Consider the following hypothesis test.Ho: 1-₂ ≤0H₂: μ1 −μ₂ > 0The following results are for two independent samples taken from the twopopulations.Sample 1Sample 2n₁ = 4512₂ = 55*₂ = 22.70₁ = 5.10₂ = 6.0a. What is the value of the test statistic (round to 2 decimals)?b. What is the p-value (round to 4 decimals)? Use z-value rounded to 2decimal places.c. With a = 0.05, what is your hypothesis testing conclusion?p-value is less than or equal to 0.05, rejectHo1 = 24.6 Consider the hypothesis test below.Ho: P₁P2 ≤0H₂ : P₁ - P2 > 0The following results are for independent samples taken from the twopopulations.Sample 1Sample 2n₁ = 100n1n₂ = 300P₁ = 0.26P2 = 0.15Use pooled estimator of p.a. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B.b. With a = 0.05, what is your hypothesis testing conclusion?Conclude the difference between the proportions is greater than 0

Sample Mean = 24.6 Population Standard Deviation () = 5.1 Sample Size(n1) = 45…

Answered: a. What is the value of the test…

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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If, in a one-tail hypothesis test where H0 is only rejected in the upper tail, the p-value=0.6792 and ZSTAT=−0.47,what is the statistical decision if the null hypothesis is tested at the 0.07 level of significance? What is the statistical decision? Since the p-value is Less than or Greater than or equal to a= , Reject , Do not reject H0.
Consider the following hypothesis statement using α=0.10 and the following data from two independent samples. Complete parts a and b below. H0: p1−p2≥0 x1=74 x2=76 H1: p1−p2<0 n1=125 n2=170 a. Calculate the appropriate test statistic and interpret the result. What is the test statistic? What is/are the critical value(s)? b. Calculate the p-value and interpret the result. What is the p-value?
A fast-food restaurant claims that a small order of french fries contains 120 calories. A nutritionist is concerned that the true average calorie count is higher than that. The nutritionist randomly selects 35 small orders of french fries and determines their calories. The resulting sample mean is 155.6 calories, and the pp-value for the hypothesis test is 0.00093. Which of the following is a correct interpretation of the p-value? A)If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or more. B) If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or less. C)If the population mean is 120 calories, the p -value of 0.00093 is the probability of observing a sample mean of 155.6 calories or more, or a sample mean of 84.4 calories or less. .D)If the population mean is 155.6 calories, the p -value of 0.00093…
In testing hypotheses, which of the following would be strong evidence against the null hypothesis?a. Obtaining data with a test statistic of small magnitude.b. Obtaining data with a small P-value.c. Obtaining data with a large P-value.d. Using a large level of significance, α.e. Using a small level of significance, α
Also, using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2009 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2009 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?
Q1/ Consider the following hypothesis test : H0:μ 65 Ha:μ 65 A sample of size 15 provided a sample mean (63) and population standard deviation is (2). a-Compute the test statistic. b-Compute p-value from the table? What is the rejection rule ? and what is your conclusion at α=0.05? c-What is the rejection rule ,using critical vale approach? What is your conclusion at α=0.05? .............................................................................................................................. Q2/ Consider the following hypothesis test : H0:μ =12.5 Ha:μ ‡12.5 A sample of size 18 provided a sample mean (12.9) and sample standard deviation is (0.8). a-Compute the test statistic. b-Determine the range of p-value from the table of t-distribution? What is the rejection rule ?
Q1/Consider the following hypothesis test : H0:μ 65 Ha:μ 65 A sample of size 15 provided a sample mean (63) and population standard deviation is (2). a-Compute the test statistic. b-Compute p-value from the table? What is the rejection rule ? and what is your conclusion at α=0.05? c-What is the rejection rule ,using critical vale approach? What is your conclusion at α=0.05? ........................................................................................................................ Q2 /Consider the following hypothesis test : H0:μ =12.5 Ha:μ ‡12.5 A sample of size 18 provided a sample mean (12.9) and sample standard deviation is (0.8). a-Compute the test statistic. b-Determine the range of p-value from the table of t-distribution? What is the rejection rule ?
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a. What is the value of the test statistic (round to 2 decimals)? b. What is the p-value (round to 4 decimals)? Use z-value rounded to 2 decimal places. X c. With a = 0.05, what is your hypothesis testing conclusion? p-value is less than or equal to 0.05, reject Ho