**Title: Hypothesis Testing for Depression Treatment Efficacy**Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 534 depressed individuals is selected and treated with Resithan, and 184 find relief from their depression. A random sample of 431 depressed individuals is independently selected from the first sample and treated with Exemor, and 137 find relief from their depression. Can we conclude, at the 0.05 level of significance, that the proportion \( p_1 \) of all depressed individuals taking Resithan who find relief from depression is greater than the proportion \( p_2 \) of all depressed individuals taking Exemor who find relief from depression?Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.)**(a) State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \).**\( H_0 : \) [ ]\( H_1 : \) [ ]**(b) Determine the type of test statistic to use.**\( \text{(Choose one) } \, \Box \)**(c) Find the value of the test statistic. (Round to three or more decimal places.)**[ ]**(d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.)**[ ]**(e) Can we conclude that the proportion of depressed individuals taking Resithan who find relief is greater than the proportion taking Exemor who find relief?**\( \bigcirc \) Yes \( \bigcirc \) No **Notes:**- The image includes a table for hypothesis testing, with a selection menu for choosing the type of test statistic.- The icons to the right depict statistical symbols and operations.This structured approach helps easily identify the hypotheses, choose the appropriate statistical test, compute necessary values, and reach a conclusion based on the evidence presented.

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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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Using age as the quantitative variable and marital status (married/not married) as the categorical. Develop two research questions.
Hi! help me with this please. TYSM! In a study by the United Dairy IndustryAssociation, 42% of 655 persons age 35–44 said theyseldom or never ate cottage cheese. For 455 individualsage 45–54, the corresponding percentage was 34%. At the0.01 level, can we reject the possibility that the populationpercentages could be equal for these two groups?
6. A kinesiologist wanted to examine the effects of temperature and humidity on exercise performance. Each participant was asked to walk on a treadmill at a normal pace for 60 minutes, and the kinesiologist recorded the distance walked (miles). She assigned participants to one of 4 conditions that varied in temperature (normal or high) and humidity (normal or high). Mean distance walked by the four groups are shown in the table below. Assume a = .05 and Tukey HSD = 0.39. Normal temperature High temperature Normal humidity M = 3.00 M = 2.80 High humidity M = 2.80 M = 2.00 Complete the following conclusion: The factorial ANOVA revealed significant main effects of temperature [F (1, 24) = 25.00, p<.05] and humidity [F (1, 24) = 19.65, p<.05] and a significant Temperature x Humidity interaction [F (1, 24) = 9.25, p < .05].
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depression. Can we conclude, at the 0.05 level of significance, that the proportion pj of all depressed individuals taking Resithan who find relief from depression is greater than the proportion pɔ of all depressed individuals taking Exemor who find relief from depression?