Confidence Interval for the Difference in Two Population Proportions
Q: confidence interval
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- A cross-sectional study of 1,900 participants looked at the association between Normal Course Load (12-15 credit hours (CH)) and Anxiety among upperclassmen college students (Junior & Senior). The study included 1,000 students with a High Course Load. This study also discovered a total of 850 cases of Anxiety. Of those with a Normal course load 12% were diagnosed with anxiety like symptoms by a school psychologist. Course Load High (16-19 CH) Normal (12-15 CH) Total 850 Yes Anxiety 1050 No 1000 900 1900 Total Fill in every blank cell in the table. You will report them as "fill in the blanks" below based on the labels in the table.A study was made of 413 children who were hospitalized as a result of motor vehicle crashes. Among 290 children who were not using seat belts, 60 were injured severely. Among 123 children using seat belts, 16 were injured severely (based on data from "Morbidity Among Pediatric Motor Vehicle Crash Victims: The Effectiveness of Seat Belts," by Osberg and Di Scala, American Journal of Public Health, Vol. 82, No. 3). For this problem we want to know, is there sufficient sample evidence to conclude, at the 0.05 significance level, that the proportion of severe injuries is higher for children not wearing seat belts? Let pi be the proportion of severe injuries among all children not wearing seatbelts and who were involved in crashes. Let p2 be the proportion of severe injuries among all children wearing seatbelts and who were involved in crashes. Which is the proper expression of Ho? Pi = P2 O Pi P2 Which is the proper expression of H1? O pi P2 Calculate p1 to 4 decimal places: Calculate p,…Blood cocaine concentration (mg/L) was determinedboth for a sample of individuals who had died fromcocaine-induced excited delirium (ED) and for a sampleof those who had died from a cocaine overdose withoutexcited delirium; survival time for people in bothgroups was at most 6 hours. The accompanying datawas read from a comparative boxplot in the article“Fatal Excited Delirium Following Cocaine Use” (J.of Forensic Sciences, 1997: 25–31). ED 0 0 0 0 .1 .1 .1 .1 .2 .2 .3 .3.3 .4 .5 .7 .8 1.0 1.5 2.7 2.83.5 4.0 8.9 9.2 11.7 21.0Non-ED 0 0 0 0 0 .1 .1 .1 .1 .2 .2 .2.3 .3 .3 .4 .5 .5 .6 .8 .9 1.01.2 1.4 1.5 1.7 2.0 3.2 3.5 4.14.3 4.8 5.0 5.6 5.9 6.0 6.4 7.98.3 8.7 9.1 9.6 9.9 11.0 11.512.2 12.7 14.0 16.6 17.8 a. Determine the medians, fourths, and fourth spreadsfor the two samples.b. Are there any outliers in either sample? Any extremeoutliers?c. Construct a comparative boxplot, and use it as abasis for comparing and contrasting the ED andnon-ED samples.
- A study was made of 425 children who were hospitalized as a result of motor vehicle crashes. Among 300 children who were not using seat belts, 50 were injured severely. Among 125 children using seat belts, 10 were injured severely (based on data from "Morbidity Among Pediatric Motor Vehicle Crash Victims: The Effectiveness of Seat Belts," by Osberg and Di Scala, American Journal of Public Health, Vol. 82, No. 3). For this problem we want to know, is there sufficient sample evidence to conclude, at the 0.05 significance level, that the proportion of severe injuries is higher for children not wearing seat belts? Let pi be the proportion of severe injuries among all children not wearing seatbelts and who were involved in crashes. Let p2 be the proportion of severe injuries among all children wearing seatbelts and who were involved in crashes. Which is the proper expression of Ho? P1 > P2 P1 P2 Calculate p1 to 4 decimal places: Calculate p2 to 4 decimal places: Calculate the pooled sample…Left ventricular mass (LVM) is an important risk factor for subsequentcardiovascular disease. A study is conducted to assess the relationship between the size of LVM in children (as determined from an echocardiogram) and the size of LVM four years later in the same individuals. Does LVM change over time in children? Completely conduct the appropriate hypothesis and list any additional necessary assumptions (you can assume that additional assumptions are met by the data) test with alpha =0.01. i Baseline LVM LVM 4 years later 1 134 126 2 86 142 3 78 111 4 73 82Allopurinol test is often used as a screening device of potential carriers whose relatives are OTCD (a disorder of the urea cycle) patients. The sensitivity and the specificity of the allopurinol test are estimated as 0.927 and 0.997, respectively. If the prevalence of individuals with OTCD in the population is 1/32000, determine the predictive value negative of the allopurinol screening test.
