Question

For the following values of X2 and df, would the null hypothesis be rejected if a...

For the following values of

X2 and df, would the null hypothesis be rejected if a significance level of α = 0.01 were used? (Use a table or technology.)

(a) X2 = 34.52, df = 13

Yes, reject H0.

No, fail to reject H0.    

(b) X2 = 39.25, df = 16

Yes, reject H0.

No, fail to reject H0.    

(c) X2 = 25.61, df = 19

Yes, reject H0.

No, fail to reject H0.    

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Solution :

Given that,

= 0.01

(a)

Using chi square table ,

P-value = 0.001

P-value <

Yes, Reject H0.

(b)

P-value = 0.001

P-value <

Yes, Reject H0.

(c)

P-value = 0.1414

P-value >

No, Fail to reject H0.

Add a comment
Know the answer?
Add Answer to:
For the following values of X2 and df, would the null hypothesis be rejected if a...
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
  • What is the approximate P-value for the following values of X2 and df? (Use technology. Round...

    What is the approximate P-value for the following values of X2 and df? (Use technology. Round your answers to four decimal places.) (a) X2 = 34.52, df = 13 (b) X2 = 39.25, df = 16 (c) X2 = 26.34, df = 19

  • (a) For the same data and null hypothesis, is the P-value of a one-tailed test (right...

    (a) For the same data and null hypothesis, is the P-value of a one-tailed test (right or left) larger or smaller than that of a two-tailed test? pick one The P-value for a one-tailed test is smaller because the two-tailed test includes the area in both tails. The P-value for a one-tailed test is larger because the two-tailed test includes the area in only one tail.    The P-value for a one-tailed test is larger because the two-tailed test includes the...

  • A. B. Please follow the steps of hypothesis testing, including identifying the alternative and null hypothesis,...

    A. B. Please follow the steps of hypothesis testing, including identifying the alternative and null hypothesis, calculating the test statistic, finding the p-value, and making a conclusions about the null hypothesis and a final conclusion that addresses the original claim. Use a significance level of 0.10. Is the conclusion affected by whether the significance level is 0.10 or 0.01? Test Statistic=______ (Round to two decimal places) P-Value=______ (Round to three decimal places) Answer choices below: a) ​Yes, the conclusion is...

  • p-value Approach: The p-value is the smallest significance level at which the null hypothesis is rejected....

    p-value Approach: The p-value is the smallest significance level at which the null hypothesis is rejected. While using the normal distribution, suppose, z = Zobserved is the test statistic value for testing the hypothesis about a population mean. This test statistic value is usually negative for a left-tailed test and is usually positive for a right-tailed test. The p-value is obtained with the help of the Standard Normal Distribution Table (Table IV). 1. For a left-tailed test, p-value = P(z<...

  • I need help with - Should the null hypothesis be​ rejected? - at the very bottom....

    I need help with - Should the null hypothesis be​ rejected? - at the very bottom. Thank you! To test the belief that sons are taller than their​ fathers, a student randomly selects 13 fathers who have adult male children. She records the height of both the father and son in inches and obtains the following data. Are sons taller than their​ fathers? Use the alpha α = 0.025 level of significance. ​ Note: A normal probability plot and boxplot...

  • For which of the given P-values would the null hypothesis be rejected when performing a level...

    For which of the given P-values would the null hypothesis be rejected when performing a level 0.05 test?  

  • 13) Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e.,...

    13) Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis. Suppose you wish to test the claim that μd, the mean value of the differences d for a population of paired data, is greater than 0. Given a sample of n = 15 and a significance level of α = 0.01, what criterion would be used for rejecting...

  • A certain genetic characteristic of a particular plant can appear in one of three forms (phenotypes)....

    A certain genetic characteristic of a particular plant can appear in one of three forms (phenotypes). A researcher has developed a theory, according to which the hypothesized proportions are p1 = 0.25, p2 = 0.50, and p3 = 0.25. A random sample of 200 plants yields X2 = 5.08. (a) Carry out a test of the null hypothesis that the theory is correct, using level of significance α = 0.05. What is the critical value for the test? (Round your...

  • A certain genetic characteristic of a particular plant can appear in one of three forms (phenotypes)....

    A certain genetic characteristic of a particular plant can appear in one of three forms (phenotypes). A researcher has developed a theory, according to which the hypothesized proportions are p1 = 0.25, p2 = 0.50, and p3 = 0.25. A random sample of 200 plants yields X2 = 5.01. (a) Carry out a test of the null hypothesis that the theory is correct, using level of significance α = 0.05. What is the critical value for the test? (Round your...

  • A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample...

    A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 9 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 8.5. (a) Is it appropriate to use a Student's t distribution? Explain. Yes, because the x distribution is mound-shaped and symmetric and σ is unknown. No, the x distribution is skewed left.      No, the...

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