Neuroinvasive West Nile virus refers to a severe disease tha

Neuroinvasive West Nile virus refers to a severe disease that affects a person’s nervous system. It is spread by the Culex species of mosquito. In the United States in 2010 there were 643 reported cases of neuroinvasive West Nile virus out of a total of 1020 reported cases and there were 483 neuroinvasive reported cases out of a total of 710 cases reported in 2015. Is the 2015 proportion of neuroinvasive West Nile virus cases is more than the 2010 proportion of neuroinvasive West Nile virus cases? Use = 1%, and conduct an appropriate hypothesis test. If you conduct hypothesis testing, you have to consider:
A. a test of two proportions
B. a test of two independent means
C. a test of a single mean
D. a test of matched pairs.

An appropriate null hypothesis is:
A. p 2015 = p 2010
B. p 2015 > p 2010
C. 2015 = 2010
D. p 2015 < p 2010

An appropriate alternative hypothesis is:
A. p 2015 = p 2010
B. p 2015 > p 2010
C. 2015 > 2010
D. p 2015 < p 2010

What is level of significance do you choose for this test?
A. Level of significance = 2%
B. Level of significance = 0.01%
C. Level of significance = 0.1%
D. Level of significance = 99%
E. None of the above.

Compute the Z value of the test statistic.
A. Z = 3.25
B. Z = 2.15
C. Z = 0.65
D. Z = -1.25
E. Z = 2.75

Assuming computed Z value of 2.33, what would be the P-value?
A. 0.99%
B. 90.01%
C. 1.98%
D. 2%
E. 98%

Assuming p-value of 0.02, which one of the following is a correct conclusion? Use = 1%.
A. Reject H0. The 2015 proportion of neuroinvasive West Nile virus cases is more than its 2010 proportion.
B. Do not reject H0. The 2015 proportion of neuroinvasive West Nile virus cases is more than its 2010 proportion.
C. Reject H0. The 2015 proportion of neuroinvasive West Nile virus cases is not significantly more than its 2010 proportion.
D. Do not reject H0. The 2015 proportion of neuroinvasive West Nile virus cases is not significantly more than its 2010 proportion.
E. Do not reject H0. The 2015 proportion of neuroinvasive West Nile virus cases is not significantly different than its 2010 proportion

Assuming a p-value of 0.0022 and level of significance of 5% for this test, which one of the following is a correct conclusion?
A. Reject H0. The 2015 proportion of neuroinvasive West Nile virus cases is more than its 2010 proportion.
B. Do not reject H0. The 2015 proportion of neuroinvasive West Nile virus cases is more than its 2010 proportion.
C. Reject H0. The 2015 proportion of neuroinvasive West Nile virus cases is not significantly more than its 2010 proportion.
D. Do not reject H0. The 2015 proportion of neuroinvasive West Nile virus cases is not significantly more than its 2010 proportion.
E. Reject H0. The 2015 proportion of neuroinvasive West Nile virus cases is less than its 2010 proportion.

At 95% level of confidence what would be the margin of error for difference between 2015 and 2010 proportions?
A. from 0% to 2%
B. 5%
C. 4.6%
D. 0.07
E. 2.3%

At 90% level of confidence what would be the margin of error for difference between 2015 and 2010 proportions?
A. from 0% to 1%
B. 8%
C. 10%
D. 4%
E. 1.645

Solution

1.

If you conduct hypothesis testing, you have to consider:

A. a test of two proportions [ANSWER]

************

2.

An appropriate null hypothesis is:
A. p 2015 = p 2010

3.
An appropriate alternative hypothesis is:

B. p 2015 > p 2010

*******************

4.

What is level of significance do you choose for this test?

E. None of the above. (as it is 1%)

*******************

5.

Formulating the hypotheses          
Ho: p1 - p2   <=   0  
Ha: p1 - p2   >   0  
Here, we see that pdo =    0   , the hypothesized population proportion difference.  
          
Getting p1^ and p2^,          
          
p1^ = x1/n1 =    0.68028169      
p2 = x2/n2 =    0.630392157      
          
Also, the standard error of the difference is          
          
sd = sqrt[ p1 (1 - p1) / n1 + p2 (1 - p2) / n2] =    0.023124992      
          
Thus,          
          
z = [p1 - p2 - pdo]/sd =    2.15 [ANSWER]

**************************

*******************************************

Hi! Please submit the next part as a separate question. That way we can continue helping you! Please indicate which parts are not yet solved when you submit. Thanks!