A large fishing farm with thousands of fish has been treating its fish to stop a spreading fungalinfection. A simple random sample of 150 fish is taken and a careful examination determines that 12 ofthe fish sampled are infected. The infection would be contained if fewer than 10% of the fish wereinfected. To answer this question, which alternative hypothesis would we test?O The two categorical variables are dependentOp<0.10Ο μ< 0.10At least ones of the means is different from the othersThe distribution of the categorical variable is not as given by the null hypothesis (lack of fit)The distribution of the categorical variable is not the same across populations or treatments

Answered: fection. A simple random sample of 150…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A group consists of 5 Democrats and 8 Republicans. 7 people are selected to attend a conference.a. In how many ways can 7 people be selected from this group of 13?b. In how many ways can 7 Republicans be selected from the 8 Republicans?c. Find the probability that the selected group will consist of all Republicans.
All of number 4 including the table
Test the claim about the difference between two population means ₁ and ₂ at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: ₁₂; a=0.01. Assume o #02 Sample statistics: x₁=2406, s₁ = 178, n₁ = 14 and X₂=2291, s₂=52, n₂ = 9 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H₁ H₂ Ha: H1 H2 OC. Ho: H₁ H₂ Ha: H1 H2 OE. Ho: H₁ H₂ Ha: H1 H2 Find the standardized test statistic t t= (Round to two decimal places as needed.). OB. Ho: H₁ H₂ Ha: H₁ 24₂ OD. Ho: ₁₂ Ha: H1 H₂ OF. Ho: H₁ H₂ H₂: H₁ H₂ Find the P-value. P=0 (Round to three decimal places as needed.). Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. ▼ Ho There enough evidence at the 1% level of significance to reject the claim.
Suppose there is a claim that a certain population has a mean, 4, that is different than 9. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H1, as follows. Hg: 4= 9 H: u=9 Suppose you also know the following information. The value of the test statistic based on the sample is -2.044 (rounded to 3 decimal places). The p-value is 0.041 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Standard Normal Distribution 04 Step 1: Select one-tailed or two-tailed. O One-tailed Two-tailed 0.3+ Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.2+ Step 3: Shade the area represented by the p-value. 0.1+ Step 4: Enter the p-value. (Round to 3 decimal places.) ? (b) Based on your answer to part (a), which statement below is true? O since the p-value is less…
Which of the following is not a cause of perfect multicollinearity? Select all that apply. One of the explanatory variables is equal to half of another explanatory variable for 100% of the observations in the sample. The correlation between two of the explanatory variables is 1.00. One of the explanatory variables is equal to half of another explanatory variable for 20% of the observations in the sample. A dummy variable for male is included at the same time as a dummy variable for non-male. One of the regressors is X and another regressor is X².
Test the claim that the proportion of men who own cats is significantly different than 50% at the 0.02 significance level.a.) The null and alternative hypothesis would be: b.) The test is: right-tailed left-tailed two-tailed Based on a sample of 60 men, 59% owned cats c.) The sample proportion ˆp=d.) The test statistic is: (to 2 decimals)e.) At α=α=0.02, the critical value is:± (to 2 decimals)f.) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
Test the claim about the difference between two population means µ, and H2 at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: H, sH2; a = 0.10. Assume o #o3 Sample statistics: X1 = 2413, s, = 177, n, = 13 and X2 = 2308, s2 = 55, n2 = 10 %3D Hạ: H1 H2 Find the standardized test statistic t.
The number of points held by random samples of the NHL's highest scorers of both the Eastern Conference and the Western Conference is shown. At the 0.05 level of significance, can it be concluded that there is a difference in means based on theses data: Eastern Conference Western Conference 83 60 75 58 77 59 72 58 78 59 70 58 37 57 66 55 62 61 59 61 What is the appropriate null hypothesis for this problem? (u= population mean for this problem) What is the critical Value? What is the test statistics? What is the decision?
Suppose there is a claim that a certain population has a mean, µ, that is different than 7. You want to test this claim. To do so, you collect a large random sample from the population and perform a hypothesis test at the 0.05 level of significance. To start this test, you write the null hypothesis H, and the alternative hypothesis H, as follows. Hoi u= 7 H: u =7 Suppose you also know the following information. The critical values are - 1.960 and 1.960 (rounded to 3 decimal places). The value of the test statistic is 2.477 (rounded to 3 decimal places). (a) Complete the steps below to show the rejection region(s) and the value of the test statistic for this test. Standard Normal Distribution Step 1: Select one-tailed or two-tailed. One-tailed 0.3 Two-tailed Step 2: Enter the critical value(s). (Round to 3 decimal places.) 0.2+ 0.1+ Step 3: Enter the test statistic. (Round to 3 decimal places.) 2 (b) Based on your answer to part (a), choose the correct statement. O The value of the test…
For the hypothesis system H0: u=c versus Ha: u doesn't equal c Give the absolute value of the calculated test statistics which would correspond to the standard P-value. Consider the population normally distributed. P-value= 0.026
Test the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ=50; α=0.05; σ=3.55. Sample statistics: x=49.2, n=80 Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: μ=50 Ha: μ≠50 Your answer is correct. B. H0: μ<50 Ha: μ=50 C. H0: μ=50 Ha: μ>50 D. H0: μ=50 Ha: μ<50 E. H0: μ≠50 Ha: μ=50 F. H0: μ>50 Ha: μ=50 Calculate the standardized test statistic. The standardized test statistic is nothing. (Round to two decimal places as needed.) More
The following table contains observed frequencies for a sample of 200. Row Variable P Q Column Variable A B C 16 40 46 34 30 34 Test for independence of the row and column variables using a = 0.05. State the null and alternative hypotheses. O Ho: Variable P is not independent of variable Q. H: Variable P is independent of variable Q. O Ho: The column variable is independent of the row variable. H₂: The column variable is not independent of the row variable. a O Ho: The column variable is not independent of the row variable. H₂: The column variable is independent of the row variable. O Ho: Variable P is independent of variable Q. H₂: Variable P is not independent of variable Q. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. We conclude that the column and row variables are independent. O Do not reject Ho. We cannot conclude that there is an…

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