Mathematical Statistics 2019/2020, Homework 10
Name and Surname ... Student’s number ...
In the problems below, please use the following: as k – the sum of digits in your student’s number; as m – the sum of the two largest digits in your student’s number;
and as n – the smallest digit in your student’s number plus 1. For example, if an index number is 609999: k = 42, m = 18, n = 1.
Please write down the solutions (transformations, substitutions etc.), and additio- nally provide the final answer in the space specified (the answer should be a number in decimal notation, rounded to four digits).
10. The behavior of inhabitants of two countries during the COVID-19 pandemic was analyzed.
In a random sample of 10k individuals from country X, 10m declared that they never violated the government quarantine restrictions, while in a sample of the same size in country Y , 10(m − n) made the same declaration. Verify whether individuals in the two countries under study have the same inclination to follow the instructions of the authorities, for a significance level (4n)%. What is the value of the appropriate test statistic? What is the p-value of this result? What is the decision?
ANSWER:
Value of p-value of Reject null?
test statistic: test statistic: (YES/NO):
Solution:
