Answer:
a) This is an Observational Study because in this kind of study investigators observe subjects and measure variables of interest without assigning treatments to the subjects. Here, the Gilham et al. (2005) studied two different groups where no treatment or intervention was done. These groups were independent of each other.
b) proportions of children with significant social activity in children with acute lymphoblastic leukemia = 1020/1272 = 0.80
proportions of children with significant social activity in children without acute lymphoblastic leukemia = 5343/6238 = 0.86
c) Odds ratio can be calculated using the following formula:
OR= \frac{a/b}{c/d}
where: a - Number in exposed group with positive outcome(here this means number of children with significant social activity associated with acute lymphoblastic leukemia)
b- Number of children without social activity having with acute lymphoblastic leukemia
c- Number of children with social activity having without acute lymphoblastic leukemia
d- Number of children without social activity having without acute lymphoblastic leukemia
OR= \frac{1020/252}{5343/895}
OR= 0.6780
d) The 95% confidence interval of this Odds Ratio is 0.5807 to 0.7917.
e) Since the odds ratio lies in this confidence interval indicate that the amount of social activity is associated with acute lymphoblastic leukemia. The children with more social activity have a higher occurrence of acute lymphoblastic leukemia.
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ = 5000
For the alternative hypothesis,
H1: µ > 5000
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 5000
x = 5430
σ = 600
n = 40
z = (5430 - 5000)/(600/√40) = 4.53
Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001
Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.
Answer:
The length of side st is 15.
Step-by-step explanation:
A tangent is a straigth line that touches a circle externally at a point on the circumference. Considering one of its properties that tangents from the same point to a fixed point outside a circle are equal.
Then,
/rn/ = /rp/
/tm/ = /tn/
/sm/ = /sp/
But, /rp/ = 7, /rt/ = 17 and /sm/ = 5.
Then,
/rt/ = /rn/ + /tn/
17 = 7 + /tn/ (∵ /rp/ = /rn/ = 7)
⇒ /tn/ = 10
Since /nt/ = 10, then /tm/ = 10 (/tm/ = /nt/)
So that,
/st/ = /sm/ + /tm/
= 5 +10
/st/ = 15
The length of side st is 15.
Answer:
80 centimeters taller
Step-by-step explanation:
First, convert Alex's height from meters to centimeters by multiplying by 100 because there are 100 centimeters in one meter to get 160 centimeters. Now multiply 160 centimeters by 1.5 to get Noah's height, 240 centimeters. Finally, since we need to find their difference in height, subtract Alex's height of 160 centimeters from Noah's height of 240 to get 80 centimeters.
Answer:
The value of the equation 
.
Step-by-step explanation:
Consider the provided equation.
We need to solve the provided equation for y.
Subtract 3x from both side.
Divide both sides by 7.
Hence, the value of the equation is .
