Confirmed cases of West Nile virus in birds for a sample of six counties in the

Question

Confirmed cases of West Nile virus in birds for a sample of six counties in the state of Georgia are shown below. 3. County Catoosa Chattooga Dade Gordon Cases Murray Walker You want to determine if the average number of cases of West Nile virus in the state of Georgia is less that 4. Assume the population is normally distributed with a standard deviation of one occurance a. State the null and the alternative hypotheses. b. Compute the standard error of the mean. c. Estimate the test statistic d. Determine the p-value and at 95% confidence, test the hypotheses in a.

Explanation / Answer

For the given data,

a)

H0 : >=4

H1 : < 4

b)

SE = s/sqrt(n) = 2.25/sqrt(6) = 0.92

c)

Test Stat = (x-)/SE = (4.67-4)/0.92 = 0.73

d)

95% CI, Z=1.96

x -+ Z*SE

= 4.67 -+ 1.96*0.92 = 4.67 -+ 1.80 = {2.87, 6.47}

P-value = P(Z>0.73) + P(Z<-0.73) = 2*P(Z<-0.73) = 2*0.2327 = 0.4654

Hope this helps and Please don't forget to rate the answer :)

Sample Mean, x 4.67 Sample Std Dev, s 2.25 n 6.00

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.