To find the associated p-value, follow these steps:

1. Identify the test type:
   This is a two-tailed hypothesis test because the alternative hypothesis is $H_a: \pi \neq 0.24$.

2. Find the p-value for a standard normal distribution:
   The p-value is calculated as:

   $p = 2 \times P(Z > |1.8|)$

3. Look up $P(Z > 1.8)$ in the standard normal table:
   The probability that $Z$ is less than 1.8 is:

   $P(Z < 1.8) = 0.9641$

   Therefore, the probability that $Z$ is greater than 1.8 is:

   $P(Z > 1.8) = 1 - 0.9641 = 0.0359$

4. Compute the two-tailed p-value:
   $p = 2 \times 0.0359 = 0.0718$

5. Compare with answer choices:
   The closest option is not listed exactly, but 0.0668 is the closest.

Answer:

Choice 2 of 4: 0.0668.

Do you want a more detailed explanation?

Here are 5 related questions:

1. How do you interpret a p-value in hypothesis testing?
2. What does a two-tailed test mean in hypothesis testing?
3. How do you determine significance using a p-value and alpha level?
4. How do you calculate a z-test statistic from sample data?
5. What are the assumptions needed for a z-test to be valid?

Tip: When performing a hypothesis test, always check if it's one-tailed or two-tailed to correctly calculate the p-value!