Based on advancements in drug therapy, a pharmaceutical company is developing Resithan, a new treatment for depression. A medical researcher for the company is studying the effectiveness of Resithan as compared to their existing drug, Exemor. A random sample of 414 depressed individuals is selected and treated with Resithan, and 191 find relief from their depression. A random sample of 557 depressed individuals is independently selected from the first sample and treated with Exemor, and 213 find relief from their depression.Based on the medical researcher's study 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.(Choose one)(c) Find the value of the test statistic. (Round to three or more decimal places.)\[ \](d) Find the \( p \)-value. (Round to three or more decimal places.)\[ \]The interface includes buttons and options for input of statistical symbols and test types.

It is given that n1 = 414, X1 = 191 n2 = 557, X2 = 213 Note: According to Bartleby expert…

Answered: (a) State the null hypothesis Ho and…

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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The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? Họ: H1: What type of test is being conducted in this problem? O Left-tailed test Right-tailed test Two-tailed test What parameter is being tested? Population standard deviation O Population mean O Population proportion
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Consider the following data for a dependent variable y and two independent variables, x, and X2. X1 | X2 y 30 12 93 47 10 108 17 112 51 16 178 40 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 213 The estimated regression equation for these data is ý = -20.24 + 2.04x, + 4.78x2. Here, SST = 15,563.6, R = 14,417.6, = 0.2488, and = 0.9548. zas 25
MORE BENEFITS OF EATING ORGANIC Using specific data, we find a significant difference in the proportion of fruit flies surviving after 13 days between those eating organic potatoes and those eating conventional (not organic) potatoes. This exercise asks you to conduct a hypothesis test using additional data. In this case, we are testing Họ : Po = Pc Ha: Po > Pc where p, and p. represent the proportion of fruit flies alive at the end of the given time frame of those eating organic food and those eating conventional food, respectively. Use a 5 % significance level. Effect of Organic Bananas After 25 Days After 25 days, the proportion of fruit flies eating organic bananas still alive is 0.45 , while the proportion still alive eating conventional bananas is 0.42. The standard error for the difference in proportions is 0.029. What is the value of the test statistic? Round your answer to two decimal places. z = i What is the p-value? Round your answer to three decimal places. p-value = What…
14
At a magic shop, the salesperson shows you a coin that he says will land on heads more than 70% of the times it is flipped. In an attempt to convince you he's correct, the salesperson asks you to try the coin yourself. You flip the coin 65 times. (Consider this a random sample of coin flips.) The coin lands on heads 49 of those times. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to support the salesperson's claim that the proportion, p, of all times the coin lands on heads is more than 70%. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test. Ho H: 0 D=D (b) For your hypothesis test, you will use a Z-test. Find the values of np andn (1-p) to confirm that a Z-test can be used. (One standard is that np 2 10 and n(1-p) > 10 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are testing.
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. H0: p=0.4 versus H1: p>0.4 n=125; x=55, α=0.1
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. What parameter is being tested? Ho: O = 4 H: What type of test is being conducted in this problem? Two-tailed test Left-tailed test O Right-tailed test What parameter is being tested? Population proportion Population standard deviation Population mean O Time Remaining: 01:50:59 Next DEC tv MacBook Pro Search or type URL
(b) Find the standardized test statistic for u1-u2 t= (Round to three decimal places as needed.) c) Calculate the P.value. P= (Round to four decimal places as needed.) (d State the conclusion ___________ Ho- There ____________ enough evidence at the 1% level of significance to support the researcher's claim.
Consider the data. xi 3 12 6 20 14 yi 60 40 65 5 15 Use the t test to test the following hypotheses (? = 0.05): H0: ?1 = 0 Ha: ?1 ≠ 0 Find the value of the test statistic. (Round your answer to three decimal places.) Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format.
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho:p = 0.2 versus H,:p>0.2 n= 200; x= 45, a = 0.01 Is npo (1-Po) 2 10? O No O Yes Use technology to find the P-value. P-value = (Round to three decimal places as needed.) the null hypothesis, because the P-value is than a.
Claim: μ=40; α=0.04; σ=3.88. Sample statistics: x=38.2, n=72 the null and alternative hypotheses: H0: μ=40 Ha: μ≠40 calculate the standardized test statistic. The standardized test statistic is enter your response here. (Round to two decimal places as needed.)

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