claim (H1) at a significance level of α=0.002α=0.002. For the...

    You wish to test the following claim (H1) at a significance level of α=0.002α=0.002. For the context of this problem, d=x2−x1 where the first data set represents a pre-test and the second data set represents a post-test.       Ho:μd=0       H1:μd≠0 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=23 subjects. The average difference (post - pre) is ¯d=−4.1 with a standard deviation of the...

  • You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.       Ho:μ≤86.2Ho:μ≤86.2       Ha:μ>86.2Ha:μ>86.2...

    You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.       Ho:μ≤86.2Ho:μ≤86.2       Ha:μ>86.2Ha:μ>86.2 You believe the population is normally distributed and you know the standard deviation is σ=16.8σ=16.8. You obtain a sample mean of ¯x=89x¯=89 for a sample of size n=72n=72. What is the test statistic for this sample? (Report the answer accurate to three decimal places.) test statistic =   What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =   The...

  • You wish to test the following claim (H) at a significance level of a = 0.005....

    You wish to test the following claim (H) at a significance level of a = 0.005. For the context of this problem, d = 22 - 21 where the first data set represents a pre-test and the second data set represents a post-test. H:Hd = 0 H:Hd = 0 – 28 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 21 subjects....

  • You wish to test the following claim (HQ) at a significance level of a = 0.001....

    You wish to test the following claim (HQ) at a significance level of a = 0.001. For the context of this problem, d = 22 - 21 where the first data set represents a pre-test and the second data set represents a post-test. H:Hd = 0 H:Hd 70 You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n = 239 subjects. The average difference...

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