Question

a county clerk was supposed to use randomness to assign the order in which candidates names appeared on voting ballots. among 39 different ballots, democratic candidate names were placed on the first line 30 times. the probability of a result that high is 0.000532509817. assuming randomness was used, is the result of 30 democratic candidate names being placed on the first line significantly low, significantly high, or neither?
the probability of a result of 30, which is 0.000532509817, is ▼ 0.05. the result, \\(\frac{30}{39}\\), is ▼ what is expected with randomness. the result of 30 is ▼

Explanation:

Step1: Compare probability to 0.05

The probability of the result (0.000532509817) is less than 0.05. So we fill the first box with "less than".

Step2: Analyze the result vs random expectation

Since the probability is very low (less than 0.05), the result \( \frac{30}{39} \) is much higher than what's expected with randomness (because a low probability for such a high count means it's unusual for randomness). So the second box is "much higher than", and the third box (conclusion) is "significantly high" because a result with such a low probability of occurring by randomness is considered significantly high.

Answer:

First box: less than; Second box: much higher than; Third box: significantly high