Use the critical value method to test the null hypothesis Ho: B₁=0 versus H₁ : B₁ #0. Use the a=0.05 level of significance.
Q: From a hypothesis test, James computed the test statistic, Z = 2.94 for a right-tailed test. The…
A: Given that Test statistics Z = 2.94 Critical value Z = 2.08
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Q: Previously, 8.1% of workers had a travel time to work of more than 60 minutes. An urban economist…
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Q: Test the claim that the proportion of people who own cats is smaller than 90% at the 0.01…
A: State the hypotheses. Correct option: Option 2 Determine the tail of the test used. The tail…
Q: Test the claim that the proportion of men who own cats is smaller than the proportion of women who…
A: Given n1=20, p1=0.25 n2=40, p2=0.45 We want to test by using Z statistic
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Q: Test the claim that the proportion of men who own cats is larger than 40% at the .10 significance…
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Q: btained when testing the claim that p > 0.5. Identify the hypothesis test as being two-tailed,…
A: (1) A hypothesis is said to be one (or right-tailed) if the population parameter is greater than…
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A: Given: n= 10.0 ,x̄= 20.5 ,s= 4.5 µ= 20.0 ,significance level(∝)= 0.05 ,degree of freedom= 9.0
Q: sis would be: H0:pM=pF H1:pM≠pF H0:pM=pF H1:pM>pF H0:μM=μF
A: As given , Based on a sample of 20 men, 30% owned catsBased on a sample of 60 women, 55% owned cats…
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A: Given, Sample size = 20 Sample proportion = 0.30 Under the claim, the null and alternative…
Q: Test the claim that the mean GPA of night students is larger than 2.2 at the 0.025 significance…
A: The test hypotheses are: Null hypothesis: H0: μ ≤ 2.2 Alternative hypothesis: H1: μ > 2.2
Q: Test the claim that the mean GPA of night students is larger than the mean GPA of day students at…
A: Given, n1=25X1=3.343s1=0.04…
Q: Test the claim that the mean GPA of night students is smaller than 3 at the .01 significance level.…
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A: n = 30 , df = n-1 = 29
Q: Use the calculator displays to the right to make a decision to reject or fail to reject the null…
A: The null and alternative hypotheses are, H0: µ = 80 vs. H1: µ ≠ 80.
Q: Test the claim that the proportion of men who own cats is significantly different than the…
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Q: Test the claim that the mean GPA of night students is larger than 2.2 at the .10 significance level.…
A: Hypothesis testing is a statistical method for testing a claim about the population parameter.
Q: Sketch the test for ? = 0.03. Shade the rejection region when the null hypothesis is considered for…
A: two tail = 0.03 / 2 = 0.03 / 2 = 0.015 Z / 2 = Z0.015 = ±2.17 ( Using z table ) critical…
Q: Z-Test Inpt: Data Statsu50 Ho:50 :5.25 x:48.25 n:40 Use the calculator displays to the right to make…
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Q: The test statistic of z = 2.47 is obtained when testing the claim that p > 0.8. Identify the…
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Q: Test the claim that the mean GPA of night students is larger than 2.5 at the .005 significance…
A: Given,sample size(n)=55sample mean(x¯)=2.55standard deviation(s)=0.07α=0.005
Q: Test the claim that the proportion of people who own cats is significantly different than 80% at the…
A: Here, the claim is that the proportion of people who own cats is significantly different than…
Q: Test the claim that the mean GPA of night students is larger than 3.1 at the .025 significance…
A: Given Sample mean x̄=3.15, n=55, sample standard deviations s=0.03 , level of significance ɑ=0.025…
Q: Use the calculator displays to the right to make a decision to reject or fail to reject the null…
A: Decision rule: If p-value ≤ α, then reject the null hypothesis. Otherwise, fail to reject the null…
Q: est the claim that the proportion of men who own cats is smaller than 90% at the .05 significance…
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Q: Use the given information to find the P-value. Also, use a 0.05 significance level and state…
A: Solution: State the hypotheses. Null hypothesis: H0: p=0.377 Alternative hypothesis: H1:p≠0.377…
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Q: Test the claim that the proportion of men who own cats is smaller than the proportion of women who…
A: Consider that n1 and n2 are defined as the sample sizes for men and women respectively.
Q: Test the claim that the proportion of people who own cats is smaller than 30% at the 0.005…
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Q: Test the claim that the mean GPA of night students is smaller than 3.3 at the .025 significance…
A: Claimed mean of GPA students to be less than 3.3 Significance level = 0.025 Sample size (n) = 80…
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- The test statistic of z = 2.05 is obtained when testing the claim that p > 0.4. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. Find the P-value. Using a significance level of α = 0.10, should we reject H0 or should we fail to reject H0?Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .05 significance level.The null and alternative hypothesis would be: H0:μM=μFH1:μM<μF H0:pM=pFH1:pM<pF H0:pM=pFH1:pM>pF H0:pM=pFH1:pM≠pF H0:μM=μFH1:μM≠μF H0:μM=μFH1:μM>μF The test is: right-tailed left-tailed two-tailed Based on a sample of 20 men, 40% owned catsBased on a sample of 60 women, 55% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisUse the calculator displays to the right to make a decision to reject or fail to reject the null hypothesis at a significance level of a = 0.05. Z-Test Inpt: Data Stats u + 60 Ho:60 0:4.75 x:58.25 n:45 Z-Test z= - 2.47144355 p = 0.01345688 x = 58.25 In = 45 Calculate Draw Orl Orl + Choose the correct answer below. O A. Since the P-value is less than a, fail to reject the null hypothesis. B. Since the P-value is less than a, reject the null hypothesis. O C. Since the P-value is greater than a, fail to reject the null hypothesis. O D. Since the P-value is greater than a, reject the null hypothesis.
