Probability based on binomial distribution

Reference no: EM1312027

Probability based on Binomial distribution

Suppose that the military dictator in an unnamed country holds a plebiscite (a yes/no vote of confidence) and claims that he was supported by 65% of the voters. A human rights group suspects foul play and hires you to test the validity of the dictator's claim. You have a budget that allows you to randomly sample 200 voters from the country.

(i) Let X be the number of yes votes obtained from a random sample of 200 out of the entire voting population. What is the expected value of X if, in fact, 65% of all voters supported the dictator?

(ii) What is the standard deviation of X, again assuming that the true fraction voting yes in the plebiscite is .65?

(iii) Now, yes collect your sample of 200, and you find that 115 people actually voted yes. Use the CLT to approximate the probability that you would find 115 or fewer yes votes from a random sample of 200 if, in fact 65% of the entire population voted yes.

(iv) How would you explain the relevance of the number in part (iii) to someone who does not have training in statistics?

Reference no: EM1312027

Questions Cloud

Estimate the acceleration of cyclist and roller coaster : Estimate the acceleration of cyclist, and roller coaster.

Movement of a company''s administrative : The movement of a company's administrative offices from New York City to New Jersey where rent costs are lower and The use of two work shifts instead of three in the manufacturing plant.

Determines the nature of molecular bonds : A soccer player 'heads' the size 5 ball deflecting it by 46.0°, and keeps its speed of 15.90 m/s constant. A size 5 ball has a mass of approximately 0.421 kg. What is the magnitude of the impulse which the player must impart to the ball.

Corporate lawyer also converts duplex : Dane decides to give up a job earning $100,000 every year as a corporate lawyer also converts the duplex that he owns into a UFO museum had been renting the duplex for $20,000 a year.

Probability based on binomial distribution : Let X be the number of yes votes obtained from a random sample of 200 out of the entire voting population. What is the expected value of X if, in fact, 65% of all voters supported the dictator?

Determine the standard cost per unit : Determine the standard cost per unit and determine material, labor, and overhead variances, List a possible cause for each variance.

The bullet remains embedded in the block : A car of mass 1110 kg travels at a speed of 20 ms-1 along a straight road. The driver sees a red traffic light ahead, and applies brakes. The coefficient of friction between the car tyres and the road is 0.83. Take the acceleration due to gravity to ..

Creating confidence interval for proportion of all kernels : Create a 90% confidence interval for proportion of all kernels that would not pop.

What is the share of total income : If the economy is competitive so that factors of production are paid the value of their marginal products, illustrate what is the share of total income that will go to land.

User Account

All Pages