4. A study was performed to test the effectiveness of a new treatment for migraines. Therewere 125 patients in the study. Of these, 60 were randomly assigned to receive thestandard treatment and 65 to receive the new treatment. All were instructed to take themedication at the onset of their next migraine and to notice if the pain of their migrainefelt reduced after half an hour. Fifty patients receiving the new treatment reportedreduced pain, compared with only 40 of the patients receiving the standard treatment.The results seem to favor the new treatment, but could the difference just be due tochance?In this problem, consider the null hypothesis that the percentage of patients with areduction in pain is the same between the two treatments, versus the alternativehypothesis that the percentages are different.(a) Under the null hypothesis, the difference in the sample percentages is expected to be%. The standard error for the difference is estimated to be%.8800.0(b) Calculate the two-sample z test statistic.000*(c) Calculate the p-value.Ph(d) Do you reject the null hypothesis?eng1901090%Yorhot levietul pornom(e) State your conclusion in the context of the original problem.

The information is given as- Total number of patients received standard treatment: n1=60 Total…

Answered: (a) Under the null hypothesis, the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: <0; a=0.05. Sample statistics: d= 1.6. sy =3.7, n=12 Identify the null and alternative hypotheses. Choose the correct answer below. OA Ho: 14=0 H₁₂-10 OC. Ho: Hy so H₁₂:0 OE HO H₂: P20 The test statistic is t= ☐ (Round to two decimal places as needed.) B. Ho: Hy 20 H: <0 D. Ho: Hy #0 H₂: H₁₂ =0 OF H₂: 10 H.: 150
A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? A. Ho: H₁ H₂ H₁: H₁ H₂ OC. Ho: H₁ H2 H₁ H₁ H₂ The test statistic, t, is -1.45. (Round to two decimal places as needed.) The P-value is 0.153. (Round to three decimal places as needed.) State the conclusion for the test. C OB. Ho: H₁
A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho H1 H2 H₁: H1 H2 o C. Ho: H = 2 H₁: H1 H2 OB. Ho: H1 H2 H1 H1 H2 OD. Ho H1 H2 H₁: 12 Treatment Placebo μ H1 H2 n 27 31 X 2.35 2.65 S 0.95 0.55
A researcher constructs a two-sided 99% confidence interval (CI) on the mean of a normal distribution. (Assume the population variance is known.) How is the Cl width changed by switching to a 90% CI? O increase by a factor of approximately 1.6 none of these O increase by a factor of approximately 1.8 O decrease by a factor of approximately 0.64 decrease by a factor of approximately 0.55 O O O
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A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random. samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? OA. Ho: H1 H2 H₁₁₂ The test statistic, t, is (Round to two decimal places as needed.) OB. Ho: H₁₂ H₁: H₁
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(a) Under the null hypothesis, the difference in the sample percentages is expectec %. The standard error for the difference is estimated to be %. (b) Calculate the two-sample z test statistic. (c) Calculate the p-value. STP0.0 / JP. Yoro