6. "In statistical inference for proportions, standard error (SE) is calculated differently for hypothesis tests and confidenceintervals." Which of the following is the best justification for this statement?Because in hypothesis testing, we assume the null hypothesis is true, hence we calculate SE using the null value ofthe parameter. In confidence intervals, there is no null value, hence we use the sample proportion(s).Because in hypothesis testing we're interested in the variability of the true population distribution, and inconfidence intervals we're interested in the variability of the sampling distribution.Because if we used the same method for hypothesis tests as we did for confidence intervals, the calculation wouldbe impossible.Because statistics is full of arbitrary formulas.7. An introductory stats professor hypothesizes that 50% of students learn best by watching the videos, 10% by reading thebook, 20% by solving questions, and the rest from the discussion forums. She surveys a random sample of a large sampleof students asking them how they learn best, and wants to use these data to evaluate her hypothesis. Which methodshould she use?hypothesis test for a single meanANOVAX2 test of independenceX test of goodness of fitF-testt-test

In statistical inference for proportion, standard error (SE) is calculated differently for…

Answered: 6. "In statistical inference for…

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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19. A consumer.research firm reports that the 95% confidence interval for the proportion of consumers who prefer brand K tissue is 0.38 ± 0.04. If the research firm also conducts a significance test of the null hypothesis Ho:p = Po against the alternative Ha:p# Po, which of the following statements must be %3D true? (A) If po = 0.35, then the null hypothesis will be rejected at the a = 0.05 significance level. (B) If po = 0.35, then the null hypothesis will be rejected at the a = 0.01 significance level. %3D (C) If po = 0.38, then the null hypothesis will be rejected at the a = 0.05 significance level. (D) If Po = 0.38, then the null hypothesis will be rejected at the a= 0.01 significance level. (E) If Po = 0.43, then the null hypothesis will be rejected at the a= 0.05 significance level.
State whether the standardized test statistic z indicates that you should reject the null hypothesis. (a)z=2.374 (b)z=2.304 (c)z=−2.138 (d)z=2.544 z0=2.330 For z=2.374, should you reject or fail to reject the null hypothesis?
. nonzerorands expects 3 arguments The average American consumes 100 liters of alcohol per year. Does the average college student consume a different amount of alcohol per year? A researcher surveyed 15 randomly selected college students and found that they averaged 86 liters of alcohol consumed per year with a standard deviation of 16 liters. What can be concluded at the the a = 0.05 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: μν H₁: 100 100 E -3.389 (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) c. The test statistic t d. The p-value = e. The p-value is > ✓ a f. Based on this, we should fail to reject g. Thus, the final conclusion is that ... the null hypothesis. O The data suggest the populaton mean is significantly different from 100 at a = 0.05, so there is statistically significant evidence to conclude that the population mean amount of…
Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?
Looking at youth depression scores from a general sample of random children in the US, we want to determine if our sample is significantly different than the national average of scores of children with depression in the US. The national average of scores on a measure of depression is 5 points. We have no reason to assume it will be higher or lower than the US national average. The sample: 11 9 12 3 3 4 13 1. What is the null and alternative hypotheses? Do not specify any directionality. 2. What did you discover (using 95% Cl)? Provide an interpretation.
When we test the hypothesis, can you explain the difference between one and of two-sample tests? How would I know if I can reject this null hypothesis? Can you give an example of the one and two-sample tests? Why does the t-value have different formulas in a two-sample test?
Suppose you want to test the claim that a population mean equals 40. (a) State the null hypothesis. H0: μ > 40 H0: μ < 40 H0: μ = 40 H0: μ ≠ 40 H0: μ ≥ 40 (b) State the alternate hypothesis if you have no information regarding how the population mean might differ from 40. H1: μ > 40 H1: μ < 40 H1: μ = 40 H1: μ ≠ 40 H1: μ ≥ 40 (c) State the alternative hypothesis if you believe (based on experience or past studies) that the population mean may exceed 40. H1: μ > 40 H1: μ < 40 H1: μ = 40 H1: μ ≠ 40 H1: μ ≥ 40
-what kinds of questions can we test with a t test? -How do you know if two samples are statistically different from each other? In other words, what statistics will tell you if your results are statistically significant?
Consider the following hypothesis test. Ho: H1 - H2 = 0 Ha: H1 - 42 # 0 The following results are from independent samples taken from two populations assuming the variances are unequal. Sample 1 Sample 2 n1 35 = 40 = 13.6 X, = 10.1 S1 5.8 S2 = 8.1 (a) What is the value of the test statistic? (Use x, - x2. Round your answer to three decimal places.) (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) (c) What is the p-value? (Round your answer to four decimal places.) p-value = (d) At a = 0.05, what is your conclusion? Do not Reject Ho: There is sufficient evidence to conclude that u, - µ, ± 0. Reject Ho. There is sufficient evidence to conclude that µ, - µ, # 0. Do not Reject Ho. There is insufficient evidence to conclude that u, - H, + 0. 0' Reject Ho. There is insufficient evidence to conclude that u1 - µ2 ± 0.

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