A national poll was conducted to determine the proportion of people that prefer a Congressional candidate by the name of Bianca. After completing the poll, a 99% confidence interval was calculated to show the proportion of the population that preferred Bianca. The confidence interval was:

0.567

Can we be reasonably sure that Bianca will have at least 50% of the vote?

• Yes
• No

Why or why not?

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A particular bank requires a credit score of 608 to get approved for a loan. After taking a sample of 183 customers, the bank finds the 99% confidence interval for the mean credit score is:

589< <666

Can we be reasonably sure that a majority of people will have a credit score over 608 and be able to get the loan?

• Yes
• No

Why or why not?