When testing a two-tailed statistical hypothesis test, we fail to reject the null hypothesisif:A. The value of the hypothesized parameter is smaller than the sample statistic.Your test statistic falls in one of the rejection regions.C. The significance level is smaller than the p-value.D. Type Il error is committed.В.AВAnswerSuppose a 99% confidence interval for the proportion of children in Penang whoundergo speech treatment is 0.19 to 0.27. It is reasonable to say the followingEXCEPT:А.We can say that less than 27% of children in Penang undergo speechtreatment.В.We fail to reject the hypothesis that 23% of children in Penang undergo speechtreatment.C.We can say that between 19% and 27% of the children in the populationundergo speech treatment.We can say that between 19% and 27% of the children in the sample undergoa speech treatment.D.AВAnswer

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When testing a two-tailed statistical hypothesis test, we fail to reject the null hypothesis if: А. The value of the hypothesized parameter is smaller than the sample statistic. В. Your test statistic falls in one of the rejection regions. C. The significance level is smaller than the p-value. D. Type Il error is committed. A В D Answer

When testing a two-tailed statistical hypothesis test, we fail to reject the null hypothesis if: А. The value of the hypothesized parameter is smaller than the sample statistic. В. Your test statistic falls in one of the rejection regions. C. The significance level is smaller than the p-value. D. Type Il error is committed. A В D Answer

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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Q13
Find the P-value for the indicated hypothesis test with the given standardized test statistics z. Decide whether to reject H0 for the given level of significance α. Left-tailed test, z=-1.32, α=0.10 Right-tailed test, z=2.46, α=0.01 Two-tailed test, z=-1.68, α=0.05
Test the claim that the proportion of men who own cats is larger than 20% at the .05 significance level. The null and alternative hypothesis would be: 0.2 Но: р — 0.2 Но: д 0.2 Но:р Но: и Н: + 0.2 Н]:р 0.2 Hi:д > 0.2 Hi:р+0.2 0.2 Но:р — 0.2 Но: д 0.2 The test is: left-tailed two-tailed right-tailed Based on a sample of 25 people, 25% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis Reject the null hypothesis
Test the claim that the mean GPA of night students is larger than 2.4 at the 0.025 significance level. The null and alternative hypothesis would be: Ho p≥ 0.6 Ho:μ ≤ 2.4 Ho:p ≤ 0.6 H₁ p 2.4 H₁:p > 0.6 Ho:. :p= 0.6 Ho:} > 2.4 Ho: = 2.4 H₁:p‡ 0.6 H₁:μ< 2.4 H₁:µ ‡ 2.4 The test is: two-tailed left-tailed right-tailed Based on a sample of 60 people, the sample mean GPA was 2.41 with a standard deviation of 0.02 The p-value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
A random sample of 843 births included 432 boys. Use a 0.10 significance level to test the claim that 50.6% of newborn babies are boys. Do the results support the belief that 50.6% of newborn babies are boys? ..... Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p=0.506 H1: p>0.506 О В. Но: р30.506 H1: p<0.506 ОС. Но: р3D0.506 H1: p#0.506 O D. Ho: p#0.506 H1: p=0.506
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Test the claim that the mean GPA of night students is larger than 3.1 at the 0.01 significance level. The null and alternative hypothesis would be: Но: р — 0.775 Но:р> 0.775 Но: и — 3.1 Но:р 3.1 Н:р+ 0.775 Hi:р 3.1 H]:p > 0.775 Hi:р < 3.1 The test is: right-tailed two-tailed left-tailed Based on a sample of 80 people, the sample mean GPA was 3.14 with a standard deviation of 0.07 The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
Test the claim that the mean GPA of night students is larger than 2.4 at the 0.025 significance level. The null and alternative hypothesis would be: Ho: µ = — 2.4 Но:р 2.4 Н: + 2.4 H:p> 0.6 H:д> 2.4 Hi:p #0.6 Hi:p < 0.6 Н:р < 2.4 The test is: left-tailed two-tailed right-tailed Based on a sample of 65 people, the sample mean GPA was 2.41 with a standard deviation of 0.03 The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
3. 01:26:35 The following two-way table shows the distribution of daily traffic and weather issues in a certain large city. Suppose a day from this city is selected at random. Let event A = heavy traffic and event B = bad weather. Are events A and B independent? Daily Traffic No, P(A) = P(B|A). Нeavy Traffic Light Traffic Total O No, P(A) + P(A|B). O Yes, P(A) = P(A|B). O Yes, P(A) + P(B|A). Bad Weather 25 30 Good Weather 55 15 75 Total 80 20 100 Weather Conditions
Test the claim that the proportion of men who own cats is larger than 20% at the .05 significance level. The null and alternative hypothesis would be: 0.2 Но:р — 0.2 Но: и 0.2 Ho:H Ho:H H:р + 0.2 Н]:р 0.2 Hi:р > 0.2 Hi:р#0.2 0.2 Но:р || The test is: left-tailed two-tailed right-tailed Based on a sample of 25 people, 25% owned cats The test statistic is: (to 2 decimals) The critical value is: (to 2 decimals) Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis
When conducting a significance test in practice, how should you choose the alpha level? a) Always use alpha=0.05 since it's the most appropriate for every situation. b) Always use alpha=0.05 since it's the most commonly used one. c) Use a larger alpha when the consequences of mistakenly rejecting the null hypothesis are more serious. d) Use a smaller alpha when the consequences of mistakenly rejecting the null hypothesis are more serious.
Consider a drug testing company that provides a test for marijuana usage. Among 293 tested subjects, results from 29 subjects were wrong (either a false positive or a false negative). Use a 0.01 significance level to test the claim that less than 10 percent of the test results are wrong. Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p= 0.1 H1: p#0.1 О В. Но: р30.1 H1: p0.1 O D. Ho: p<0.1 H1:p= 0.1 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.)