Complete the following hypothesis test. Ho:o2 < 4.36 Ha:o2 > 4.36 (Claim) s2 = 3.6 , a = 0.10 and n = 29 %3D Find a. The Critical Value x %3D b. The Test Statistic x = %3D The Chi-Square Test Statistic Degrees of Freedom (п - 1)s2 п - 1 %3D o2 c. Is this a left, right or two tailed test? Oright-tailed O left-tailed O two-tailed
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It is given that s2=3.6.
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- Test the claim that the mean GPA of night students is larger than 2 at the 0.10 significance level. The null and alternative hypothesis would be: Họ :p = 0.5 Họ:µ = 2 Ho:u 0.5 Ho:p 2 H1 :p + 0.5 H1:µ # 2 H1:µ > 2 H1:p 0.5 H1:µ < 2 The test is: left-tailed right-tailed two-tailed Based on a sample of 25 people, the sample mean GPA was 2.02 with a standard deviation of 0.05 The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesisTest the claim that the proportion of people who own cats is smaller than 10% at the 0.025 significance level. The null and alternative hypothesis would be: Ho p ≤ 0.1 Ho:μ = 0.1 Ho:p 0.1 H₁:p> 0.1 H₁:μ 0.1 H₁:p ‡ 0.1 O The test is: = left-tailed two-tailed right-tailed Based on this we: Based on a sample of 600 people, 5% owned cats The p-value is: Ho≥ 0.1 Ho: ≤0.1 Ho:p> 0.1 H₁:μ 0.1 H₁:p < 0.1 O O Reject the null hypothesis O Fail to reject the null hypothesis (to 2 decimals)Z-Test Z-Test Use the calculator displays to the right to make a decision to reject or fail to reject the null hypothesis at a significance level of α = 0.05. Inpt: Data Statsu #70 Ho:70 o:3.75 x:68.75 In:40 H:Ho Ho Ho Calculate Draw Choose the correct answer below. O A. Since the P-value is greater than x, fail to reject the null hypothesis. OB. Since the P-value is greater than x, reject the null hypothesis. OC. Since the P-value is less than x, reject the null hypothesis. O D. Since the P-value is less than x, fail to reject the null hypothesis. z=2.10818511 p=0.03501498 x = 68.75 n=40
- Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: H, 20; a = 0.05. Sample statistics: d= -2.2, s, = 1.5, n= 14 Identify the null hypothesis by writing its complement. O A Ho: Ha0 H: Ha =0 O B. Hg: Hg s0 OC. Ho: Ha =0 O D. Ho: Ha 0 H: Hg s0 The test statistic is t=. (Round to two decimal places as needed.)Answer these questions A, B, C and D questionMolly works for a meat producer, and she needs to determine whether containers of ground beef have the correct fat content. She obtains a random sample of 120 containers of ground beef and finds that 84 percent have the correct fat content. Molly then conducts a hypothesis test of H0:p=0.80H0:p=0.80 versus Ha:p≠0.80Ha:p≠0.80 and calculates a test statistic of 1.10 with a pp-value of 0.273. Which of the following best represents the meaning of the pp-value? If the population proportion is 0.84, the probability of observing a sample proportion of 0.80 is 0.273. A If the population proportion is 0.84, the probability of observing a sample proportion of at least 0.04 less than 0.84 is 0.273. B If the population proportion is 0.80, the probability of observing a sample proportion within 0.04 of 0.80 is 0.273. C If the population proportion is 0.80, the probability of observing a sample proportion at least 0.04 greater than 0.80 is 0.273. D If the…
- Test the claim that the mean GPA of night students is larger than 2.6 at the 0.01 significance level. The null and alternative hypothesis would be: Ho:p > 0.65 Ho:p 2.6 H1:p 0.65 H1:p+ 0.65 H1:µ > 2.6 H1:µ + 2.6 H:µ < 2.6 %3D The test is: two-tailed right-tailed left-tailed Based on a sample of 65 people, the sample mean GPA was 2.63 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 Fail to reject the null hypothesis O Reject the null hypothesisTest the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastline students at the 0.01 significance level. The null and alternative hypothesis would be: Ho:Po = Pc Ho:Po > Pc Ho:µ0 µc H1: Ho Pc H1:µo + HC The test is: two-tailed left-tailed right-tailed The sample consisted of 55 Orange Coast students, with a sample mean GPA of 3.46 and a standard deviation of 0.08, and 55 Coastline students, with a sample mean GPA of 3.49 and 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 Fail to reject the null hypothesis Reject the null hypothesisTest the claim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.025 significance level. The null and alternative hypothesis would be: Ho: HN S HD Ho:pN 2 PD Ho:PN = PD Ho:UN = HD Ho: PN HD H:PN PD H1: µN Next Question hp
- 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 hypothesisUnder what circumstances is a t statistic used instead of a z-score for a hypothesis test? Justin wants to know whether a commonly prescribed drug does improve the attention span of students with attention deficit disorder (ADD). He knows that the mean attention span for students with ADD who are not taking the drug is 2.3 minutes long. His sample of 12 students taking the drug yielded a mean of 4.6 minutes. Justin can find no information regarding σx , so he calculated s2x =1.96. Determine the critical region using a one-tailed test with alpha = .05. Conduct the hypothesis test (Do the math and compare the t-critical and t-obtained values). State your conclusions in terms of H0 (Should you reject the H0 or fail to reject/accept the H0). Based on your analysis, is there a relationship between the drug and attention span?[13] How does p-value relate to null hypothesis? a. Reference for making decisions about the null hypothesis b. Illustrates how bad the null hypothesis was crafted c. Provides a scale to check the validity of the null hypothesis d. All of the above