Question

1. As of April 21, 2020 this is the gender breakdown of covid-19 cases in Oklahoma:

	Male	Female	total
recovered	940	760	1700
active	553	374	927
deceased	77	87	164
total	1570	1,221	2791

According to the census, Oklahoma is 50.5% female and 49.5% male.

1. Chose to look at either females or males, and based on the total column, calculate the expected numbers of active, recovered, and deceased from the Oklahoma male or female percentages. For example, 50.5% of 1700 is 858.5 or 859 females recovered expected for gender parity.
2. We want to know if there is evidence here to support the assertion that males are more likely to have problems with covid-19 than females. Write your null and alternate hypotheses.
3. Perform a chi squared test on your chosen group, and report the chi squared value.
4. Using the table interpret your value and what this means at alpha 0.05?
5. Using excel, report the probability.
6. At an alpha level of 0.05, does this probability agree with part d?

Answer 1

a)

Expected values are in Expected table

b)

Ho: t males are equally likely to have problems with covid-19 than females.

Ha: males are more likely to have problems with covid-19 than females.

c)

TS = 10.76

d)

critical value at 0.05 = 5.991

since since TS> critical value

we reject the null hypothesis

we conclude that there is evidence that there is relationship between Gender and status of COVD-19

d)

p-value = 0.005

f)

yes, as p-value < alpha

Formulas