A political scientist conducts a public opinion poll to assess the probability that someone will vote in an upcoming election. The sample size is n = 100. The observed proportion of people who plan on voting is 0.45. The political scientist wants to test the null hypothesis that that the probability that someone in the population will vote is at least .6. What is the p-value associated with the null hypothesis?

Please note that it is possible that you will get a slightly different result because of rounding. If that is the case, choose the answer that is close to your calculations.

Question

A political scientist conducts a public opinion poll to assess the probability that someone will vote in an upcoming election. The sample size is n = 100. The observed proportion of people who plan on voting is 0.45. The political scientist wants to test the null hypothesis that that the probability that someone in the population will vote is at least .6. What is the p-value associated with the null hypothesis?

Please note that it is possible that you will get a slightly different result because of rounding. If that is the case, choose the answer that is close to your calculations.

beginnersmind · Answer

"The political scientist wants to test the null hypothesis that that the probability that someone in the population will vote is at least .6. What is the p-value associated with the null hypothesis?"

You can rewrite this as : "Given that 60% of all people will vote in an election, what is the probability that out of 100 randomly selected people 45 or less will vote?", which can be calculated directly using the binomial distribution.