Which value of x makes the equation -5x = -35 true?
1 answer:
You might be interested in
Answer:
a) The study is an observational study
b) The proportion of children with significant social activity in children with acute lymphoblastic leukemia is approximately 0.802
The proportion of children with significant social activity in children without acute lymphoblastic leukemia is approximately 0.8565
c) The odds ratio is approximately 0.6780
d) The 95% CI is approximately 0.523 < OR < 0.833
e) i) Yes
ii) Children with more social activity have a higher occurrence of acute lymphoblastic leukemia
Step-by-step explanation:
a) An experimental study is a study in which the researcher adds inputs to the study and then monitors the outcomes
An observational study is one in which the researcher observes risk factors and does not intervene in the process
Therefore, the study is an observational study
b) The proportion of children with significant social activity in children with acute lymphoblastic leukemia is = 1020/1272 = 85/106 =
≈ 0.802
The proportion of children with significant social activity in children without acute lymphoblastic leukemia is = 5343/6238 ≈ 0.8565
c) We have the following two way table;
The odds ratio ≈ 0.6780
d) The 95% confidence interval for the odds ratio is given as follows;
Where;
a = 1020, b = 252, c = 5343, d = 895
Therefore;
The 95% CI ≈ 0.523 < OR < 0.833
e) i) Given that the observed Odds Ratio is within the Confidence Interval, therefore, there is an indication that the amount of social activity is associated with acute lymphoblastic leukemia
ii) Based on the proportion of the study findings, children with more social activity have a higher occurrence of acute lymphoblastic leukemia
Answer:
The confidence interval for the mean is given by the following formula:
(1)
And for this case the 95% confidence interval is given by (2.13; 2.37)
We have a point of estimate for the sample mean with this formula:
And for the margin of error we have the following estimation:
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample mean
population mean (variable of interest)
s represent the sample standard deviation
n represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
And for this case the 95% confidence interval is given by (2.13; 2.37)
We have a point of estimate for the sample mean with this formula:
And for the margin of error we have the following estimation: