Suppose that 60% of registered voters support candidate A. A pollster will obtain a random sample...

Suppose that 60% of registered voters support candidate A. A pollster will obtain a random sample of 200 registered voters. What is the probability that at least 126 of the individuals in the sample support A? Do not employ a continuity correction.

0.8078

0.2447

0.1922

0.0749

0.5956

Solutions

Expert Solution

Solution :

Given that,

p = 0.60

q = 1 - p = 1 - 0.60 = 0.40

n = 200

Using binomial distribution,

= n * p = 200 * 0.60 = 120

= n * p * q = 200 * 0.60 * 0.40 = 6.93

Using continuity correction ,

P(x > 126) = 1 - P(x < 126 )

= 1 - P((x - ) / < (126 - 120) / 6.93)

= 1 - P(z < 0.87 )

= 1 - 0.8078

= 0.1922

orchestra answered 1 year ago

Next > < Previous

Related Solutions

In a random sample of 60 voters, 34 reported they voted for Candidate A and 26...

In a random sample of 60 voters, 34 reported they voted for Candidate A and 26 reported they voted for Candidate B. Let G denote a random variable equal 1 if the person voted for A and 0 if the person voted for B. (a) Find the sample average, ¯ G, and sample variance, S^2 G, of variable G. (b) Does Candidate A have more than 50% of the popular vote? Formulate and test the corresponding null and alternative hypotheses...

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.

Fifty percent of registered voters in a congressional district are registered Democrats. The Republican candidate takes...

Fifty percent of registered voters in a congressional district are registered Democrats. The Republican candidate takes a poll to assess his chances in a two-candidate race. He polls 1200 potential voters and finds that 621 plan to vote for the Republican candidate. Does the Republican candidate have a chance to win? Use a=0.05 PLEASE SHOW CLASSICAL & P-VALUE APPROACHES & TI84 METHODS FOR FINDING CV, P-VALUE & TEST STAT.

A polling organization collected data on a sample of 60 registered voters regarding a tax on...

A polling organization collected data on a sample of 60 registered voters regarding a tax on the market value of equity transactions as one remedy for the budget deficit. Opinion about Market Tax Education High School College Grad. MBA Favorable 15 5 0 Undecided 10 8 2 Unfavorable 0 2 18 a. Compute gamma for the table. b. Compute tau b or tau c for the same data. c. What accounts for the differences? d. Decide which is more suitable...

Suppose 56% of the registered voters in a country are Republican. If a sample of 447...

Suppose 56% of the registered voters in a country are Republican. If a sample of 447 voters is selected, what is the probability that the sample proportion of Republicans will be greater than 60%? Round your answer to four decimal places.

Suppose 40% of the registered voters in a country are Republican. If a sample of 815...

Suppose 40% of the registered voters in a country are Republican. If a sample of 815 voters is selected, what is the probability that the sample proportion of Republicans will differ from the population proportion by more than 4%? Round your answer to four decimal places.

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 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...

Subjects