Question

In: Statistics and Probability

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 voters favor this action?

Solutions

Expert Solution

SOLUTION


Related Solutions

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.
Use the information below to answer questions 11-15. A random sample of 1000 voters registered in...
Use the information below to answer questions 11-15. A random sample of 1000 voters registered in the state of Montana showed that 490 voted in the last general election. A random sample of 800 voters in the state of Arizona showed that 368 voted in the most recent general election. Do these data indicate that the population percentage of voter turnout in Arizona is lower than that in Montana? 11. Choose the appropriate null and alternate hypotheses. a. Null: The...
A sample of 500 male registered voters showed that 57% of them voted in the last...
A sample of 500 male registered voters showed that 57% of them voted in the last presidential election. Another sample of 400 female registered voters showed that 55% of them voted in the same election. a. Construct a 97% confidence interval for the difference between the proportions of all male and all female registered voters who voted in the last presidential election. b. Test at the 1% significance level whether the proportion of all male voters who voted in the...
In a sample of 500 registered voters, 314 of them said they support Bruce Wayne for...
In a sample of 500 registered voters, 314 of them said they support Bruce Wayne for the president of the US. Compute a 98% confidence interval for the true percent of support Bruce Wayne has.
In a randomly selected sample of 500 registered voters in a community, 120 individuals say that...
In a randomly selected sample of 500 registered voters in a community, 120 individuals say that they plan to vote for Candidate Y in the upcoming election. (a) Find the sample proportion planning to vote for Candidate Y. (Round your answer to two decimal places.) (b) Calculate the standard error of the sample proportion. (Round your answer to three decimal places.) (c) Find a 95% confidence interval for the proportion of the registered voter population who plan to vote for...
A random sample of n1 = 290 voters registered in the state of California showed that...
A random sample of n1 = 290 voters registered in the state of California showed that 143 voted in the last general election. A random sample of n2 = 216 registered voters in the state of Colorado showed that 130 voted in the most recent general election. Do these data indicate that the population proportion of voter turnout in Colorado is higher than that in California? Use a 5% level of significance. (a) What is the level of significance? State...
A random sample of n1 = 286 voters registered in the state of California showed that...
A random sample of n1 = 286 voters registered in the state of California showed that 140 voted in the last general election. A random sample of n2 = 221 registered voters in the state of Colorado showed that 126 voted in the most recent general election. Do these data indicate that the population proportion of voter turnout in Colorado is higher than that in California? Use a 5% level of significance. What is the level of significance? State the...
A random sample of n1 = 297 voters registered in the state of California showed that...
A random sample of n1 = 297 voters registered in the state of California showed that 144 voted in the last general election. A random sample of n2 = 216 registered voters in the state of Colorado showed that 130 voted in the most recent general election. Do these data indicate that the population proportion of voter turnout in Colorado is higher than that in California? Use a 5% level of significance. (a) What is the level of significance? State...
A random sample of n1 = 283 voters registered in the state of California showed that...
A random sample of n1 = 283 voters registered in the state of California showed that 140 voted in the last general election. A random sample of n2 = 217 registered voters in the state of Colorado showed that 129 voted in the most recent general election. Do these data indicate that the population proportion of voter turnout in Colorado is higher than that in California? Use a 5% level of significance. (a) What is the level of significance? State...
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...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT