(a) Complete the steps below to show the rejection region(s) and the value of the test statistic for this test.Standard Normal DistributionStep 1: Select one-tailed or two-tailed.O One-tailed0.3 +O Two-tailedStep 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.) Suppose there is a claim that a certain population has a mean, u, that is less than 9. You want to test this claim. To do so, you collect a large random samplefrom the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis H and the alternativehypothesis H, as follows.Ho: µ = 9H1: µ<9Suppose you also know the following information.The critical value is – 1.282 (rounded to 3 decimal places).The value of the test statistic is -2.405 (rounded to 3 decimal places).

Answered: Image /qna-images/answer/e2fabe2f-28bc-44f6-92f3-1c2af804e646.jpg

Answered: Suppose there is a claim that a certain…

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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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?
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Suppose there is a claim that a certain population has a mean, u, 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 0.10 level of significance. To start this test, you write the null hypothesis, Ho, and the alternative hypothesis, H, as follows. Ho: H=7 H: u#7 Suppose you also know the following information. The value of the test statistic based on the sample is - 1.845 (rounded to 3 decimal places). The p-value is 0.065 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. O Two-tailed Step 2: Enter the test statistic. (Round to 3 decimal places.) 0.3 Step 3: Shade the area represented by the p- value. 0.2 Step 4: Enter the p- value. (Round to 3 decimal places.) (b) Based on your answer to part (a), which statement below is true? Since the p-value is less than (or equal to) the level of significance, the null hypothesis is rejected. Since the…
The proportion of defective items is not allowed to be over 12%. A buyer wants to test whether the proportion of defectives in his shipment of 1000 items exceeds the allowable limit. The buyer takes a SRS of 100 items and finds that 19 are defective. State the null and alternative hypotheses for this test. Group of answer choices Ho: p = 0.12 vs Ha: p > 0.12 Ho: p = 0.19 vs Ha: p ≠ 0.12 Ho: p = 0.12 vs Ha: p < 0.19 Ho: p = 0.12 vs Ha: p = 0.19
What is the critical t score if you are testing a one-tailed hypothesis, α level of .05 with df = 36? a. 1.671 b. 2.026 c. 2.028 d. 1.697
If you collect data from a random sample of 10 students and we would like test for statistical significance at the 0.05 level, what critical r value must be obtained? O .602 O.632 0.708 O .576
A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that you're interested in the mean score, μ, on this subsection among the general population. You decide that you'll use the mean of a random sample of scores on this subsection to estimate H. What is the minimum sample size needed in order for you to be 99% confident that your estimate is within 5 of u? Use the value 23 for the population standard deviation of scores on this subsection. Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.) Continue 2 3 X S $ 4 O % 5 6 & 7 Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center 8 9 ) Submit Assignment Accessibility 0 ? OO
3/ a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? The test statistic, t, The P-value is State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. D. Reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights…
The average age of managers in a particular industry is over 35 years old, and we wishe to prove this. The null hypothesis to conduct a statistical test on this theory would be: the population mean is ˃ 35, or the population mean is ≤ 35 or the population mean = 35 or the population mean is ≥ 35.
A December 2017 Gallup Poll reported that 43% of Americans use the internet for an hour or more each day. You suspect that a greater proportion of students at your school use the internet that much. You take a random sample of 60 students and find that 36 of them use the internet for an hour or more each day. Assume your school has more than 600 students. You will test the hypotheses H, : p = 0.43, H,:p>0.43 , where p= the true proportion of students at your school who use the internet for an hour or more each day. Which of the following gives the correct test statistic for this test? 0.43 - 0.6 Z = (0.6)(0.4) 60 0.43-0.6 (0.6)(0.4) 600 0.6-0.43 (0.6)(0.4) 60 0.6 - 0.43 (0.43)(0.57) 60 36 - 60 (36)(24) 60
N 14 problem. che cable shows the number of smokers in a random sample of 500 adults aged 20-24 nd the number of smokers in a random sample of 450 adults aged 25-29. Assume that you plan to use a significance level of alpha 0.10 to test the claim that pı p2- Find the critical value(s) for this hypothesis test. Do the data provide sufficient evidence that the proportion of smokers in the 20-24 age group is different from the proportion of smokers in the 25-29 age group? Age 20-24 500 Age 25-29 450 Number in sample Number of smokers 110 63 z = 1.645: yes z = + 1.28; yes O z = + 1.96; no z = 1.28; no
Suppose there is a claim that a certain population has a mean, µ, 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, H and the alternative hypothesis, H, as follows. Ho: µ=9 H1: µ#9 Suppose you also know the following information. The value of the test statistic based on the sample is 1.745 (rounded to 3 decimal places). The p-value is 0.081 (rounded to 3 decimal places). (a) Complete the steps below for this hypothesis test. Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Two-tailed 03+ Step 2: Enter the test statistic. (Round to 3 decimal places.) 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 than (or equal to) the…

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