12)A crossover trial is a type of experiment used to compare two drugs. Subjects take one drugfor a period of time, then switch to the other. The responses of the subjects are then comparedusing matched-pair methods. In an experiment to compare two pain relievers, seven subjectstook one pain reliever for two weeks, then switched to the other. They rated their pain level from1 to 10, with larger numbers representing higher levels of pain. The results are listed below. Canyou conclude that the mean pain level is more with drug B? Use the 0.05 level and the P-valuemethod.Subject1 23534 5 6 7252 6Drug A11Drug B3 7(c) State the appropriate null and alternate hypotheses.(d) Compute the P-value.e) State a conclusion.656 6(c) Determine whether to reject Null Hypothesis.13

d=Drug A- Drug B Null , Ho:μd≥0 Alternative , Ho:μd<0

Answered: (c) State the appropriate null and…

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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It is known that 51% of American college students fail a course during their freshman year. A university journal club randomly samples 9 upperclassmen and asks them if they failed a course during their freshman year, 3 say they have. Suppose a hypothesis test is to be conducted to determine if the proportion of students who failed a course during their freshman year is less than 0.51. Fill in the blanks to correctly state the null and alternative hypotheses in notation. H0: HA:
A popular uprising that started on January 25, 2011 in Egypt led to the 2011 Egyptian Revolution. Polls show that about 69% of American adults followed the news about the political crisis and demonstrations in Egypt closely during the first couple weeks following the start of the uprising. Among a random sample of 30 high school students, it was found that only 17 of them followed the news about Egypt closely during this time. (Source: Gallup Politics, Americans' Views of Egypt Sharply More Negative, data collected February 2-5, 2011).
When conducting a hypothesis test, we hope to avoid commiting a type 1 error, which is: 1. Not as bad as committing a type 2 error 2. rejecting a null hypothesis when it is true 3. rejecting the alternate hypothesis when it is true 4. accepting the null hypothesis when the alternate hypothesis is true
Do political “attack ads” work? A congressional candidate who currently has the support of only 44% of the voters runs a television spot that aggressively attacks the character of his opponent. He wants to know if the television spot has changed his support level among voters. (a) Define the parameter and state the null and alternative hypotheses for this test. (b) Suppose his pollsters plan to survey a random sample of 450 voters and conduct a two-sided test ofH0: p = 0.44, using  = 0.05. They determine that the power of this test against the alternative p = 0.40 is 0.36. Explain what this means in the context of the problem. (c) Describe two ways the pollsters can increase the power of the test. (d) The pollsters survey a random sample of 450 voters and find that 186 support the candidate. This produces a 95% confidence interval for the proportion of voters who support him of (0.368, 0.459). Use the confidence interval to determine whether this test would reject or fail to reject…
A teacher claims that fewer than 25% of his students are ready for class each day. -State the claim -State the opposite of the claim -State the null hypothesisd.State the alternative hypothesis -State the type of test (left tailed, right tailed, or two tailed) -Use α = 0.05 to find the critical z-value used to test the null hypothesis
(A)Let p1 represent the proportion of newlyweds in Ethnicity A who have a spouse of a different race or ethnicity from their own. Let p2 represent the proportion of newlyweds in Ethnicity B that have a spouse of a different race or ethnicity from their own. State the null and alternative hypotheses. (b)Calculate the standardized test statistic. (c)Calculate the P-value. (d)State the conclusion of the hypothesis test.
(a) Express the null hypothesis and the alternative hypothesis in symbolic form for the following claim. A manager claims that the average lunch break is more than 0.4 hours long. O Ho: p = 0.4 vs. H: p 0.4 H;: µ # 0.4 O Ho: H = 0.4 vs. H: µ > 0.4 O Ho: p = 0.4 Hi:p # 0.4 Vs. (b) State the indicated conclusion in nontechnical terms, being sure to address the original claim. An entomologist writes an article in a scientific journal claiming that at most 1.48% of male fireflies are unable to produce light due to a genetic mutation. A hypothesis test of the claim has been conducted, and the decision from that test is to fail to reject Ho. O There is not sufficient evidence to warrant rejection of the claim that the true proportion is at most 1.48%. O There is sufficient evidence to warrant rejection of the claim that the true proportion is at most 1.48%. OThere is not sufficient evidence to support the claim that the true proportion is at most 1.48%. O There is sufficient evidence to…
K For students who first enrolled in two-year public institutions in a recent semester, the proportion who earned a bachelor's degree within six years was 0.386. The president of a certain junior college believes that the proportion of students who enroll in her institution have a higher completion rate. (a) State the null and alternative hypotheses in words. (b) State the null and alternative hypotheses symbolically. (c) Explain what it would mean to make a Type I error. (d) Explain what it would mean to make a Type Il error. OB. Among students who first enroll in two-year public institutions, the completion rate is 0.386. C. Among students who enroll at the certain junior college, the completion rate is 0.386. O D. Among students who enroll at the certain junior college, the completion rate is less than 0.386. State the alternative hypothesis in words. Choose the correct answer below. A. Among students who enroll at the certain junior college, the completion rate is greater than…
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Bonus Problem: For each situation, decide whether the null hypothesis should be rejected. (a) α = 0.01, P-value = 0.047, (b) α = 0.01, P-value = 0.15.
The mean SAT Score in mathematics is 523. The standard deviation of these scores is 39. A special preparation course claims that the mean SAT score, u, of its graduates is greater than 523. An independent researcher tests this by taking a random sample of 33 students who completed the course; the mean SAT score in mathematics for the sample was 541. Assume that the population is normally distributed. At the 0.01 level of significance, can we conclude that the population mean SAT score for graduates of the course is greater than 523? Assume that the population standard deviation of the scores of course graduates is also 39. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, : H : (b) Determine the type of test statistic to use. D=D OSO (Choose one) (c)…
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(c) State the appropriate null and alternate hypotheses. (d) Compute the P-value. (c) Determine whether to reject Null Hypothesis.