Question

The$p$-value is$0.0022$. At a 1% level of significance, the appropriate conclusion is
(a) There is sufficient evidence to conclude that the proportion of people in the United States in $2011$who contracted neuroinvasive West Nile disease is less than the proportion of people in the United States in$2010$ who contracted neuroinvasive West Nile disease.
(b) There is insufficient evidence to conclude that the proportion of people in the United States in $2011$who contracted neuroinvasive West Nile disease is more than the proportion of people in the United States in$2010$ who contracted neuroinvasive West Nile disease.
(c) There is insufficient evidence to conclude that the proportion of people in the United States in $2011$ who contracted neuroinvasive West Nile disease is less than the proportion of people in the United States in$2010$who contracted neuroinvasive West Nile disease.
(d) There is sufficient evidence to conclude that the proportion of people in the United States in $2011$who contracted neuroinvasive West Nile disease is more than the proportion of people in the United States in $2010$who contracted neuroinvasive West Nile disease

Short answer

Answer is (d)

Step-by-step solution

Given information

Given in the question that, $p$-value = $0.002$.

Explanation

The $P$value is $0.002$

We can reject $H_0$ifrole="math" localid="1654025797583" $pvalue<0.01$

Here, the $p$ value is smaller than the level of significance.

Therefore, the null hypothesis is rejected.

There is enough data to establish that there are more people accessible in $2011$than in $2010$.

Incorrect Answer

The answer depend on the alternative hypothesis: $H_1:p_1>p_2$

Therefore option (a),(b), (c) are incorrect answers