A decade-old study found that the proportion, p, of high school seniors who believed that "getting rich" was an important personal goal was 75%. A researcherdecides to test whether or not that percentage still stands. He finds that, among the 215 high school seniors in his random sample, 179 believe that "gettingrich" is an important goal. Can he conclude, at the 0.01 level of significance, that the proportion has indeed changed?Perform a two-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)(a) State the null hypothesis Ho and the alternative hypothesis H₁.H₁ : p = 0.75H₁ :p 0.75(b) Determine the type of test statistic to use.Z(c) Find the value of the test statistic. (Round to three or more decimal places.)0(d) Find the p-value. (Round to three or more decimal places.)0(e) Can we conclude that the proportion of high school seniors who believe that"getting rich" is an important goal has changed?OYes No3X09OSX0#0 0<0р0=0 OSO 020O

as per policy i have calculated 3 subparts n = 215 X = 179 sample proportion = X /n = 179/ 215…

Answered: A decade-old study found that the…

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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Alzheimer’s disease increases in frequency with an increase in age and is responsible for deficits in memory, thinking, judgement and reasoning. Reports show that 10% of Americans over the age of 65 have Alzheimer’s disease. A researcher believes that this proportion is increasing over time and conducts a c hypothesis test. Out of the 100 Americans over the age of 65 in her sample, 15 of them have the disease. Is this enough evidence to show the researcher’s claim is true? Test at 0.05 alpha level.
A graduate student is interested in how viewing different types of scenes affects working memory. For his study, he selects a random sample of 36 adults. The subjects complete a series of working memory tests before and after walking in an urban setting. Before the walk, the mean score on the test of working memory was 9.1. After the walk, the mean score was 1.4 higher. The graduate student has no presupposed assumptions about how viewing different types of scenes affects working memory, so he formulates the null and alternative hypotheses as: H00 : μDD = 0 H11 : μDD ≠ 0 Assume that the data satisfy all of the required assumptions for a repeated-measures t test. The graduate student calculates the following statistics for his hypothesis test: Mean difference (MDD) 1.4 Estimated population standard deviation of the differences (s) 1.6 Estimated standard error of the mean differences (sMDMD) 0.2667 Degrees of freedom (df) 35 The t statistic 5.25 The critical values of t…
A dietician read in a survey that 70.5% of adults in the U.S. do not eat breakfast at least 3 days a week. She believes that the proportion that skip breakfast 3 days a week is different than 0.705. To verify her claim, she selects a random sample of 71 adults and asks them how many days a week they skip breakfast.. 44 of them report that they skip breakfast at least 3 days a week. Test her claim at a = 0.10. The correct hypotheses would be: О Но:р 0.705 (claim) Но: р > 0.705 HA:p < 0.705 (claim) О Но: р — 0.705 HA:P + 0.705 (claim) Since the level of significance is 0.10 the critical value is 1.645 and -1.645 The test statistic is: (round to 3 places) The p-value is: (round to 3 places) The decision can be made to: O reject Ho O do not reject Ho The final conclusion is that: O There is enough evidence to reject the claim that the proportion that skip breakfast 3 days a week is different than 0.705. O There is not enough evidence to reject the claim that the proportion that skip…
(c) Calculate the test statistic. d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.
In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 71 out of a random sample of 86 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use ? = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. H0: p = 0.75; H1: p > 0.75H0: p ≠ 0.75; H1: p = 0.75 H0: p < 0.75; H1: p = 0.75H0: p = 0.75; H1: p ≠ 0.75H0: p = 0.75; H1: p < 0.75 (b) What sampling distribution will you use? The Student's t, since np > 5 and nq > 5.The standard normal, since np > 5 and nq > 5. The Student's t, since np < 5 and nq < 5.The standard normal, since np < 5 and nq < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test…
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