Question

in a random sample of 300 football fans, 252 believe that the tigers will win the football championship in the season. an analyst conducts a hypothesis test at the 10% significance level to determine if more than 80% of all football fans believe that the tigers will be champions next season. state the alternative hypothesis for this hypothesis test. $h_a: p \
eq 0.80$ $h_a: p > 0.80$ none of the above $h_a: p < 0.80$

Explanation:

Step1: Understand the Research Question

The analyst wants to test if more than 80% of all football fans believe the Tigers will be champions. Let \( p \) be the proportion of all football fans who believe this.

Step2: Define the Alternative Hypothesis

The alternative hypothesis (\( H_a \)) represents the claim we are trying to find evidence for. Since we are testing if \( p \) is more than 0.80, the alternative hypothesis is \( H_a: p > 0.80 \).

Answer:

\( \text{H}_\text{a}: p > 0.80 \) (corresponding to the option: \( \text{H}_\text{a}: p > 0.80 \))