- After running a regression you conduct a hypothesis test of Ho: ß = 2.5 versus Hạ: B + 2.5 is performed using a = 0.10. The value of the test statistic z = -1.80 (the critical value is -1.645). If the true value of B is 2.5, does the conclusion you reach result in Type I, Type II error, or the correct decision? O Type II Error O Type I Error O correct decision not enough informationThe test statistic of z = 0.53 is obtained when testing the claim that p > 0.5. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. Find the P-value. Using a significance level of α = 0.05, should we reject H0 or should we fail to reject H0?Test the claim that the mean GPA of night students is larger than 3.2 at the .005 significance level.The null and alternative hypothesis would be: H0:p=0.8H1:p<0.8 H0:p=0.8H1:p>0.8 H0:μ=3.2H1:μ>3.2 H0:μ=3.2H1:μ≠3.2 H0:μ=3.2H1:μ<3.2 H0:p=0.8H1:p≠0.8 Based on a sample of 55 people, the sample mean GPA was 3.22 with a standard deviation of 0.03The test statistic is (to 3 decimals)The critical value is (to 3 decimals)Based on this we fail to reject the null hypothesis reject the null hypothesis
- Test the claim that the proportion of men who own cats is smaller than 90% at the .05 significance level.The null and alternative hypothesis would be: H0:μ=0.9H0:μ=0.9H1:μ>0.9H1:μ>0.9 H0:p=0.9H0:p=0.9H1:p>0.9H1:p>0.9 H0:p=0.9H0:p=0.9H1:p≠0.9H1:p≠0.9 H0:μ=0.9H0:μ=0.9H1:μ≠0.9H1:μ≠0.9 H0:μ=0.9H0:μ=0.9H1:μ<0.9H1:μ<0.9 H0:p=0.9H0:p=0.9H1:p<0.9H1:p<0.9 The test is: right-tailed two-tailed left-tailed Based on a sample of 65 people, 87% owned catsThe test statistic is: (to 2 decimals)The critical value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis I dont understand this.Test the claim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.10 significance level.The null and alternative hypothesis would be: H0:μN=μDH0:μN=μDH1:μN≠μDH1:μN≠μD H0:μN≥μDH0:μN≥μDH1:μN<μDH1:μN<μD H0:pN≥pDH0:pN≥pDH1:pN<pDH1:pN<pD H0:pN=pDH0:pN=pDH1:pN≠pDH1:pN≠pD H0:μN≤μDH0:μN≤μDH1:μN>μDH1:μN>μD H0:pN≤pDH0:pN≤pDH1:pN>pDH1:pN>pD The test is: right-tailed left-tailed two-tailed The sample consisted of 55 night students, with a sample mean GPA of 2.32 and a standard deviation of 0.05, and 55 day students, with a sample mean GPA of 2.37 and a standard deviation of 0.02.The test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisTest the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level.The null and alternative hypothesis would be: H0:pM=pFH0:pM=pFH1:pM<pFH1:pM<pF H0:μM=μFH0:μM=μFH1:μM≠μFH1:μM≠μF H0:pM=pFH0:pM=pFH1:pM≠pFH1:pM≠pF H0:pM=pFH0:pM=pFH1:pM>pFH1:pM>pF H0:μM=μFH0:μM=μFH1:μM>μFH1:μM>μF H0:μM=μFH0:μM=μFH1:μM<μFH1:μM<μF The test is: two-tailed right-tailed left-tailed Based on a sample of 60 men, 30% owned catsBased on a sample of 40 women, 40% owned catsThe 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 hypothesis Check AnswerQuestion 14
- Previously, 12.1% of workers had a travel time to work of more than 60 minutes. An urban economist believes that the percentage has increased since then. She randomly selects 80 workers and finds that 18 of them have a travel time to work that is more than 60 minutes. Test the economist's belief at the x = 0.1 level of significance. What are the null and alternative hypotheses? P = 0.121 versus H1: p Ho: p (Type integers or decimals. Do not round.) > 0.121 Because npo (1- Po) = < 10, the normal model may not be used to approximate the P-value. (Round to one decimal place as needed.)Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level.The null and alternative hypothesis would be: H0:μM=μFH0:μM=μFH1:μM<μFH1:μM<μF H0:pM=pFH0:pM=pFH1:pM<pFH1:pM<pF H0:pM=pFH0:pM=pFH1:pM≠pFH1:pM≠pF H0:pM=pFH0:pM=pFH1:pM>pFH1:pM>pF H0:μM=μFH0:μM=μFH1:μM>μFH1:μM>μF H0:μM=μFH0:μM=μFH1:μM≠μFH1:μM≠μF The test is: right-tailed left-tailed two-tailed Based on a sample of 40 men, 25% owned catsBased on a sample of 20 women, 30% owned catsThe 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 hypothesisA student performs a test of Ho p = 0.75 versus H, p < 0.75 at the a = 0.05 significance level and gets a P-value of 0.22. The student writes: 'Because the P-value is large, we accept Ho. The data provide convincing evidence that the null hypothesis is true." What should the student have written for their conclusion? Because the P-value is large, we fail to reject Ho. The data do not provide convincing evidence that the alternative hypothesis is true. O Because the P-value is large, we fail to reject Ho. The data provide convincing evidence that the alternative hypothesis is true. Becaus the P-value is small, we reject Ho. The data provide convincing evidence that the alternative hypothesis is true. Because the P-value is large, we accept Ho. The data do not provide convincing evidence that the alternative hypothesis is true. What the student wrote is correct.