Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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- 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 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 H: p0.26 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.arrow_forwardIn a small town in Colorado, it was found that 54% of the population support Candidate Randy. In a random sample of 180 residents of this small town, it was found that 85 of them support Randy. Perform a test to determine if less than 54% of the population support Randy. Use a significance level of 0.01%. a. Check all of the requirements that are satisfied. ✔random O the O the ✔ the or b. Identify the null and alternative hypotheses. Enter the parameter as a decimal. Ho: P H₁: p distribution is normal since n > 30 distribution is normal since the distribution is normal distribution is normal since np > 10 and ng > 10 08 Dr 0.54 0.54 08 Or c. What type of hypothesis test should you conduct (left, right, or two-tailed)? Ⓒleft-tailed Oright-tailed two-tailed d. Identify the appropriate significance level. Make sure to enter your answer as a decimal. e. Which calculator function should you use? 1-PropZ Test Y f. Find the test statistic. Write the result below, and be sure to round your…arrow_forwardA population is known to have a mean of µ = 45. A treatment is expected to increase scoresfor individuals in this population.a. Determine if you should use a one or two-tailed hypothesis test.b. Write your null and alternative hypothesis in words.c. Write your null and alternative hypothesis in numbers and symbols (AKA as anequation)arrow_forward
- Please Answer the question in the screenshot providedarrow_forwardPlease find question details in the attached photo.arrow_forwardA baseball team claims that the mean length of its games is 1.6 hours. State H0 and Ha in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning. State the null hypothesis in words and in symbols. Choose the correct answer below. A. The null hypothesis expressed in words is, "the mean length of a baseball team's games is 1.6 hours." The null hypothesis is expressed symbolically as, "H0: μ=1.6." B. The null hypothesis expressed in words is, "the mean length of a baseball team's games is more than 1.6 hours." The null hypothesis is expressed symbolically as, "H0: μ≠1.6." C. The null hypothesis expressed in words is, "the mean length of a baseball team's games is at most 1.6 hours." The null hypothesis is expressed symbolically as, "H0: μ≤1.6." D. The null hypothesis expressed in words is, "the mean length of a baseball team's games is…arrow_forward
- Suppose that in a random selection of 100 colored candies, 29% of them are blue. The candy company claims that the percentage of blue candies is equal to 28%. Use a 0.01 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. OA. Ho: P 0.28 H₁ p=0.28 OB. Ho p=0,28 H₁ p0.28 O D. Ho p=0.28 H₁ p 0.28 Identify the test statistic for this hypothesis test harrow_forwardThe table to the right includes results from polygraph experiments. In each case, it was known if the subject lied or not, so the table indicates when the polygraph test was correct. Use a 0.05 significance level to test the claim that whether a subject lies is independent of the polygraph test indication. Do the results suggest that polygraphs are effective in distinguishing between truths and lies? State the null and the alternative hypotheses. Choose the correct answer below. O A. Ho: The row and column variables are independent. H₂: The row and column variables are dependent. OB. Ho: At least one of the values is different from the others. Ha: All values in the table are equal. OC. Ho: All values in the table are equal. Ha: At least one of the values is different from the others. Polygraph indicated that subject lied Polygraph indicated that subject did not lie O D. Ho: The row and column variables are dependent. H₂: The row and column variables are independent. Did the subject…arrow_forwardIn 2011, a U.S. Census report determined that 52% of college students are working students. A researcher thinks this percentage has changed and surveys 182 college students. The researcher reports that 106 of the 182 are working students. Is there evidence to support the researcher's claim at the 1% significance level? a. Determine the null and alternative hypotheses. Ho:p = H1: p ?V (Select the correct symbol and enter the value.) b. Determine the test statistic. Round to two decimal places. c. Find the p - value. Round to four decimal places. p- value = d. Are the results statistically significant? O Fail to reject the null hypothesis. O Reject the null hypothesis. e. Write the conclusion. O There is not sufficient evidence to support the claim that the percentage of working college students has changed. O There is sufficient evidence to support the claim that the percentage of working college students has changed.arrow_forward
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