Suppose that 45% of voters favor democracy. Of all voters that favor democracy, 42% are male....

Suppose that 45% of voters favor democracy. Of all voters that favor democracy, 42% are male. What is the probability that a randomly selected voter is a male and favors democracy? Please show all work.

Expert Solution

To understand this first let us know all the points that are given to us,

45% of voters favour democracy.
Of all voters that favour democracy, 42% are male

We need to find the probability that a randomly selected voter is a male and favours democracy

Let us consider there are a total of 1000 people and we know that 45% favours democracy.

Therefore number of people that favours democracy is=

Therefore 450 people favours democracy.

Now it is said that of all voters that favour democracy, 42% are male.

Therefore number of people that favours democracy and are male=

Therefore number of people that favours democracy and are male=189

Total number of people that we had=1000

Therefore probability that a randomly selected voter is a male and favours democracy is=

Therefore probability that a randomly selected voter is a male and favours democracy is=0.189

orchestra answered 1 year ago

suppose that 65% of all registered voters in an area favor a certain policy. Among 225...

suppose that 65% of all registered voters in an area favor a certain policy. Among 225 randomly selected registered voters, find the following: P(x ≤ 150) , the probability that at most 150 favor the policy? Round to two decimal places. P(x ≥ 140) , the probability that at least 140 favor the the policy? Round to two decimal places.

Suppose that a survey of registered voters shows that 58% of people surveyed are in favor...

Suppose that a survey of registered voters shows that 58% of people surveyed are in favor of changing the constitution to eliminate use of the electoral college in presidential elections. Define a success as "a person is in favor of the change". (a) What is p, the probability of success on a single trial? _______ (show 2 decimal places) (b) You decide to conduct a very small survey using 10 people to see whether you get similar results. For your...

Of all the arguments in favor and against Democracy promotion, which do you think is the...

Of all the arguments in favor and against Democracy promotion, which do you think is the strongest argument FOR and the strongest argument AGAINST the U.S. promoting democracy abroad?

In a random sample of 50 voters, intended to show that more voters are in favor...

In a random sample of 50 voters, intended to show that more voters are in favor of candidate A, 34 said they favor candidate A. (a) What is the probability that this many or more voters would favor A is the true proportion of all eligible voters favoring A is 0.54? (b) Is the result significant at the 0.05 level? What about the 0.01 level? Explain your answers.

In a survey of 865 registered voters in Washington, 408 people are in favor of making...

In a survey of 865 registered voters in Washington, 408 people are in favor of making Pi Day an official holiday. 1. Which of the following would be the appropriate format for a confidence interval for the proportion of Washington voters who are in favor of making Pi Day an official holiday? A. a<σ<b B. a<¯x<b C. a<μ<b D. a<s<b E. a<p<b F. a<ˆp< G. a<x<b H. a<n<b 2. Using the format you selected above, find the 95% confidence interval...

A random sample of 500 registered voters in Phoenix is asked if they favor the use...

A random sample of 500 registered voters in Phoenix is asked if they favor the use of oxygenated fuels throughout the year to reduce pollution. If more than 315 voters respond positively, we conclude that at least 60% of the voters favor the use of these fuels. a) Find the type I error probability if exactly 60% of the voters favor the use of these fuels. b) What is the probability of error type II β if 75% of the...

In Milwaukee, they randomly sampled 280 female voters, and 220 male voters. They collected data on...

In Milwaukee, they randomly sampled 280 female voters, and 220 male voters. They collected data on the respondent's opinion on building a new sports stadium. We want to know whether there is good evidence that one's gender influences whether a person is for or against the new stadium. Use αα = 0.05. For Bond Issue Against Bond Issue Total Men 77 203 280 Women 14 206 220 Total 91 409 500 a) What is the correct null hypothesis? HoHo: p1=p2=p3=p4p1=p2=p3=p4...

In a certain town, 22% of voters favor a given ballot measure. For groups of 21...

In a certain town, 22% of voters favor a given ballot measure. For groups of 21 voters, find the variance(??) for the number who favor the measure.

A survey of 865 voters in one state reveals that 408 favor approval of an issue....

A survey of 865 voters in one state reveals that 408 favor approval of an issue. Construct the 95% confidence interval for the true proportion of all voters in the state who favor approval. A) 0.444 < p < 0.500 B) 0.471 < p < 0.472 C) 0.438 < p < 0.505 D) 0.435 < p < 0.508

A senator wishes to estimate the proportion of United States voters who favor abolishing the Electoral...

A senator wishes to estimate the proportion of United States voters who favor abolishing the Electoral College.How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 3%?

Question