A student decides to spin a dime and determine the proportion of times it lands on heads. The student spins the dime 25 times and records that it lands on heads 17 times. He decides to spin the dime again and spins it 100 times. Which of the following is a correct statement about the variability of the sampling distribution?

The variability of a sample proportion’s sampling distribution is measured by its standard error, which decreases as the sample size increases. Here, the number of spins grows from 25 to 100, so the sampling distribution of the proportion of heads becomes less variable. The population variability does not change just because the sample size changes.

AI-written and checked against the verified answer.