The null and alternate hypotheses are:He: T1 T₂H₁: T₁ T₂A sample of 100 observations from the first population indicated that x₁ is 70. A sample of 150 observations from the secondpopulation revealed x₂ to be 90. Use the 0.05 significance level to test the hypothesis.a. State the decision rule. (Round your answer to 2 decimal places.)HO is rejected if z>b. Compute the pooled proportion. (Round your answer to 2 decimal places.)Pooled proportion c. Compute the value of the test statistic. (Round your answer to 2 decimal places.)Value of the test statisticd. What is your decision regarding the null hypothesis?O RejectO Do not reject

sample size(n1)=100x1=70sample size(n2)=150x2=90significance level()=0.05The null and alternative…

Answered: The null and alternate hypotheses are:…

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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9. Please show TI 84 steps
In testing the hypotheses Ho: μ = 50 vs Ha: u #50, the following information is known: n-64, x-53.5 and o = 10. The standardized test statistic is: Ot=2.8 0t -2.8 z 2.8 Oz-2.8
A researcher has boiled her hypothesis test down to the following information. Ho: 40, H₂> 40, a = 0.04 z = 41.4271, 8 = 5.2586, n = 18 Find the p-value.
State the final conclusion that addresses the original claim. (Reject/Fail) to Reject H0. There is (sufficient/not sufficient) evidence to conclude that the original claim that the mean of the population of student course evaluations is equal to 4.25 (is/is not) correct.
A college entrance exam company determined that a score of 22 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 200 students who completed this core set of courses results in a mean math score of 22.6 on the college entrance exam with a standard deviation of 3.5. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 22 on the mathematics portion of the exam? Complete parts a) through d) below.
Which pair of hypotheses would be correct for the following claim: Claim: The average human body temperature is 98.6◦ F. A. H0 :μ=98.6and H1 :μ<98.6 B. H0 :μ<98.6andH1 :μ=98.6 C. H0 :μ=98.6andH1 :μ̸=98.6 D. H0 :μ̸=98.6andH1 :μ=98.6 E. H0 :μ=98.6andH1 :μ>98.6 F. H0 :μ>98.6andH1 :μ=98.6
Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correctsymbol (µ, p, Η) for the indicated parameter. An entomologist writes an article in a scientific journalwhich claims that fewer than 16 in ten thousand male fireflies are unable to produce light due to agenetic mutation. Use the parameter p, the true proportion of fireflies unable to produce light.
Need the H0 and H1 values. Can use != for not equal to.
e. Consider the following hypothesis test. H: 4, - H, = 0 H.:H,- H, #0 The following results are for two independent samples taken from the two populations. Sample 1 n, = 70 x; =106 o, = 8.4 a. What is the value of the test statistic? Sample 2 n, = 80 x, =108 0z = 7.6 b. What is the p-value? c. With a=0.01 , using the p-value approach, what is your hypothesis testing conclusion? Why? Explain.
Based on the number of voids, a ferrite slab is classified as either high medium or low. Historically, 5% of the slabs are classified as high, 84% as medium and 11% as low. A sample of 20 slabs is selected for testing. Let X, Y, and Z denote the number of slabs that are independently classified as high, medium, and low, respectively. Determine the following. Round your answers to four decimal places (e.g. 98.7654). (a) P(X= 1, Y= 17, Z=3) (b) P(X≤ 1, Y = 17, Z=3) (c) P(X ≤ 1) (d) E(X) (b) i (c) i (d) i
I need the answer to part D.
The one-sample ?t‑statistic for a test of ?0:?=42H0:μ=42 versus ?1:?<42H1:μ<42 based on ?=15n=15 observations has the value ?=−0.867t=−0.867, where ?0H0 and ?1H1are the null and alternative hypotheses, respectively. The sample size is denoted by ?n. Use this ?t‑table to determine which two ?-valuesP-values bracket the ?-valueP-value of the test. Report your answers in decimal form as listed in the ?t‑table.

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