Question

question 5
1 pts
a newspaper article reports that the proportion of poisonous snakes living in a local state park is 0.21. a wildlife researcher disputes this claim. when a hypothesis test is conducted, the null hypothesis is written as ( h_{0}: p = 0.21 ). what is wrong with this?
nothing is wrong.
an incorrect sign is being used in the null hypothesis.
it is not necessary for the symbol ( p ) to be included in the null hypothesis.
the number given in the null hypothesis is not correct.
without knowing the wildlife researchers theory, we cannot assess the validity of the null hypothesis.

Explanation:

In hypothesis testing, the null hypothesis \(H_0\) is a statement of no difference or no effect. Here, the claim is about the proportion \(p\) of poisonous snakes. The null hypothesis \(H_0: p = 0.21\) is a valid way to state the null hypothesis when we are testing a claim about a proportion. The alternative hypothesis (not shown here, but since the researcher "disputes" the claim, it would be \(H_1: p
eq0.21\) or \(H_1: p > 0.21\) or \(H_1: p < 0.21\) depending on the nature of the dispute). The symbol \(p\) is appropriate for a proportion, the sign \(=\) is correct for the null hypothesis (as the null hypothesis always has an equality), and the number \(0.21\) is the value being tested against.

Answer:

Nothing is wrong.