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mates. Some shrubs can resprout from their roots after their tops are destroyed. One study of resprouting took place in a dry area of Mexico." The investigators Arst clipped the tops of all the shrubs in the study. For the treatment, they then applied a propane torch to the stumps of the shrubs to simulate a fire, and for the control, the stumps were left alone. The study included 24 shrubs, of which 12 were randomly assigned to the treatment and the remaining 12 to the con- rol. A shrub is a success if it resprouts. For the shrub Xerospirea hartwegiana, all 12 shrubs in the control group resprouted, whereas only 8 in the treatment group resprouted. How much does burning reduce the proportion of shrubs of this species that resprout? Give the 95% plus four confidence interval for the amount by which burning reduces the proportion of shrubs of this species that resprout. The plus four method is particularly helpful when, as here, a count of either successes or failures is zero. Follow the four-step process as illustrated im Example 23.6 (page 540).

mates. Some shrubs can resprout from their roots after their tops are destroyed. One study of resprouting took place in a dry area of Mexico." The investigators Arst clipped the tops of all the shrubs in the study. For the treatment, they then applied a propane torch to the stumps of the shrubs to simulate a fire, and for the control, the stumps were left alone. The study included 24 shrubs, of which 12 were randomly assigned to the treatment and the remaining 12 to the con- rol. A shrub is a success if it resprouts. For the shrub Xerospirea hartwegiana, all 12 shrubs in the control group resprouted, whereas only 8 in the treatment group resprouted. How much does burning reduce the proportion of shrubs of this species that resprout? Give the 95% plus four confidence interval for the amount by which burning reduces the proportion of shrubs of this species that resprout. The plus four method is particularly helpful when, as here, a count of either successes or failures is zero. Follow the four-step process as illustrated im Example 23.6 (page 540).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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23.8 is what needs answerd the other is just info for it please use the calculator method

4step 23.8 Shrubs That Withstand Fire. Fire is a serious threat to shrubs in dry cli mates. Some shrubs can resprout from their roots after their tops are destroyed. Sample De study of resprouting took place in a dry area of Mexico." The investigators Aust clipped the tops of all the shrubs in the study. For the treatment, they then ortion applied a propane torch to the stumps of the shrubs to simulate a fire, and for he control, the stumps were left alone. The study included 24 shrubs, of which 12 were randomly assigned to the treatment and the remaining 12 to the con- trol. A shrub is a success if it resprouts. For the shrub Xerospirea hartwegiana, all 12 shrubs in the control group resprouted, whereas only 8 in the treatment group resprouted. How much does burning reduce the proportion of shrubs of this species that resprout? Give the 95% plus four confidence interval for the amount by which burning reduces the proportion of shrubs of this species that resprout. The plus four method is particularly helpful when, as here, a count of either successes or failures is zero. Follow the four-step process as illustrated in Example 23.6 (page 540). A3D0.2407 0.0784 CHARTER
Transcribed Image Text:4step 23.8 Shrubs That Withstand Fire. Fire is a serious threat to shrubs in dry cli mates. Some shrubs can resprout from their roots after their tops are destroyed. Sample De study of resprouting took place in a dry area of Mexico." The investigators Aust clipped the tops of all the shrubs in the study. For the treatment, they then ortion applied a propane torch to the stumps of the shrubs to simulate a fire, and for he control, the stumps were left alone. The study included 24 shrubs, of which 12 were randomly assigned to the treatment and the remaining 12 to the con- trol. A shrub is a success if it resprouts. For the shrub Xerospirea hartwegiana, all 12 shrubs in the control group resprouted, whereas only 8 in the treatment group resprouted. How much does burning reduce the proportion of shrubs of this species that resprout? Give the 95% plus four confidence interval for the amount by which burning reduces the proportion of shrubs of this species that resprout. The plus four method is particularly helpful when, as here, a count of either successes or failures is zero. Follow the four-step process as illustrated in Example 23.6 (page 540). A3D0.2407 0.0784 CHARTER
23.6 Abecedarian Early Childhood Education Program: Adult Outcomes step STATE: The Abecedarian Project was a randomized controlled study to assess on several sociodemographic indicators. The project randomly assigned children treatment group, which was provided with early educational activities before kea garten, and the remainder to a control group. A recent follow-up study intervieed subjects at age 30 and compared the college graduation rates (earning a degree).12 Here are the data for two groups: 28.7 Pear relaces infan infant Population Description neat p Sample Size Number of Successes Population sumer Sample Proportion Treatment n, = 52 Pi = 12/52 = 0.2308 1. 12 %3D %3D Control n2 = 49 P2 = 3/49% 3D 0.0612 2. How much does early childhood education increase the proportion earning a four- year degree by age 30? DA Cive a 90% confidence interval for the difference between population proportions, p, - P2. (6) TH ) Gi SOLUE Tne conditions for the large-sample interval are not met because there are oniy 3 successes in the control group. However, we can use the plus four method because the sample sizes for the treatment and the control group are both at least 5. Add four imaginary observations. The new data summary is 23.8 Shrub Population Description Number of Plus Four Sample Proportion mates. Population Sample Size Successes One str 1 Treatment n, + 2 = 54 12 + 1 = 13 = 13/54 = 0.2407 n + 2 = 51 3+1 = 4 2 = 4/51 = 0.0784 %3D %3D Control %3D %3D 2. The standard error based on the new facts is trol. A al 12 s Pi(1-P) P2(1- pa) SEp-P: n+ 2 n2 + 2 (0.2407)(0.7593) 1 dnous (0.0784) (0.9216) unoue either su 54 51 =V0.00480 = 0.0693 The plus four 90% confidence interval is (P-P2) ± z*SE, -p, = (0.2407 - 0.0784) (1.645) (0.0693) = 0.1623 0.1140 CONCLUDE: We are 90% confident that the early childhood education progra increases the proportion of high-risk children who earn a four-year degree by age 30 by between 4.8% and 27.6%. =0.048 to 0.276 APTER 2 pter Sipe
Transcribed Image Text:23.6 Abecedarian Early Childhood Education Program: Adult Outcomes step STATE: The Abecedarian Project was a randomized controlled study to assess on several sociodemographic indicators. The project randomly assigned children treatment group, which was provided with early educational activities before kea garten, and the remainder to a control group. A recent follow-up study intervieed subjects at age 30 and compared the college graduation rates (earning a degree).12 Here are the data for two groups: 28.7 Pear relaces infan infant Population Description neat p Sample Size Number of Successes Population sumer Sample Proportion Treatment n, = 52 Pi = 12/52 = 0.2308 1. 12 %3D %3D Control n2 = 49 P2 = 3/49% 3D 0.0612 2. How much does early childhood education increase the proportion earning a four- year degree by age 30? DA Cive a 90% confidence interval for the difference between population proportions, p, - P2. (6) TH ) Gi SOLUE Tne conditions for the large-sample interval are not met because there are oniy 3 successes in the control group. However, we can use the plus four method because the sample sizes for the treatment and the control group are both at least 5. Add four imaginary observations. The new data summary is 23.8 Shrub Population Description Number of Plus Four Sample Proportion mates. Population Sample Size Successes One str 1 Treatment n, + 2 = 54 12 + 1 = 13 = 13/54 = 0.2407 n + 2 = 51 3+1 = 4 2 = 4/51 = 0.0784 %3D %3D Control %3D %3D 2. The standard error based on the new facts is trol. A al 12 s Pi(1-P) P2(1- pa) SEp-P: n+ 2 n2 + 2 (0.2407)(0.7593) 1 dnous (0.0784) (0.9216) unoue either su 54 51 =V0.00480 = 0.0693 The plus four 90% confidence interval is (P-P2) ± z*SE, -p, = (0.2407 - 0.0784) (1.645) (0.0693) = 0.1623 0.1140 CONCLUDE: We are 90% confident that the early childhood education progra increases the proportion of high-risk children who earn a four-year degree by age 30 by between 4.8% and 27.6%. =0.048 to 0.276 APTER 2 pter Sipe
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