# Hello I need to see the work and formulas please Question 5 What is the estimated 95% confidence interval (CI) of the difference in proportions

Hello I need to see the work and formulas please

**Question 5**

**What is the estimated 95% confidence interval (CI) of the difference in proportions between schoolchildren and adults developing nausea and vomiting following holiday parties? Assign groups 1 and 2 to be schoolchildren and adults, respectively.**

Please note the following: 1) in practice, you as the analyst decide how to assign groups 1 and 2 and subsequently interpret the results appropriately in the context of the data, though for the purposes of this exercise the groups are assigned for you; 2) 0 and 1 are defined as no and yes, respectively, which is a typical coding scheme in Public Health; 3) you might calculate a CI that is different from any of the multiple choice options listed below due to rounding differences, therefore select the closest match; and 4) you may copy and paste the data into Excel to facilitate analysis.

Table 1. Schoolchildren

Nausea and

Vomiting?

10

20 Table 2. Adults

31 SubjectNausea and Vomiting?

41__________10

51__________20

61__________30

70__________41

81__________50

91_________61

100________70

111________81

121________90

130_______100

140_______110

151_______121

160_______130

170_______140

181_______151

191_______161

200_______171

211

221

231

**Select one:**

** a. -0.1105 to 0.5044**

** b. -0.1182 to 0.4691**

** c. -0.0978 to 0.5825**

** d. -0.1282 to 0.5598**

**Question 6**

**What is the estimated 95% confidence interval (CI) of the average difference in blood vitamin D levels between short sleeve shirt and tank top attire amongst US landscapers in ng/mL?**

Please note the following: 1) in practice, you as the analyst decide how to calculate the difference in vitamin D levels between time points for a given study participant, and subsequently interpret the aggregated results appropriately in the context of the data, though for the purposes of this exercise the difference is assigned for you as follows. Define the difference as the second minus the first time points, which is common practice, since the plus or minus sign of the resulting difference reflects any change over sequential time; 2) you might calculate a CI that is different from any of the multiple choice options listed below due to rounding differences, therefore select the closest match; 3) ensure you use either the large or small sample CI formula as appropriate; and 4) you may copy and paste the data into Excel to facilitate analysis.

Table

SubjectTime Point 1, Shirts _____Time Point 2, Tank Tops

Vitamin D (ng/mL) _____Vitamin D (ng/mL)

141.889________52.420

248.844________60.832

346.112________59.230

434.895_______67.811

548.352_______45.549

649.448________54.457

756.280________60.167

842.598_______55.420

945.568_______51.816

1052.146_____52.543

1161.125______52.874

1256.393______50.770

1339.190______58.323

1453.777______44.138

1554.834______61.088

1657.670______51.084

1750.544______57.402

1861.819______57.703

1951.697______63.357

2057.556______56.468

**Select one:**

** a. 0.21 to 9.08 ng/mL**

** b. 0.20 to 9.43 ng/mL**

** c. 0.23 to 11.03 ng/mL**

** d. 0.24 to 10.03 ng/m**L