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Use the following information to answer the next three exercises. Neuroinvasive West Nile virus is 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 629 reported cases of neuroinvasive West Nile virus out of a total of 1,021 reported cases and there were 486 neuroinvasive reported cases out of a total of 712 cases reported in 2011. Is the 2011 proportion of neuroinvasive West Nile virus cases more than the 2010 proportion of neuroinvasive West Nile virus cases? Using a1%level of significance, conduct an appropriate hypothesis test.

• "2011" subscript: 2011 group.
• "2010" subscript: 2010 group

(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.

Step by step solution

01

Given information

Conduct an appropriate hypothesis test with a $1\%$ level of significance.

02

Explanation

A z-test for two proportions compares two proportions to see if they are the same. The proportions are equal is the null hypothesis $\left(H_0\right)$for the test. $H_1$is the alternative hypothesis, which states that the proportions are not equal.

according to the information given in the question, we know that there are two samples:

2011 group and 2010 group. it is a proportionate test.

Therefore option (a) is the correct answer

03

Incorrect answer 

The two-sample t-test (also termed as the independent samples t-test) is just a statistical approach for determining if two variable' estimated population means are equal. Here, we know the samples.

When you compare the mean value to another predicted value, you're testing a single mean.

Therefore option b, c, and d are incorrect.

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