Algebra students in a local high school use a computer-based program to brush up on algebra skills to be assessed by a test. The program claims that 80% of students using the program will pass the test. After an early pilot of the new program, only 33 of 50 students passed the test.A 1-proportion z test is going to be conducted to see if there's evidence that the true passing rate is less than what was claimed. The null hypothesis is p = 0.80.USE SALT(a) What is the alternative hypothesis?OH₂: p > 0.80ⒸH₂: P = 0.80ⒸH₂: P < 0.80OH₂: P = 0.80(b) What is the value of z, the test statistic? (Round your answer to two decimal places.)z =x(c) What is the P-value? (Use a table or technology. Round your answer to four decimal places.)x

Claim: 80% of students using the program will pass the test.Sample size Number of students passed…

Answered: a local high school use a…

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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A recent study by Munro et al found that 15% of college freshman were not happy with their choice of major. A random sample of 100 college juniors found that 10% were not happy with their major. Is there sufficient evidence to suggest that the proportion of students not happy with their major is smaller among juniors than a freshman? Use alpha = .05. I.State the hypotheses. II.Calculate the test statistic. III.Find the p-value. IV.Make a statistical decision. V.State your conclusion in the context of the problem.
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You are conducting a significance test of H0: μ = 7.2 against Ha: μ < 7.2. After checking the conditions are met from a simple random sample of 25 observations, you obtain t = - 1.45. Based on this result, describe the p-value. Group of answer choices The p-value falls between 0.05 and 0.1. The p-value falls between 0.025 and 0.05. The p-value falls between 0.02 and 0.025. The p-value falls between 0.005 and 0.01. The p-value is less than 0.005.
Professor Nord stated that the mean score on the final exam from all the years he has been teaching is a 79%. Colby was in his most recent class, and his class’s mean score on the final exam was 82%. Colby decided to run a hypothesis test to determine if the mean score of his class was significantly greater than the mean score of the population. α = .01. What is the mean score of the population? What is the mean score of the sample? Is this test one-tailed or two-tailed? Why?
Interpret a P-value: The manufacturer of a medication designed to lower blood pressure claims that the mean systolic blood pressure for people taking their medication is less than 135. To test this claim, blood pressure is measured for a sample of 500 people who are taking the medication. The P-value for testing Ho: μ = 135 versus H₁: µ< 135 is P = 0.001. a. The manufacturer concludes that because the P-value is very small, we can be fairly certain that the mean pressure is less than 135, but we cannot conclude that it is a lot smaller. Is this conclusion justified?
Assume that ρxy = .30 between weight and exercise for the population of normal adults. However, a researcher believes the relationship is stronger for children. The researcher tests a sample of 28 children and obtains an rxy = .47. Does this result support the researcher’s belief? Conduct an appropriate statistical test using an alpha level of .05.
please help me fill the rest thanks
Answers: 1.a) rXY = 0.461, t = 1.272, Do not reject H0: no evidence for a significant correlation between the two variables b) 43.66
Can you please help me with this statistics last math problem? Thank you!
If a treatment is expected to decrease scores in a population with µ= 30, then the alternative hypothesis is µ ≤ 30. True or false?
Physical properties of six flame-retardant fabric samples were investigated in an article. Use the accompanying data and a 0.05 significance level to determine whether a linear relationship exists between stiffness x (mg-cm) and thickness y (mm). O Ho: P = 0 H₂: P = 0 O Ho: P = 0 H₂:p>0 State the appropriate null and alternative hypotheses. O Ho: P = 0 Ha: P < 0 O Ho: P = 0 Ha: P = 0 X y r = 7.95 24.63 12.39 7.06 24.17 35.70 0.25 0.64 0.32 0.27 0.80 0.56 Compute the value of the sample correlation coefficient, r. Round your answer to four decimal places. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value = State the conclusion in the problem context. O Fail to reject Ho. The data does not indicate that the population correlation coefficient differs from 0. O Reject Ho. The data indicates that the population correlation coefficient differs from 0. O Reject Ho. The data does not…

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