Answered: Using a sample that has n=50 palr of…

Using a sample that has n=50 palr of data, we get a correlation coefficient r=-0,269 for the following null and alternative hypotheses determine and oompute the test statistic value: HO: p=0 H1: p# 0

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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What are the hypotheses for testing to see if a correlation is statistically significant? Hor=0: H₁r0 Ho: p=0: H₁p0 Ho: p= ±1: H₁p #±1 Ho: p = 0; H₁:p=1 Ho: r = ±1; H₁: r#±1
A study is conducted involving 15 patients to investigate the relationship between their age and systolic blood pressure. Is the relationship between age and systolic blood pressure negative using Pearson correlation coefficient? yes or no or cannot be determined What is the strength of correlation between age and systolic blood pressure? weak, moderate, strong, or very strong If the tabulated value of r is equal to 0.514 at αα=0.05, what is the decision using Pearson r correlation? accept or reject Ho
The correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient p i (Greek letter rho)? You do not know how to build the formal structure of hypothesis tests of p yet. However, there is a quick way to determine if the sample evidence based on p is strong enough to conclude that there is some population correlation between the variables. In other words, we can use the value of r to determine if p + 0. We do this by comparing the value Ir| to an entry in the correlation table. The value of a in the table gives us the probability of concluding that p + 0 when, in fact, p = 0 and there is no population correlation. We have two choices for a: a = 0.05 or a = 0.01. Critical Values for Correlation Coefficient r n a = 0.05 a = 0.01 a = 0.05 a = 0.05 a= 0.01 a= 0.01 3 1.00 1.00 13 0.53 0.68 23 0.41 0.53 4 0.95 0.99 14 0.53 0.66 24 0.40 0.52 0.88 0.96 15 0.51 0.64 25 0.40 0.51 0.81 0.92 16 0.50 0.61 26 0.39 0.50 0.61 0.59 0.58 7…
A study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAs. The results of the survey are shown below. Lovers 8 3 1 3 6 3 4 8 GPA 2.1 2.7 3.2 2.6 2.8 3.1 2.9 2.2 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:`H0: ` ? r ρ μ == 0`Ha:` ? r μ ρ ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study.
Q2) Which distribution is used to determine whether a correlation coefficient is statistically significant? 1. P-distribution 2. t-test distribution 3. One-sample t-test 4. Chi-squared test
Researchers want to know if there is a correlation between BMI and systolic blood pressure in males over 50. A random sample of 9 males is selected and their data is recorded below. a) Calculate the Pearson Correlation Coefficient for these two variables and b) test whether the correlation is significantly different from 0. Run the test at a 5% level of significance. Give each of the following: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work ID BMI Systolic blood pressure 1 18.5 122 2 20.0 112 3 22.3 120 4 25.4 136 5 26.9 140 6 28.7 117 7 30.4 152 8 32.7 165 9 33.4 162
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Test the significance at 0.05 level of the computed values of correlation r= 0.65 with a sample size of 10
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.
The correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient ?(Greek letter rho)? You do not know how to build the formal structure of hypothesis tests of ? yet. However, there is a quick way to determine if the sample evidence based on ? is strong enough to conclude that there is some population correlation between the variables. In other words, we can use the value of r to determine if ? ≠ 0. We do this by comparing the value |r| to an entry in the correlation table. The value of ? in the table gives us the probability of concluding that ? ≠ 0 when, in fact, ? = 0 and there is no population correlation. We have two choices for ?: ? = 0.05 or ? = 0.01. (a) Look at the data below regarding the variables x = age of a Shetland pony and y = weight of that pony. Is the value of |r| large enough to conclude that weight and age of Shetland ponies are correlated? Use ? = 0.05. (Round your answer for r to four decimal…
A paint company has large outlet stores in two cities. Ten samples of the weekly sales (in tons) for the two cities are as follows. City A: n = 10, X10 = 148.5, S1 = = 4.3. City B: n = 10, Y 10 = 144.2, S2 = 3.8. At a = 0.05 level of significance, test if the weekly sales are different. The following ¨answers" have been proposed. (a) The null hypothesis is that the weekly sales are the same and the alternative is that the they are not the same. By using an F test, we reject the null hypothesis. (b) The null hypothesis is that the weekly sales are the same and the alternative is that the they are not the same. By using an F test, we do not reject the null hypothesis. (c) The null hypothesis is that the weekly sales are the same and the alternative is that the they are not the same. By using a i test, we do not reject the null hypothesis. (d) The null hypothesis is that the weekly sales are the same and the alternative is that the they are not the same. By using a i test, we reject the…
You wish to test the following claim (H) at a significance level of a = Ho: P1 = P2 Ha: P₁ P2 You obtain a sample from the first population with 122 successes and 438 failures. You obtain a sample from the second population with 63 successes and 304 failures. test statistic = p-value = [three decimal accuracy] 0.001. [four decimal accuracy]