Answered: Test all at a 5% significance level.

Math

Statistics

Test all at a 5% significance level.

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 random sample of 200 students is taken at the University of Ottawa in order to determine the true proportion p who smoke marijuana. It is observed that 130 smoke marijuana. We wish to test Ho p = 0.75 H₁ p < 0.75 at the 0.05 significance level. The value of the test statistic and the decision are -3.27 reject the null hypothesis 3.27 do not reject the null hypothesis 2.45 reject the null hypothesis -2.45 reject the null hypothesis
Assume that matched pairs of data from a poll of Internet users who were asked if they make travel plans through the Internet result in 304 positive signs, 278 negative signs, and 35 ties when the value of the secon variable is subtracted from the corresponding value of the first variable. Use the sign test with a 0.05 significance level to test the null hypothesis of no difference. Let ₁ denote the median of the first variable and 12 denote the median of the second variable. What are the null and alternative hypotheses? O A. Ho: 1₁2 112 H₁:1₁ <1₂ OC. Ho: 11₁ 112 H₁: 1₁ <12 O B. Ho: 11 #11₂ H₁:1₁ =1₂ O D. Ho: 111 112 H₁:1₁ #1₂ Find the test statistic. Test statistic = Find the P-value. P-value= (Round to four decimal places as needed.) Does the null hypothesis of no difference hold? (Round to two decimal places as needed.) O A. Since the P-value is less than the significance level, reject the null hypothesis of no difference. O B. Since the P-value is greater than the significance…
Suppose that we are testing a null hypothesis H0 about a populationproportion, using p-value techniques. If we are using a single set of data, which of the following are notpossible? (Select all that apply. You do not need to explain.)(a) We reject H0 at the 0.10 significance level, and reject H0 at the 0.05 significance level.(b) We reject H0 at the 0.10 significance level, and fail to reject H0 at the 0.05 significance level.(c) We fail to reject H0 at the 0.10 significance level, and reject H0 at the 0.05 significance level.(d) We fail to reject H0 at the 0.10 significance level, and fail to reject H0 at the 0.05 significance level
Suppose 450 subjects are treated with a drug that is used to treat pain and 140 of them developed nausea. Use a 0.05 significance level to test the claim that more than 205% of users develop nausea. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Show word count ( Previous Next
Suppose 219 subjects are treated with a drug that is used to treat pain and 55 of them developed nausea. Use a 0.10 significance level to test the claim that more than 20% of users develop nausea.
A random sample of 866 births included 430 boys. Use a 0.01 significance level to test the claim that 51.2% of newborn babies are boys. Do the results support the belief that 51.2% of newborn babies are boys? Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.512 H₁: p>0.512 OB. Ho: p 0.512 H₁: p=0.512 C. Ho: p=0.512 H₁: p 0.512 OD. Ho: p=0.512 H₁: p<0.512 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is -0.91. (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is ☐ (Round to three decimal places as needed.)
Suppose that in a random selection of 100 colored candies, 22% of them are blue. The candy company claims that the percentage of blue candies is equal to 30%. Use a 0.10 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.3 H₁: p=0.3 O B. Ho: p=0.3 H₁: p=0.3 C. Ho: p=0.3 H₁: p>0.3 O D. Ho: p=0.3 H₁: p<0.3 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% B. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 30% O C. Fail to…
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Assume that matched pairs of data from a poll of Internet users who were asked if they make travel plans through the Internet result in 373 positive signs, 333 negative signs, and 22 ties when the value of the second variable is subtracted from the corresponding value of the first variable. Use the sign test with a 0.10 significance level to test the null hypothesis of no difference. Let ₁ denote the median of the first variable and 12 denote the median of the second variable. Wha are the null and alternative hypotheses? A. Ho: 1₁ #1₂ H₁:1₁ =11₂ C. Ho: 1₁ =1₂ H₁:1₁ <1₂ Find the test statistic. Test statistic = needed.) OB. Ho: 1₁ 2112 H₁:1₁ <1₂ D. Ho: 1₁ =112 H₁:1₁ #1₂ (Round to two decimal places as
A random sample of 841 births included 430 boys. Use a 0.05 significance level to test the claim that 50,7% of newbom babies are boys. Do the results support the belief that 50.7% of newbon babies are boys? Identify the null and alternative hypotheses for this test. Choose the correct answer below. VA. Ho:p=0.507 H:p#0.507 O B. Ho: p=0.507 H:p>0.507 O C. Ho: p=0.507 H:p<0.507 O D. Ho: p+0.507 H:p=0.507 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is. (Round to two decimal places as needed.)
Suppose 249 subjects are treated with a drug that is used to treat pain and 51 of them developed nausea. Use a 0.05 significance level to test the claim that more than 20% of users develop nausea. Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Ho: p= 0.20 H1: p>0.20 В. Но: р> 0.20 H1:p= 0.20 Ос. Но: р3D0.20 H1:p<0.20 D. Ho: p= 0.20 H1:p#0.20 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.)
18. Assume a significance level of a = 0.05 and use the given information to complete parts (a) and (b) below. Original claim: Less than 49% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.3273. a. State a conclusion about the null hypothesis. (Reject Ho or fail to reject Ho.) Choose the correct answer below. A. Fail to reject Ho because the P-value is greater than a. B. Reject Ho because the P-value is less than or equal to a. O C. Reject Ho because the P-value is greater than a. O D. Fail to reject Ho because the P-value is less than or equal to a. b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? A. There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is less than 49%. O B. There is not sufficient evidence to support…