Exit polling is a popular technique used to determine the outcome of an election prior to results being tallied. Suppose a referendum to increase funding for education is on the ballot in a large town (voting population over 100,000). An exit poll of 300 voters finds that 144 voted for the referendum. How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.51? Based on your result, comment on the dangers of using exit polling to call elections.

A) The probability is 0.0838.

B) the use of exit polling to call elections is dangerous event.

Step-by-step explanation:

We are given;

A referendum to increase funding for education is on the ballot in a large town (voting population over 100,000)

Number voters in an exit poll; N = 300

Number of voters who favored referendum; X = 144

probability of sample proportion if the population proportion of voters in the town in favor of the referendum; p = 0.51

Sample proportion of voters who favored referendum is given as,

p' = 144/300

p' = 0.47

Using the central limit theorem, the sampling distribution of proportion for a large sample size of 300,follows normal distribution with mean same as population proportion and standard deviation given by the formula;

s = √(p(1 - p)/n

s = √(0.51(1 - 0.51)/300

s = 0.028862

np = 300 x 0.51 = 153

n(1 - p) = 300(1 - 0.51)

n(1 - p) = 147

np and n(1 - p) are both greater than 5,thus;

the probability of sample proportion if the population proportion of voters in the town in favor of the referendum is 0.51 is expressed as follows,

P(p > p') = P(Z < (p'- p)/s)

P(p > p') = P(Z < (0.47 - 0.51)/0.028862)

P(p > p') = P(Z < - 1.386)

From the table i attached, the z value is 0.0838

Thus, the probability of occurrence of sample proportion given the population proportion of voters in the town in favor of the referendum of 0.51 is 0.0838

Based on these results, it is observed that the exit poll proportion result is a rare event with very less probability of occurrence. Hence, if translated for entire population, it might lead to incorrect results.

Hence the use of exit polling to call elections is dangerous event.

5/12, or 5: 12

step-by-step explanation:

there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.