The sampling distribution of sample proportion is normal with mean p and variance p ( 1- p )/n
here p = 0.35 and n = sample size = 166
So that mean = = p = 0.35
variance =
Therefore -2* = (after rounding up to two decimal places)
and + 2* = (after rounding up to two decimal places)
Therefore first 0.28 , then 0.35 and then 0.42 are the answers.
2) We want to find P( p > 0.14 )
Let's write the given information
P = 0.12 , n = 100
mean = = P = 0.12
standard deviation =
P( p > 0.14 ) = 1 - P( p < 0.14) ----------(1)
Using excel:
P( p < 0.14) = "=NORMDIST(0.14,0.12,0.0325,1)" = 0.7309
Plug this value in equation 1, we get
P( p > 0.14 ) = 1 - 0.7308 = 0.2691
In an election, suppose that 35% of voters support creating a new fire district. If we...
In an election, suppose that 50% of voters support a school levy increase. If we poll 196 of these voters at random, the probability distribution for the proportion of the polled voters that support a school levy increase can be modeled by the normal distribution pictured below. Complete the boxes accurate to two decimal places
r Test 2 Suppose the true proportion of voters in the county who support a new fire district is 047. Consider the sampling distribution for the proportion of supporters with sample size n 171 What is the mean of this distribution? What is the standard error of this distribution? Preview Points pessble 1 Unlimited attempts Licenze tn Submit 스[1/1) 10.6/14
Suppose the true proportion of voters in the county who support a lower capital gains tax is 0.18. Consider the sampling distribution for the proportion of supporters with sample size 75 What is the mean of the sampling distribution? What is the standard deviation of the sampling distribution?
Suppose the true proportion of voters in the county who support a specific candidate is 0.45. Consider the sampling distribution for the proportion of supporters with sample size n = 159. What is the mean of this distribution? What is the standard deviation of this distribution?
In an certain species of newt, offspring are born either green or black. Suppose that 55% of these newts are born green. If we sample 1 65 of these newts at random, the probability distribution for the proportion of green newts in the sample can be modeled by the normal distibution pictured below. Complete the boxes accurate to two decimal places Note: The left box is 2 standard deviations below the mean. The middle box is the mean. And, the...
Suppose the true proportion of voters in the county who support a restaurant tax is 0.46. Consider the sampling distribution for the proportion of supporters with sample size n = 169. What is the mean of this distribution? What is the standard deviation of this distribution? Question Help: D Post to forum Submit Question
Suppose you have a sample size of 36 with a mean 79 and a population standard deviation of 8. Based on this, construct a 99% confidence interval for the true population mean. As in the reading, in your calculations: --Use z = 1.645 for a 90% confidence interval --Use z = 2 for a 95% confidence interval --Use z = 2.576 for a 99% confidence interval. Give your answers as decimals, to two places [ , ] A group of...
A population of values has a normal distribution with u = 72 and a 3.1. You intend to draw a random sample of size n = 154. Find the probability that a single randomly selected value is between 71.3 and 71.7. P(71.3 < X< 71.7) = Find the probability that a sample of size n 154 is randomly selected with a mean between 71.3 and 71.7. P(71.3 M<71.7) Enter your answers as numbers accurate to 4 decimal places. Answers obtained...
Please Help me to full the all blank (11 blanks in total) 6. The sampling distribution of the sample proportion In 2007, about 30% of new-car purchases in California were financed with a home equity loan. [Source: "Auto Industry Feels the Pain of Tight Credit," The New York Times, May 27, 2008.] The ongoing process of new-car purchases in California can be viewed as an infinite population Define p as the proportion of the population of new-car purchases in California...
6. The sampling distribution of the sample proportion Aa Aa In 2007, about 14% of new-car purchases in New York were financed with a home equity loan. [Source: "Auto Industry Feels the Pain of Tight Credit," The New York Times, May 27, 2008.] The ongoing process of new-car purchases in New York can be viewed as an infinite population Define p as the proportion of the population of new-car purchases in New York that are financed with a home equity...