Asked by Thomas Scahill on May 08, 2024
Verified
Confirmed cases of West Nile virus in birds for a sample of six counties in the state of Georgia are shown below.Assume the population is normally distributed.
We are interested in testing the following hypotheses regarding these data:
H0: μ 3
Ha: μ > 3
a.
Compute the mean and the standard deviation of the sample.
b.
Compute the standard error of the mean.
c.
Determine the test statistic.
d.
Determine the p-value; and using α = .10, test the hypotheses.What is your conclusion?
West Nile Virus
A virus transmitted to humans and animals through the bite of an infected mosquito, known for causing West Nile fever.
Null Hypothesis
A hypothesis that there is no effect or no difference, and it serves as a default hypothesis in statistical hypothesis testing.
Alternative Hypothesis
A statement that suggests there is a statistically significant difference between two or more data sets, contrary to the null hypothesis.
- Compute the mean and standard deviation for a given sample.
- Determine the standard error of the mean and the standard error of proportion.
- Calculate the test statistic for various types of hypothesis tests.
Verified Answer
SS
Sarah SalvadorMay 12, 2024
Final Answer :
a.
4 and 1.265 (rounded)
b.
.5164
c.
t = 1.936
d.
p-value is between .05 and .1; reject H0 and conclude that the mean of the population is significantly more than 3.
a.
4 and 1.265 (rounded)
b.
.5164
c.
t = 1.936
d.
p-value is between .05 and .1; reject H0 and conclude that the mean of the population is significantly more than 3.
Learning Objectives
- Compute the mean and standard deviation for a given sample.
- Determine the standard error of the mean and the standard error of proportion.
- Calculate the test statistic for various types of hypothesis tests.