Question

1. a local pizza shop says that 45% of their customers order pizzas with olives. you claim the true proportion is something different. which of the following are the hypotheses for a hypothesis test for this claim?

• $h_0: p \

eq 0.45$ $h_a: p = 0.45$

• $h_0: p = 0.45$ $h_a: p > 0.45$
• $h_0: p = 0.45$ $h_a: p < 0.45$
• $h_0: p = 0.45$ $h_a: p \

eq 0.45$

Explanation:

The null hypothesis ($H_0$) typically states the original claim (here, 45% of customers order olive pizzas, so $p=0.45$). The alternative hypothesis ($H_a$) reflects the counterclaim that the true proportion is different, which is a two-tailed test ($p
eq 0.45$).

Answer:

$H_0: p = 0.45$, $H_a: p
eq 0.45$