• P(-1. If this is the case, the test statistic is modified for testing H0 : (p1-p2 ) =D0, and a pooled estimate for a common p is no longer used in the standard error. 7 Some Comments on Testing Hypotheses • If the p-valueis greater than . The p-value measures the strength of the evidence against H0. 49= 0. 8 shows the calculation of b and the power of the test (1 – b).
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33 respectively. The team at Assignmenthelp. The mean height of 50 male students who showed above average participation in college athletics was 68. It is expressed as a function of sample variate.
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01—“highly significant” or significant at the 1% level. A random sample of 100 policy holders who had insured through him gave the following age distribution: Age: 16 -20 No. If the number of units associated with each person in the investigation were known, accurate large sample results could be obtained; however, determination of the number of units associated with each individual would require an extremely large amount of work. e.
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©1998 Brooks/Cole Publishing/ITPThe researcher then uses the sample data to decide whether the evidence favors Ha rather than H0 and draws one of these two conclusions: – Reject H0 and conclude that Ha is true. 58 respectively. ©1998 Brooks/Cole Publishing/ITP The p-value is look here probability of observing a test statistic that is five or more standard deviations from the mean. ©1998 Brooks/Cole Publishing/ITPFigure 9.
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0027 i. 25 as shown in Figure 9. The grade point average for the n1= 100 nonowners of cars had an average and variance equal to as opposed to for the n2= 100 car owners. (When you estimate the value of p using the estimator , the standard error of is not known and is estimated by ©1998 Brooks/Cole Publishing/ITP The value of the test statistic is The p-valueassociated with this test is found as the area under the standard normal curve to the left of z= -1. 03, the smallest rejection region that you can use and still reject H0 is|z | 3. Then the death of one person may result in several units of “death” with respect to the investigation; moreover, the number of units per individual may vary noticeably.
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e. Test the hypothesis that male students who participated in college athletics are taller than the other male students at 5% significant level. 3 shows a rejection region. – If the hypothesized value lies outside of the confidence limits, the null hypothesis is rejected at the a level of significance. 645 : H 0 is accepted with 5% level of significance • If |Z|=3 |Z|2.
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• The test statistic is a single number calculated from sample data. 05—significant at the 5% level. Null hypothesis: H0 : m=m0 2. g.
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The study tools and academic assistance/guidance through online tutoring sessions provided by AssignmentHelp. H 0 implies that it is rejected in favor of some other hypothesis which is accepted. • Ideally, you would like a to be small and the power (1 – b) tobe large. 2 show null and alternative hypotheses. 58: H 0 is accepted with 1% level of significance One Tailed Test • P(-3=Z=3)=0.
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A Statistical test of hypotheses 2. ©1998 Brooks/Cole Publishing/ITPKey Concepts and Formulas I. 001—“very highly significant” or significant at the . 5, n 1 = 50, μ 2 = 67. ©1998 Brooks/Cole Publishing/ITP9.
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Large Sample Tests • We have seen that for large values of n, the number trials, almost all the distributions (Binomial more tips here Poisson) are very closely approximated by normal distribution. 58 : H 0 is rejected with 1% level of significance • If |Z|=3 |Z|=2. 645)=0. • Critical region: Let x 1, x 2, …, xn be All the values of the random sample observations denoted by O. .