Statistics Study Material

STATISTICS

Question 2:
a. Provide a 95% confidence interval for all the patients who are referred to
the health centre by the hospital.
Based on available information,
Sample size of patients (n) = 400
Out of theses; 80 were referred by the local hospital that is x = 80
Sample proportion can be calculated as:
Confidence level = 95%
The Z value at 95% confidence level from the standard normal table is given as 1.96.
The 95% required confidence interval has been calculated below:
Thus, the required confidence interval is 0.161 to 0.239.

b. What sample size would be required to estimate the proportion of all
hospital referrals to the health centre with a margin of error of 0.04 or less at
95% confidence?
Given E=0.04
So, n = (Z/E)^2*p*(1-p)
Where;
E = Margin of error;
P = Probability of occurring an error
= (1.96/0.04)^2*0.2*0.8
=384.16
Take n=385
Therefore the sample size required at margin of error of 0.04 or less at 95% confidence level will
be 385.
Question 1:
Step 1: Statement of the hypothesis
The hypothesis is an idea or idea that occurs through study and investigation. In the end, expect
to be tried with research. Most analysts think of a theoretical explanation towards the start of the
study. In this way, in practice, the result is expected towards the start of the study and tests are
conducted to determine if and to what extent this prediction is valid.
Recommended response to an investigation or problem that can be proven or rejected through an
examination. A hypothetical statement is usually an informed estimate of the relationship
between elements and fills as a reason to examine to see if the relationship remains constant. The

genres are extracted in the business process development activities to perform a study that
determines the best combination of variables for a procedure.
The research hypothesis (H1) is the news made by experts when they theorize the results of a
study or study.
The hypothesis is realized through a variety of means, but it is usually the result of a thought
process in which ideas lead to a hypothetical arrangement. Researchers at that level use a large
set of subtraction strategies to demonstrate viable, tangible and realistic profitability.
The statement of the hypothesis is generally indicated by the null hypothesis which is determined
below:
Null hypothesis shows that there is no clear evidence that a significant increase in the starting
salaries of students who graduated from colleges of Business in 2009 in the give case.
Alternative hypothesis shows that there is evidence that there has been a significant increase in
the starting salaries of students who graduated from colleges of Business in 2009.
Step 2: Standardized test statistic formula
The standardized test statistic formula is determined below:
The test statistic for one sample z test is,