- A clinical trial is run to assess the effectiveness of a new drug in lowering blood pressure. Patients are randomized to receive the new drug or placebo and systolic blood pressure is measured after 12 weeks on the assigned treatment. Is the mean systolic blood pressure for patients in the new drug group significantly lower than the mean systolic blood pressure for patients in the placebo group after the 12 week treatment?Serum estradiol is an important risk factor for breast cancer in postmenopausal women. To better understand the etiology of breast cancer, serum-estradiol samples were collected from 25 premenopausal women (at about the same time period of the menstrual cycle) of whom 10 were Caucasian and 15 were African American. Data were collected on both serum estradiol as well as body mass index (BMI) = weight (kg)/height2 (m2), which is an important measure of overall obesity. The data are shown in Table 9.16. The distribution of serum estradiol is usually highly skewed (especially for premenopausal women), and we are reluctant to assume normality. HW Question: What test can we use to compare the distribution of serum estradiol for Caucasian vs. African American women? Implement the test and report a two-tailed p-value based on large sample methods Here's my approach and I'm not sure if this is correct. I am using the Wilcoxon rank sum test for this problem. Group 1 (African-American): n=15…In a study of carbohydrate diet, an investigator wishes to test a hypothesis test for whether the population mean of cholesterol level among individuals taking medium carbohydrate diet for 4 months is different than 7.8 mmol/L A simple random sample (SRS) of 30 study participants is conducted. Subjects are randomized to receive medium carbohydrate diet for 4 months. The total cholesterol level at the time of entering the study had an average of 5.20 mmol/L and standard deviation of 1.3 mmol/L Calculate a 95% confidence interval (show your work) for the population mean of total cholesterol levels among those taking medium carbohydrate diet and use the confidence interval to draw a conclusion as to whether there is a difference in cholesterol levels. Choose the correct statement. O (4.7492, 5.6508) Do not reject HO sincc value of null hypothesis, 5.20 does fall in this range O (4.8216. 5.5783) Reject H0 since value of null hypothesis 7.8 does not fall in this range. O 14.7492. 5.6508)…
- A clinical trial is planned to compare an experimental medication designed to lower blood pressure to a pla- cebo. Before starting the trial, a pilot study is conducted involving seven participants. The objective of the study is to assess how systolic blood pressure (SBP) changes over time if left untreated. SBP is measured at baseline and again 4 weeks later. Is there a statistically significant difference in SBP over time? Run the test at a 5% level of significance. Baseline 120 145 130 160 152 143 126 Four weeks 122 142 135 158 155 140 130 how do I solve this in excel?Arsenic is a compound that occurs naturally in very low concentrations. Arsenic blood concentrations in healthy individuals are Normally distributed with a mean of 3.2 mg/dl. Some areas of the United States have naturally elevated arsenic levels in the ground and water supplies. Researchers took a sample 20 water samples from a particular area and measured the arsenic levels in each of the 20 water samples. They want to determine if there is sufficient evidence to conclude that the arsenic level in that area is higher than 3.2 mg/dl. hypothesis test for one population mean (unknown population standard deviation) confidence interval estimate for one population mean (unknown population standard deviation) hypothesis test for population mean from paired differences confidence interval estimate for population mean from paired differences hypothesis test for difference in population means from two independent samples confidence interval estimate for difference in population means from two…A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 68 women over the age of 50 used the new cream for 6 months. Of those 68 women, 39 of them reported skin improvement(as judged by a dermatologist). Is this evidence that the cream will improve the skin of more than 40% of women over the age of 50? Test using a= 0.05 (a) Test statistic: z= (b) The final conclusion is...A. There is not sufficient evidence to reject the null hypothesis that p=0.4 . That is, there is not sufficient evidence to reject that the cream can improve the skin of more than 40% of women over 50.B. We can reject the null hypothesis that p=0.4 and accept that p>0.4. That is, the cream can improve the skin of more than 40% of women over 50.