In testing the hypotheses Hn=0.40, H:>0.40, at 5 % level of significance. if the sample proportion is 0.45 ar the sample size is 49; which one of the following statements is incorrect?
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Here given ,
n= sample size = 49
sample proportion = 0.45
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- We want to be at least 95% confident that the error is at most 0.06, then the sample size is.. A. 215 B. 267 C. 313 D. 425 E. None of the aboveher. If the candi needed? Because the p-hat is not A E = 0.07 c = 0.90 Solution Given information: Z. = 1.645 At c = 0.90 , n = pq () = 0.5(1 – 0.5) (4) 2 Minimum Sample Size to Estimate p : 0.07 139 (rounded up) Try This 8.3.2 wich to estimate, with 90% confidence, the population proportion of U.S. adults who are onfident in the stability of the U.S. banking system. Your estimate must be accurate within 3% of the nopulation proportion. Find the minimum sample size needed, using a prior study that found that 43% of U.S. adults are confident in the stability of the U.S. banking system. Confidence Interval Summary Mean with Standard Mean with Standard Proportions Deviation o Known Deviation o Unknown Critical Value Zc tc with d.f.=n – 1 E = tc n Margin of Error S E = Zc Jn E = Zc 的一”Test the claim about the population mean, µ, at the given level of significance using the given sample statistics. Claim: μ = 50; x = 0.03; o = 3.64. Sample statistics: x = 49.7, n = 70 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: μ = 50 Ha:μ>50 C. Ho: μ 50 H₂: H=50 MMMM D. Ho: μ = 50 Ha: μ< 50 OF. Ho: μ = 50 Ha: μ#50
- Test the claim about the population mean, μ, at the given level of significance using the given sample statistics. Claim: μ = 50; x = 0.09; a=3.15. Sample statistics: Xx=48.6, n=68 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: μ> 50 OB. Ho: #50 H₂:μ=50 H₂: H=50 OC. Ho: 50 Calculate the standardized test statistic. The standardized test statistic is -3.665. (Round to two decimal places as needed.) C example Get more help. OD. Ho: H=50 H₂: <50 F. Ho: H=50 H₂:μ#50 Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) ⒸA. The critical values are OB. The critical value is 0 Clear all Final checkIn each of Exercises, we have given a likely range for the observed value of a sample proportion p. a.Based on the given range, identify the educated guess that should be used for the observed value of ˆ p to calculate the required sample size for a prescribed confidence level and margin of error.b.Identify the observed values of the sample proportion that will yield a larger margin of error than the one specified if the educated guess is used for the sample-size computation. 0.7 or lessUse a t-test to test the claim about the population mean at the given level of significance using the given sample statistics. Assume the population is normally distributed. Claim: #253; a%30.05 Sample statistics: x-23.1, s=4.5, n=12 What are the null and alternative hypotheses? Choose the correct answer below. What is the value of the standardized test statistic? The standardized test statistic is (Round to two decimal places as needed.)
- estimate the population proportion p,what is the minimum sample size we need in order to achieve a margin of error no more than 0.01 with a 95% cinfidence level? Similar study in the past suggest an guess of 0.1 for the value of p.Test the claim about the population mean, p, at the given level of significance using the given sample statistics. Claim: u = 30; a = 0.09; o = 3.16. Sample statistics: x = 29.5, n = 66 Identify the null and alternative hypotheses. Choose the correct answer below. O B. H,: H= 30 Ha:u> 30 O A. Ho: H 30 Ha: u= 30 O E. Ho: H= 30 O F. Ho:H=30 Ha: H<30 Hi µ#30 Calculate the standardized test statistic. The standardized test statistic is. (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. The critical value is. O B. The critical values are t Determine the outcome and conclusion of the test. Choose the correct answer below.Given that degrees of freedom is 18 at 95% confidence level, the value of t =________.Select one:a. 1.383b. -1.717c. 2.101d. -1.383
- Use technology to help you test the claim about the population mean, u, at the given level of significance, a, using the given sample statistics. Assume the population is normally distributed. Claim: us1160; a= 0.08; o = 198.07. Sample statistics: x = 1182.77, n = 275 %3D Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: u> 1160 Hai HS1160 O B. Ho: p21182.77 HgiH 1160 O D. Ho: us1182.77 Ha:u> 1182.77 O E. Ho: u21160 Ha: µ1182.77 H3: µs 1182.77 Calculate the standardized test statistic. The standardized test statistic is. (Round to two decimal places as needed.) Determine the P-value. = (Round to three decimal places as needed.) Determine the outcome and conclusion of the test. enough evidence to Vthe claim. Ho. At the 8% significance level, therePerform the following hypothesis test of a proportion: HO: p = 0.125 HA: p 0.125 The sample proportion is 0.1 based on a sample size of 95. Use a 10% significance level. What is the p-value?A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 3 points with 99% confidence assuming s=17.8 based on earlier studies? Suppose the doctor would be content with 99% confidence. How does the decrease in confidence affect the sample size required? a. A 99% confidence level requires _______ subject. b. 90% confidence level requires ________ subject. c.How does the decrease in confidence affect the sample size required? a.Decreasing the confidence level decreases the sample size needed. b.Decreasing the confidence level increases the sample size needed. c.The sample size is the same for all levels of confidence.