x: 5, 5, 5, 2, 6, 5, 4, 3, 7, 3y: 13, 13, 12, 12, 14, 17, 12, 12, 15, 7Conduct a hypothesis test with a 5% level of significance to determine whether or not the operativetime and the length of a patient's hospital stay are correlated.Step 1: State the null and alternative hypotheses.Ho:p =vH.:p #(So we will be performing a two-tailedtest.)Part 2 of 4Step 2: Determine the features of the distribution used to test the significance of thecorrelation coefficient.To test the significance of the correlation coefficient, we will use a t-distributionwith8degrees of freedom.Part 3 of 4Step 3: Find the p-value of the point estimate.P( 22.18P(r 2v 0.050.05p-valueQuestion Help: D Post to forum Part 1 of 4Does the length of a surgery patient's stay in the hospital depend on the length of time theoperation took? The table below gives the operative time (in hours) and the length of the hospitalstay (in days) for 10 patients. (Comma separated lists of the data are also provided below the tableto ease in copying the data to R.)Operative Time (x)Length of Hospital Stay (y)131312126.145174123.127157x: 5, 5, 5, 2, 6, 5, 4, 3, 7, 3y: 13, 13, 12, 12, 14, 17, 12, 12, 15, 7Conduct a hypothesis test with a 5% level of significance to determine whether or not the operativetime and the length of a patient's hospital stay are correlated.Step 1: State the null and alternative hypotheses.Ha:p #v 0v test.)(So we will be performing a two-tailedPart 2 of 4

The data values are given as follows. Operative time: x Length of hospital stay: y 5 13 5 13…

x: 5, 5, 5, 2, 6, 5, 4, 3, 7, 3 y: 13, 13, 12, 12, 14, 17, 12, 12, 15, 7 Conduct a hypothesis test with a 5% level of significance to determine whether or not the operative time and the length of a patient's hospital stay are correlated. Step 1: State the null and alternative hypotheses. Ho:PE Ha:p #v (So we will be performing a two-tailed v test.) Part 2 of 4 Step 2: Determine the features of the stribution used to test the significance of the correlation coefficient. To test the significance of the correlation coefficient, we will use a t-distribution with 8 degrees of freedom. Part 3 of 4 Step 3: Find the p-value of the point estimate. = P([ vV 2v P(r| 2.18 V0.05 0.05 %3D p-value %3D

x: 5, 5, 5, 2, 6, 5, 4, 3, 7, 3 y: 13, 13, 12, 12, 14, 17, 12, 12, 15, 7 Conduct a hypothesis test with a 5% level of significance to determine whether or not the operative time and the length of a patient's hospital stay are correlated. Step 1: State the null and alternative hypotheses. Ho:PE Ha:p #v (So we will be performing a two-tailed v test.) Part 2 of 4 Step 2: Determine the features of the stribution used to test the significance of the correlation coefficient. To test the significance of the correlation coefficient, we will use a t-distribution with 8 degrees of freedom. Part 3 of 4 Step 3: Find the p-value of the point estimate. = P([ vV 2v P(r| 2.18 V0.05 0.05 %3D p-value %3D

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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Test the claim about the population mean, at the given level of significance using the given sample statistics. Claim 50, a0.04, 351. Sample statistics i 48 2, n- 72 Identily the null and alternative hypotheses. Choose the corect answer below OA. H: p 50 H, p50 OB. H: 50 H, pe50 OC. Họ p> 50 D. H 50 H, 50 OE Ho 50 H, 50 OF. H: p= 50 Calculate the standardized test statistic The standardized test statistic is -4.35. (Round to two decimal places as needed) Determine the critical value(s) Select the corect choice below and flin the answer box to complete your cholce. (Round to two decimal places as needed) OA. The critical value is O B. The critical values are
Test the claim that the mean GPA of night students is significantly different than 2.5 at the 0.1 significance level. The null and alternative hypotheses would be: Ho p=0.625 Hop=2.5 Ho: p=0.625 Ho: : H₁: p > 0.625 The test is: right-tailed left-tailed two-tailed о :p = 0.625 Hoμ = 2.5 H₁ μ = 2.5 o H₁:μ> 2.5 H₁: p < 0.625 H₁: p0.625 H₁: μ2.5 H₁: μ< 2.5 Based on a sample of 35 people, the sample mean GPA was 2.47 with a standard deviation of 0.06 The p-value is: -1.645 The positive significance level is: .10 Based on this we: OTT Reject the null hypothesis Fail to reject the null hypothesis X (to 3 decimals) o(to 2 decimals)
You wish to test the following claim (Ha) at a significance level of a = 0.01. H.:P1 = P2 Ha:P1 > P2 The 1st population's sample has 74 successes and a sample size = 371. The 2nd population's sample has 47 successes and a sample size = 396. What is the test statistic (z-score) for this sample? (Round to 3 decimal places.) test statistic = What is the p-value for this sample? (Round to 3 decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null O fail to reject the null accept the null As such, the final conclusion is that... O The sample data support the alternate hypothesis claim that p1 > p2. O There is not sufficient sample evidence to support the alternate hypothesis claim that p1 > p2.
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A researcher wants to know if there is a statistically significant difference between Liberal Arts majors and other students on average number of books (other than those required by course work) read per year. To test this research question, sample students attending a large university have been randomly selected. Using the sample information suggested below, conduct a hypothesis test at 0.05 significance level. Sample 1 (Liberal Arts majors) Sample 2 (Other majors) = 16.2 = 13.7 s1 = 2.3 s2 = 9.0 N1 = 236 N2 = 321 - What is the critical Z-score? - Compute the test statistic value (i.e., calculated or obtained Z-score). -Determine if the null hypothesis is rejected AND state what it means.
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10
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