Please include steps 7. In a survey of n=550 randomly selected individuals, X=260 felt that Ronald...

Please include steps 7. In a survey of n=550 randomly selected individuals, X=260 felt that Ronald Reagan spent too much time away from Washington. Find a 92% confidence interval for the proportion

Expert Solution

1)Level of Significance, α = 0.08

2)

Number of Items of Interest,   x =   260
Sample Size,   n =    550

Sample Proportion ,    p̂ = x/n =    0.4727

3)z -value =   Zα/2 =    1.960   [excel formula =NORMSINV(α/2)]

4) Standard Error ,    SE = √[p̂(1-p̂)/n] =    0.021288
5) margin of error , E = Z*SE =    1.960   *   0.02129   =   0.0373

92%   Confidence Interval is
6) Interval Lower Limit = p̂ - E =    0.47273   -   0.03727   =   0.435
7) Interval Upper Limit = p̂ + E =   0.47273   +   0.03727   =   0.510

92%   confidence interval is (   0.4355   < p <    0.5100   )

orchestra answered 2 years ago

A sample of n=28 individuals is randomly selected from a population with a mean of µ=...

A sample of n=28 individuals is randomly selected from a population with a mean of µ= 63, and a treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M=68. a. If the sample variance = 96, are the data sufficient to reject the null and conclude that the treatment has a significant effect using a two-tailed test with alpha = .05? Be sure to show all formulas with symbols (and plug...

SHOW ALL STEPS: Let X be the live weight of a randomly selected 4-month old male...

SHOW ALL STEPS: Let X be the live weight of a randomly selected 4-month old male lamb. Suppose X follows a normal distribution with a mean of 38 kg and a standard deviation of 2.5 kg. In this question, we consider a sample of sixteen 4-month old male lambs. Denote by X¯ the mean live weight of these 16 lambs. (a) State the distribution, with the corresponding parameters, of X¯ . (b) Manually calculate the probability that the mean live...

Here are summary statistics for randomly selected weights of recent girls: n equals 168, x =...

Here are summary statistics for randomly selected weights of recent girls: n equals 168, x = 27.2 hg, s = 7.5 hg. Construct a confidence interval estimate of the mean. Use a 99% confidence level. Are these results very different from the confidence interval 25.4 hg < u < 29.4 hg with only 19 sample values, x= 27.4 hg, and s =n3.1 hg?

Here are summary statistics for randomly selected weights of newborn girls: n = 192, X=26.5 hg,...

Here are summary statistics for randomly selected weights of newborn girls: n = 192, X=26.5 hg, S= 7.1 Construct a confidence interval estimate of the mean. Use a 99% confidence level. Are these results very different from the confidence interval 24.4 hg < U < 28.0 hg with only 19 sample values, X= 26.2 hg, and S= 2.7 Hg? What is the confidence interval for the population mean ? ? ___hg < U< ___ hg

please show steps Let X ∼ N (100, 25) be a normal random value. Find: (a)...

please show steps Let X ∼ N (100, 25) be a normal random value. Find: (a) P[93 < X < 107] (b) P[93 < X < 100] (c) P[93 < X < 109] (d) P[X < 109] (e) P[X > 107] (f) P[|X| > 107] (g) P[|X| < 93] (h) 67-th percentile n(0.67) (i) 23-th percentile n(0.23)

. Find all x ∈ Z143 such that x2Ξ 7 (mod 143). Please explain all steps...

. Find all x ∈ Z143 such that x2Ξ 7 (mod 143). Please explain all steps and details clearly, it would be much appreciated, thanks!

Here are summary statistics for randomly selected weights of newborn girls: n=210, x =26.9 hg, s=6.1...

Here are summary statistics for randomly selected weights of newborn girls: n=210, x =26.9 hg, s=6.1 hg. Construct a confidence interval estimate of the mean. Use a 90% confidence level. Are these results very different from the confidence interval 25.8 hg <ul <27.4 hg with only 16 sample values, x =26.6 hg, and s =1.9 hg?

Q7. Here are summary statistics for randomly selected weights of newborn girls: n=210, x overbarx=28.9 hg,...

Q7. Here are summary statistics for randomly selected weights of newborn girls: n=210, x overbarx=28.9 hg, s=6.3hg. Construct a confidence interval estimate of the mean. Use a 99% confidence level. Are these results very different from the confidence interval 27.0 hgless than What is the confidence interval for the population mean muμ? ____hgless than

Here are summary statistics for randomly selected weights of newborn girls: n=187, x =30.8 hg, s=7.9...

Here are summary statistics for randomly selected weights of newborn girls: n=187, x =30.8 hg, s=7.9 hg. Construct a confidence interval estimate of the mean. Use a 90% confidence level. Are these results very different from the confidence interval 29.0 hg-mu-t32.4 hg with only 14 sample values, x=30.7 hg, and s=3.6 hg

The following sample observations were randomly selected. X: 5 6 2 7 11 Y: 3 6...

The following sample observations were randomly selected. X: 5 6 2 7 11 Y: 3 6 4 6 6 (a) Determine the 0.90 confidence interval for the mean predicted when X = 7. (Do not round the intermediate values. Round your answers to 3 decimal places.) What is Confidence interval_____ (b) Determine the 0.90 prediction interval for an individual predicted when X = 7. (Do not round the intermediate values. Round your answers to 3 decimal places.) What is Prediction...

Question