Question

2. What is the sample proportion of heads in your sample of 40? Report this value to your teacher.

Answer 1

Answer:

$\frac{18}{40}=0.45$

Though it may vary, it's going closer to 0.5 as long as we enlarge our sample.

Step-by-step explanation:

1) Since a coin has heads and tails, then a sample proportion of 40 we can simulate it using some applets.

2) Here are the most common outcomes, as long as we continue on flipping coins.

$\frac{18}{40}=0.45$

If we continue enlarging our sample (80, 120,160...) the probability goes closer to 0.5

This shows: the theoretical probability goes closer and closer to the experimental probability of heads and tails

$S_{80}=0.503\\S_{120}=0.50$