Question

a county clerk was supposed to use randomness to assign the order in which candidates names appeared on voting ballots. the republican candidate and the democratic candidate should have the same chance of appearing on the first line. among 46 different ballots, the democratic candidates name was placed on the first line 6 times. the probability of a result that low is 0.000000. assuming randomness was used, is the result of 6 democratic candidate names being placed on the first line significantly low, significantly high, or neither?

the probability of a result of 6 which is 0.000000, is ▼ 0.05. the result, \\(\frac{6}{46}\\), is ▼ what is expected with randomness. the result of 6 is ▼

Explanation:

Step1: Compare Probability to 0.05

The probability of the result (6 Democratic candidates on first line) is 0.000000. We compare this to 0.05. Since \( 0.000000 < 0.05 \), the probability is less than 0.05.

Step2: Analyze Expected Result

With randomness, each candidate (Republican and Democratic) should have an equal chance, so we'd expect around \( \frac{46}{2} = 23 \) times for each on the first line. The result \( \frac{6}{46} \) is much less than \( \frac{23}{46} \) (which is 0.5), so it's less than what's expected.

Step3: Determine Significance

Since the probability is less than 0.05 and the result is less than the expected (23), the result of 6 is significantly low.

Answer:

First dropdown: less than; Second dropdown: less than; Third dropdown: significantly low