You run your test and your sample (test statistic) is 1.98. Your statistician informs you that yourcritical t-value for 99 df and alpha 0.05 is 1.66. What can you conclude?At a 5% significance level, we can reject the null in favor of the alternative that average scoresare over 40 and have improved. You high five each other given that the findings are consistentwith your thinking.At a 5% significance level, we cannot reject the null meaning that test scores have notimproved. You reschedule the meeting with your stakeholders to explore this further as the datadoes not support your claims.Not enough information provided.

Given: Test statistics t = 1.98Critical value tc = 1.66Degree of freedom df = 99Level of…

Answered: You run your test and your sample (test…

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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A survey claims that 9 out of 10 doctors recommend brand Wfor their patients who have children. To test this claim against the alternative that the actual proportion of doctors who recommend brand Wis less than 90%, a random sample of 100 doctors results in 85 who indicate that they recommend brand W. 1. What decision should you makeusing a significance level of 5%? 2. Summarize your conclusions in the context of the problem.
For the situation described below, indicate whether it makes more sense to use a relatively large significance level (such as α = 0.10) or a relatively small significance level (such as α = 0.01). Testing to see if a large investment firm is participating in the illegal prac- tice of insider trading. If there is evidence, the Securities and Exchange Commission will file a lawsuit against them.
help!
You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly different from 0.25. You use a significance level of α=0.01α=0.01. H0:p=0.25H0:p=0.25 H1:p≠0.25H1:p≠0.25You obtain a sample of size n=687n=687 in which there are 143 successes.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =
You wish to test the following claim (Ha) at a significance level of a = 0.002. = Ho: P₁ Ha: P1 P2 P2 You obtain a sample from the first population with 594 successes and 78 failures. You obtain a sample from the second population with 558 successes and 44 failures. The test statistic is... O in the critical region not in the critical region critical value = test statistic = This test statistic leads to a decision to... reject the null hypothesis fail to reject the null hypothesis [three decimal accuracy] [three decimal accuracy] As such, the final conclusion is that... O There is sufficient evidence to support that the first population proportion is less than the second population proportion. There is not sufficient evidence to support that the first population proportion is less than the second population proportion.
HOw would you figure this out?
You wish to test the following claim (H) at a significance level of a = Ho: P1 = P2 Ha: P₁ P2 You obtain a sample from the first population with 122 successes and 438 failures. You obtain a sample from the second population with 63 successes and 304 failures. test statistic = p-value = [three decimal accuracy] 0.001. [four decimal accuracy]
In a 2005 study 2205 adolescents aged 12 - 19 years old were give a treadmill test to check their cardiovascular health. 750 of the subjects were determined to have poor cardiovascular fitness. The researchers want to claim that more than 30% of adolescents have poor cardiovascular health (with a 5% level of significance). The research hypothesis is Ha : p > 0.30. Complete the test by computing the test statistic, the p-value, and stating your conclusions.
You wish to test the following claim (Ha) at a significance level of a = Ho: P₁ = P2 Ha: P₁ P2 You obtain a sample from the first population with 120 successes and 403 failures. You obtain a sample from the second population with 39 successes and 278 failures. The test statistic is... in the critical region O not in the critical region critical value = ± test statistic = This test statistic leads to a decision to... reject the null hypothesis fail to reject the null hypothesis = 0.005. O There is not sufficient evidence to support second population proportion. [three decimal accuracy] [three decimal accuracy] As such, the final conclusion is that... There is sufficient evidence to support that the first population proportion is not equal to the second population proportion. first population proportion not equal to the
Use a significance level of a=0.05 to test the claim that μ=19. The sample data consists of 15 scores for which x=20.4 and s=4.8. State the null and alternative hypotheses, compute the value of the test statistic, and find the P-value for the sample. State your conclusions about the claim.
You wish to test the following claim (Ha) at a significance level of a = 0.02. For the context of this problem, 44 = PostTest - PreTest where the first data set represents a pre-test and the second data set represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your 4i and u2 are so that the differences are computed correctly.) H.:Hd = 0 0 + Prl : "H You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: pre-test post-test 44.8 52.3 47.6 44.1 56.6 51.2 50.4 54.8 55.4 58.9 38 44.1 32.1 36 41.7 52.6 36.9 45.9 50.8 55 52.5 65.8 35.7 38.5 39.3 30.8 36.4 33.4 53.7 60 What is the test statistic for this sample? test statistic = (Report answer accurate to 4 decimal places.) What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.) The p-value is... O less than (or…
Answer the following to summarize the test of the hypothesis that there is no dependence between the two variables color vision of participant and trial outcome. For your test, use the 0.05 level of significance. a. Find the value of the test statistic. (Round to two or more decimal places.) b. Find the critical value for a test at the 0.05 level of significance. (Round to two or more decimal places.) c. Can we reject the hypothesis that there is no dependence between the variables color vision of participant and trial outcome? Use the 0.05 level of significance.

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