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 areP₁ = 0.25, P₂ = 0.50, and P3 = 0.25. A random sample of 200 plants yields x² = 4.76.(a) Carry out a test of the null hypothesis that the theory is correct, using level of significance a = 0.05.Use technology to calculate the P-value. (Round your answer to four decimal places.)P-value =What can you conclude?O Reject Ho. We have convincing evidence that the theory is incorrect.O Fail to reject H. We have convincing evidence that the theory is incorrect.Fail to reject Ho. We do not have convincing evidence that the theory is incorrect.O Reject H. We do not have convincing evidence evidence that the theory is incorrect.(b) Suppose that a random sample of 300 plants had resulted in the same value of x². How would the analysis and conclusion differ from those in part (a)?O The previous analysis did not yield a significant result and the null hypothesis failed to be rejected. The new analysis would yield a significant result and the null hypothesis would berejected.O The analysis and conclusions would not change.O The previous analysis did not yield a significant result and the null hypothesis was rejected. The new analysis would yield a significant result and the null hypothesis would fail to berejected.O The previous analysis yielded a significant result and the null hypothesis failed to be rejected. The new analysis would not yield a significant result and the null hypothesis would berejected.O The previous analysis yielded a significant result and the null hypothesis was rejected. The new analysis would not yield a significant result and the null hypothesis would fail to berejected.

Let p1, p2, and p3 be the three population proportions.Given that,No. of plants Test statistic No.…

Answered: (a) Carry out a test of the null…

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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6:22: Test the notion at the a= 0.05 level of significance. What are the correct hypotheses for this test? 2.6. The null hypothesis is H₂: The alternative hypothesis is H₁: Calculate the value of the test statistic. x² = (Round to three decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is (Round to three decimal places as needed.) 18. Data show that men between the ages of 20 and 29 in a general population have a mean height of 69.3 inches, with a standard deviation of 2.6 inches. A baseball analyst wonders whether the standard deviation of heights of major-league baseball players is less than 2.6 inches. The heights (in inches) of 20 randomly selected players are shown in the table. Click the icon to view the data table. N34567 00 2 ▼ What is the correct conclusion at the a= 0.05 level of significance? Since the P-value is than the level of significance, the null hypothesis. There of major-league baseball players is less than 2.6…
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Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p=0.3 versus H₁: p>0.3 n=250; x = 95, a = 0.05 Is npo (1-Po) ≥ 10? O Yes O No 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
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. Ho: p = 0.8 versus H: p> 0.8 n = 250; x = 215; a = 0.1 Click here to view page 1 of the table. Click here to view page 2 of the table. Calculate the test statistic, Zo- Zo = 2.37 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.009 (Round to three decimal places as needed.) Choose the correct result of the hypothesis test for the P-value approach below. A. Reject the null hypothesis, because the P-value is less than a. B. Do not reject the null hypothesis, because the P-value is greater than a. C. Reject the null hypothesis, because the P-value is greater than a. D. Do not reject the null hypothesis, because the P-value is less than a. O O O
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
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You may need to use the appropriate echnology to answer this questiol Consider the following hypothesis test. Ha: Hd > 0 (a) The following data are from matched samples taken from two populations. Compute the difference value for each element. (Use Population 1 - Population 2.) Population Element 1 2 Difference 1 21 19 2 28 25 18 17 4 20 17 26 25 (b) Compute d. (c) Compute the standard deviation (d) Conduct a hypothesis test using a = 0.05. Calculate the test statistic. (Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value %3D
The null and alternate hypotheses are: Ho Hy H2 H₁ H₁ H₂ A random sample of 11 observations from one population revealed a sample mean of 23 and a sample standard deviation of 1.1. A random sample of 4 observations from another population revealed a sample mean of 24 and a sample standard deviation of 1.3. The population standard deviations are unknown but assumed to be equal. At the 0.05 significance level, is there a difference between the population means? Required: a. State the decision rule. (Negative amounts should be indicated by a minus sign. Round your answer to 3 decimal places.) Answer is complete but not entirely correct. -1.761 or 1.761 The decision rule is to reject Ho b. Compute the pooled estimate of the population variance. (Round your answer to 3 decimal places.) Pooled estimate of the population variance
P-value is -.055 You are asked to make a decision about whether to reject the null hypothesis that the population value of gamma equals 0 (i.e., that there is no ordinary association in the population between frequency of prayer and health). If alpha = 0.05 and you use a non-directional alternative hypothesis, which of the following is true?) A. Since the p-value is larger than alpha, you do not reject the null hypothesis B. Since the p-value is less than alpha, you do not reject the null hypothesis C. Since the p-value is larger than alpha, you reject the null hypothesis. D. Since the p-value is less than alpha, you reject the null hypothesis
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p=0.8 versus H: p>0.8 n=200; x=175, a= 0.05 Is npo (1-Po) 210? Yes O No 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. Time Re 20 F7 F8 F9 esc F2 F3 F4 F5 F1 %23 24
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.

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