Question

a sociologist claims the probability that a person picked at random in times square in new york city is visiting the area is 0.83. you want to test to see if the claim is correct. state the null and alternative hypotheses. $h_{0}:p>0.83$ $h_{a}:p<0.83$ $h_{0}:pleq0.83$ $h_{a}:p<0.83$ $h_{0}:p = 0.83$ $h_{a}:p
eq0.83$

Explanation:

In hypothesis testing, the null hypothesis \(H_0\) represents the status - quo or the claim being tested. Here, the claim is that the probability \(p = 0.83\). The alternative hypothesis \(H_a\) is what we might believe if the null hypothesis is rejected. Since we are just testing if the claim is correct (a two - tailed test, not specifically testing if it is greater than or less than), the alternative hypothesis is \(p
eq0.83\).

Answer:

\(H_0:p = 0.83\), \(H_a:p
eq0.83\)