A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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- Suppose that in a random selection of 100 colored candies, 26% of them are blue. The candy company claims that the percentage of blue candies is equal to 25%. Use a 0.05 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho: p=0.25 H₁: p>0.25 OB. Ho: p=0.25 H₁: p=0.25 O C. Ho-p=0.25 H₁: p<0.25 lete OD. Ho: p=0.25 H₁: p=0.25 Identify the test statistic for this hypothesis test.arrow_forward2arrow_forwardSome people claim that they can tell the difference between a diet soda and a regular soda in the first sip. A researcher wanting to test this claim randomly sampled 84 such people. She filled 84 plain white cups with soda, half diet and half regular through random assignment, and asked each person to take one sip from their cup and identify the soda as diet or regular. 51 participants correctly identified the soda. Conduct and interpret a hypothesis test for the following question: are these people any better or worse at telling the difference between diet and regular soda than random guessing (correctly identify soda half of the time)? HINT: what is your hypothesized proportion if you want to test if these participants are right or not half of the time? Use a = .01 significance level. Solve Critical value:arrow_forward
- A store owner wanted to determine if more than 5% of customers made a purchase after he sent out a text. He sent out 300 texts to 300 randomly selected customers. Out of those 300, 17 made purchases. Is this evidence that if he sent out texts to all of his customers more than 5% would make purchases? What is the appropriate null and alternative hypothesis? Ho: p= 0.05 Ha: p> 0.05 O Ho: phat = 0.05 Ha: phat > 0.05 O Ho: p= 0.056 Ha: p > 0.056 O Ho: mu = 0.05 Hla: mu > 0.05arrow_forwardUse technology to find the P-value for the hypothesis test described below.The claim is that for a smartphone carriers data speeds at airports, the mean is 12.00 Mbps. The sample size is n=21 and the test statistic is t=-1.149. Find the P-value. (Round to three decimal places as needed.)arrow_forwardSuppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%. Use a 0.01 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p= 0.29 H,: p 0.29 О В. Но: р#0.29 H,:p=0.29 Ос. Но: р30.20 H4:p>0.29 O D. Ho:p=0.29 H:p<0.29 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.)arrow_forward
- A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 282 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related? Vaccination Status Diseased Not Diseased Total Vaccinated 54 124 178 Not Vaccinated 71 33 104 Total 125 157 282 Copy Data Step 7 of 8: Make the decision to reject or fail to reject the null hypothesis at the 0.025 level of significance.arrow_forwardSuppose that in a random selection of 100 colored candies, 25% of them are blue. The candy company claims that the percentage of blue candies is equal to 26%. Use a 0.01 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.26 H₁: p0.26 O C. Ho: p=0.26 H₁: p=0.26 O D. Ho: p=0.26 H₁: p=0.26 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. O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 26% B. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 26% C. Fail to reject Hỏ. There is…arrow_forwardquestions : "determine the null and alternative hypotheses" and the pnes below it.arrow_forward
- Suppose that in a random selection of 100 colored candies, 24% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%. Use a 0.05 significance level to test that claim. H,: p>0.29 OC. H, p=0.29 H, p#0.29 O D. Ho p+0.29 H, p=0.29 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. O A. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 29% O B. Fail to reject H. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to 29% O C. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the percentage of blue candies is equal to…arrow_forwardAssume that you plan to use a significance level of a= 0.05 to test the claim that p1 = p2 . Use the given sample sizes and numbers of successes to find the P-value for the hypothesis test. n1 = 50 x1 = 8 n2 = 50 x2 = 7arrow_forwardSuppose that in a random selection of 100 colored candies, 21% of them are blue. The candy company claims that the percentage of blue candies is equal to 20%. Use a 0.10 significance level to test that claim. H, p#0.2 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.)arrow_forward
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- A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
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ISBN:9780134753119
Author:Sheldon Ross
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