Question

the mayor of a town believes that more than 46% of the residents favor construction of a new bridge. is there sufficient evidence at the 0.05 level to support the mayors claim? state the null and alternative hypotheses for the above scenario.

Explanation:

Step1: Define null hypothesis

The null hypothesis ($H_0$) is a statement of no - effect or no - difference. Here, it assumes the proportion of residents favoring the new bridge is at most 46%. So, $H_0:p\leq0.46$.

Step2: Define alternative hypothesis

The alternative hypothesis ($H_a$) is what the mayor claims. The mayor believes more than 46% of the residents favor the new bridge. So, $H_a:p > 0.46$.

Answer:

$H_0:p\leq0.46$
$H_a:p > 0.46$