Use the statistical software package to compute a numerical summary of the weight differences (difference Postwt Prewt). Perform the significance test. State the null and alternative hypotheses. Note that Ud is defined as the weight gain (Postwt Prewt). Ho: pd = U Ha: Pa > Ho: pa = 0 Ho: pd = Ha: d = 0 Ho: pa # 0 Ha: pa = 0 Compute the test statistic. Round your answer to decimal places. Compute the p-value. Round your answer to decimal places. Interpret the results of the test: The p-value provides strong evidence against the null hypothesis. The weight gain of anorexia patients treated using family therapy was statistically significant. The p-value provides little evidence against the null hypothesis. The weight gain of anorexia patients treated using family therapy was not statistically significant.
Added by Heidi P.
Close
Step 1
Since we are testing if there is a significant weight gain (Postwt - Prewt), our hypotheses are: $H_0: \mu_d = 0$ (There is no significant weight gain) $H_a: \mu_d > 0$ (There is a significant weight gain) Show moreā¦
Show all steps
Your feedback will help us improve your experience
David Nguyen and 51 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Ideally, results of a statistical analysis should not depend greatly on a single observation. For the weight changes in a table from an anorexia study, the greatest reported value of 20.7 pounds was a severe outlier. Suppose this observation was actually 2.7 pounds but was incorrectly recorded. The original results of the test resulted in a test statistic of 2.24, a P-value of 0.033, and rejecting the null hypothesis. Redo the two-sided test of H0: Ī¼ = 0 with a significance level of 0.05, and summarize how the results differ. Does the ultimate conclusion depend on that single observation? State the alternative hypothesis. Choose the correct answer below. A. Ha: Ī¼ > 0 B. Ha: Ī¼ = 0 C. Ha: Ī¼ ā 0 D. Ha: Ī¼ < 0 Find the test statistic. t = (Round to two decimal places as needed.)
David N.
Ideally, the results of a statistical analysis should not depend greatly on a single observation. For the weight changes in a table from an anorexia study, the greatest reported value of 20.8 pounds was a severe outlier. Suppose this observation was actually 2.8 pounds but was incorrectly recorded. The original results of the test resulted in a test statistic of 2.24, a p-value of 0.033, and rejecting the null hypothesis. Redo the two-sided test of H0: u=0 with a significance level of 0.05, and summarize how the results differ. Does the ultimate conclusion depend on that single observation? Find the test statistic. t=? (Round to two decimal places as needed.) Find the p-value. p-value=? (Round to three decimal places as needed.) State the conclusion of this test. The p-value is (less than, equal to, greater than?) the level of significance, so (do not reject, reject?) the null hypothesis. There (is not, is?) significant evidence that the population mean is (less than, equal to, greater than?) not equal to zero. Summarize how the results differ. Does the ultimate conclusion depend on that single observation? After changing 20.8 to 2.8, the test statistic (increased, decreased?) and the p-value (increased, decreased?). In the original test, the null hypothesis was (rejected, not rejected?) and after the adjustment, the null hypothesis was (not rejected, rejected?). The conclusion does (not, does?) depend on the single observation.
Dominador T.
Everitt, in Hand et al, 1994, reported on several different therapies as treatments for anorexia. There were 32 girls in a cognitive-behavior therapy condition who were weighed before and after treatment. The weight gains of the girls, in pounds, are given below. The scores were obtained by subtracting the Before score from the After score, so that a negative difference represents weight loss, and a positive difference represents a gain. 1.7, 0.7, -0.1, -0.7, -3.5, 14.9, 3.5, 17.1, -7.6, 1.6, 11.7, 6.1, 1.1, -4.0, -20.9, -9.1, 2.1, -1.4, 1.4, -3.0, -3.7, -0.8, 2.4, 12.6, 1.9, 3.9, 0.1, 15.4, -0.7, 2.3, 4.5, -0.8 What are the null hypothesis and research hypothesis? Use SPSS to run a one sample mean test (include relevant output with your answer) Construct the 95% confidence interval. Compute the effect size. In a paragraph or two, write your interpretation of your analysis. What conclusion can you make from your result? Where helpful, include summary tables.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD