You are part of a research team investigation the impact of Free Senior High School of education policy on teenage pregnancy in some selected deprived district assemblies in Ghana. Team wishes to obtain an appropriate sample size to ensure reliability of the study. The team has adopted sample size formula as follows: Where n= sample size; Z is the critical value; σ is the standard deviation of the outcome variable and E is the desired margin of error. Required:Discussed what happens to the sample size under the following situations:E increases, all other parameter remains constantσ reduces with all other parameters’ constantConfidence level changes from 95% to 99%.Assuming that you calculate the sample size using the formula adopted by the team and you obtained 300 samples. The team lead however suggest that you increase the sample size to 600. Explain the effect of the decision on the reliability of the research result.A researcher wants to estimate the proportion of female students at University of Freedom who currently smoke cigarettes (i.e., the prevalence of smoking). How many freshmen should be involved in the study to ensure that a 95% confidence interval estimate of the proportion of freshmen who smoke is within 5% of the true proportion?Use the formula: Where n is the sample size; p Z is the value from the standard normal distribution reflecting the confidence level that will be used (e.g., Z = 1.96 for 95%) and E is the desired margin of error. p is the proportion of successes in the population (assume 50%). (Answer 384) 1. You are part of a research team investigation the impact of Free Senior High School ofeducation policy on teenage pregnancy in some selected deprived district assemblies inGhana. Team wishes to obtain an appropriate sample size to ensure reliability of the study.The team has adopted sample size formula as follows:ZoEWhere n= sample size; Z is the critical value; o is the standard deviation of the outcomevariable and E is the desired margin of error.Required:a) Discussed what happens to the sample size under the following situations:i)ii)iii)b) Assuming that you calculate the sample size using the formula adopted by the team andyou obtained 300 samples. The team lead however suggest that you increase the samplesize to 600. Explain the effect of the decision on the reliability of the research result.2. A researcher wants to estimate the proportion of female students at University of Freedomwho currently smoke cigarettes (i.e., the prevalence of smoking). How many freshmenshould be involved in the study to ensure that a 95% confidence interval estimate of theproportion of freshmen who smoke is within 5% of the true proportion?Use the formula:E increases, all other parameter remains constanto reduces with all other parameters' constantConfidence level changes from 95% to 99%.2n=p|1- pWhere n is the sample size; p Z is the value from the standard normal distribution reflectingthe confidence level that will be used (e.g., Z=1.96 for 95%) and E is the desired margin oferror. p is the proportion of successes in the population (assume 50%). (Answer 384)3. A researcher wants to estimate the impact of alcohol during pregnancy on prematuredelivery. Normal pregnancies last approximately 40 weeks and premature deliveries arethose that occur before 37 weeks. The 2020 Statistics report indicates that approximately12% of infants are born prematurely in the Ghana The researcher plans to collect datathrough medical record review and to generate a 95% confidence interval for the differencein proportions of infants born prematurely to women who smoked during pregnancy ascompared to those who did not. How many women should be enrolled in the study to ensurethat the 95% confidence interval for the difference in proportions has a margin of error ofno more than 4%?= {P1(1-P1)+ P2(1– P2)}(Hint, use:n; is the sample size required in each group (i=1,2), Z is the value from the standard normaldistribution reflecting the confidence level that will be used (e.g., Z = 1.96 for 95%), and Eis the desired margin of error. p1 and p2 are the proportions of successes in each comparisongroup. (Answer 507.1 = 508 pregnant women).4. A team of researchers are carrying out a research project with of aim of finding out whetherGhanaian Children are watching too much of Television in recent times. In developing theresearch hypothesis, each of the three members of the research team proposes a claim forthe study:John's Claim: Ghanaian Children spend 6 hours every day to watch television.Joshua's Claim: Ghanaian Children spend more than 6 hours every day to watch television.Jones' Claim: Ghanaian Children spend less than 6 hours every day to watch television.Required:i)Formulate the hypothesis separately for each of the claims of the research teachmembers.ii)iii)Indicate whether each hypothesis require a one-tail test of two tail test and explain.Assume that the null hypothesis of John is true in the population but the sample testrevealed a p-value of 0.080 at 5% significance. Explain if an error is committed, andif yes explain the type of error and how it can be remedied.Assume the t-test statistic relating to the Joshua's hypothesis is 2.921 at 5% level ofsignificance, what conclusion would you draw for the study.Assume the p-value of 0.101 was found for Jones hypothesis, write the conclusionof the study given significance of level of 0.05.iv)v)

Name: You are part of a research team investigation the impact of Free Senio
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: You are part of a research team investigation the impact of Free Senior High School of education policy on teenage pregnancy in some selected deprived district assemblies in Ghana. Team wishes to obtain an appropriate sample size to ensure reliabilit

Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Math

Statistics

1. You are part of a research team investigation the impact of Free Senior High School of education policy on teenage pregnancy in some selected deprived district assemblies in Ghana. Team wishes to obtain an appropriate sample size to ensure reliability of the study. The team has adopted sample size formula as follows: n= Where n= sample size; Z is the critical value; o is the standard deviation of the outcome variable and E is the desired margin of error. Required: a) Discussed what happens to the sample size under the following situations: i) ii) iii) b) Assuming that you calculate the sample size using the formula adopted by the team and you obtained 300 samples. The team lead however suggest that you increase the sample size to 600. Explain the effect of the decision on the reliability of the research result. 2. A researcher wants to estimate the proportion of female students at University of Freedom who currently smoke cigarettes (i.e., the prevalence of smoking). How many freshmen should be involved in the study to ensure that a 95% confidence interval estimate of the proportion of freshmen who smoke is within 5% of the true proportion? E increases, all other parameter remains constant o reduces with all other parameters' constant Confidence level changes from 95% to 99%. Use the formula: n=p|1-p|: Where n is the sample size; p Z is the value from the standard normal distribution reflecting the confidence level that will be used (e.g., Z=1.96 for 95%) and E is the desired margin of error. p is the proportion of successes in the population (assume 50%). (Answer 384) 3. A researcher wants to estimate the impact of alcohol during pregnancy on premature delivery. Normal pregnancies last approximately 40 weeks and premature deliveries are those that occur before 37 weeks. The 2020 Statistics report indicates that approximately 12% of infants are born prematurely in the Ghana The researcher plans to collect data through medical record review and to generate a 95% confidence interval for the difference in proportions of infants born prematurely to women who smoked during pregnancy as compared to those who did not. How many women should be enrolled in the study to ensure that the 95% confidence interval for the difference in proportions has a margin of error of no more than 4%? = {P1(1-P1) +P2(1– P2)}( Hint, use: