'eriod:1. A random sample of 100 voters in a community produced 59 voters in favor of Candidate A.The observed value of the test statistic for testing the null hypothesis : p=0.5versus theH.:p>0.5 isalternative hypothesis(a)Date:z = [(0.59-0.5)/√(0.59)(0.41)/100t=[(0.59-0.5)/√(0.59)(0.41)/100](b)z=[(0.59-0.5)/√(0.5)(0.5)/100=[(0.59-0.5)/√(0.5)(0.5)/100](c)(e) None of these2. In a test of H: p = 0.7 against H: p* 0.7, a sample of size 80 produces z = 0.8 for the value

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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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Who will you vote for? A simple random sample of 1500 voters were surveyed and asked whether they were planning to vote for the incumbent mayor for re-election. Seven hundred ninety-eight of them replied that they were planning to vote for the mayor. The mayor claims that more than half of all voters are planning to vote for her. To test this claim, a test of the hypotheses Ho: p = 0.5 versus H₁: p > 0.5 is performed. a. Show that the P-value is 0.007. b. The P-value is very small, so Ho is rejected. A pollster claims that because the P-value is very small, we can be fairly certain that the population proportion p is greater than 0.5, but we cannot be certain that it is a lot greater. Is this a correct interpretation of the P-value?
A consultant for a large university studied the number of hours per week freshmen watch TV versus the number of hours seniors do. The results of this study follow. Is there enough evidence to show the mean number of hours per week freshmen watch TV is different from the mean number of hours seniors do at α=0.1? Freshmen Seniors n 9 5 xbar 19.0 11.7 s 7.8740 3.9749 For the hypothesis statement above (in terms of Seniors - Freshmen), what is the decision?
20% of all college students volunteer their time. Is the percentage of college students who are volunteers smaller for students receiving financial aid? Of the 326 randomly selected students who receive financial aid, 46 of them volunteered their time. What can be concluded at the αα = 0.05 level of significance? Z- test for a population proportion The null and alternative hypotheses would be: H0:H0: p = __?__ (please enter a decimal) H1:H1: p is ( choose one <, = or not equal) ____?___ncorr __?__(Please enter a decimal) The test statistic z= __?__(please show your answer to 3 decimal places.) The p-value = __?__(Please show your answer to 4 decimal places.) Thus, the final conclusion is that ... a. The data suggest the population proportion is not significantly lower than 20% at αα = 0.05, so there is insufficient evidence to conclude that the percentage of financial aid recipients who volunteer is lower than 20%. b. The data…
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You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 62% at a level of significance of a = 0.05. According to your sample, 27 out of 50 potential voters prefer the Democratic candidate. a. For this study, we should use z-test for a population proportion b. The null and alternative hypotheses would be: Ho: pv = 0.62 O O H₁: pv # OF c. The test statistic z O O 0.62 ✓(please enter a decimal) f. Based on this, we should reject g. Thus, the final conclusion is that (Please enter a decimal) = -1.165 (please show your answer to 3 decimal places.) d. The p-value = 0.1248 x (Please show your answer to 4 decimal places.) e. The p-value is > ✓ a 1x the null hypothesis. O The data suggest the populaton proportion is significantly different from 62% at a = 0.05, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 62% the population proportion is…

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