Finding Binomial Probabilities
National polls from October 2016 showed that preferences for the
2016 presidential election differed along gender lines. Poll
results showed that a greater percentage of likely female voters
supported Clinton/Kaine, while a greater percentage of likely male
voters supported Trump/Pence. A summary of poll results are shown
in the table below.
Men | Women | |
---|---|---|
Clinton/Kaine | 0.44 | 0.49 |
Trump/Pence | 0.47 | 0.43 |
Based on this data, answer the following questions. Assume each
person selected is independent from one another. Round your answers
to 3 decimal places.
(a) If 30 women across the US are randomly selected, find the
probability that 26 or more support
Clinton/Kaine.
(b) If 20 men across the US are randomly selected, find the
probability that 14 or less support Trump/Pence.
(c) If 220 women across the US are randomly selected, how many
would you expect to support Clinton/Kaine?
(d) If 340 men across the US are randomly selected, how many would
you expect to support Trump/Pence?
Finding Binomial Probabilities National polls from October 2016 showed that preferences for the 2016 presidential election...
Finding Binomial Probabilities National polls from October 2016 showed that preferences for the 2016 presidential election differed along gender lines. Poll results showed that a greater percentage of likely female voters supported Clinton/Kaine, while a greater percentage of likely male voters supported Trump/Pence. A summary of poll results are shown in the table below. Men Women Clinton/Kaine 0.44 0.49 Trump/Pence 0.47 0.43 Based on this data, answer the following questions. Assume each person selected is independent from one another. Round...
According to exit polls, the voting "gender gap" was 22 points in the 2016 House of Representatives election; that is, women voted for Democrats by 10 percentage points, and men voted for Republicans by 12 percentage points. Political scientists are curious to see if this gap holds- or increases- in 2018, but statisticians might be more interested in the processes behind exit polling and the rellabllity of thelr results. When conducting exit polls, pollsters will randomly select a certain number...