-According to a study conducted by a statistical organization, the proportion of people who are satisfied with the way things are going in their lives is 0.82.Suppose that a random sample of 100 people is obtained. Complete parts (a) and (b) below.(a) Describe the sampling distribution of p, the proportion of people who are satisfied with the way things are going in their life. Be sure to verify the modelrequirements.Since the sample size is no more than 5% of the population size and np(1-p)-[14.76 ≥10, the distribution of p is approximately normal with andP(Round to three decimal places as needed.)(b) What is the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.85?The probability that the proportion who are satisfied with the way things are going in their life exceeds 0.85 is(Round to four decimal places as needed.)

Answered: According to a study conducted by a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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he Princeton Review, a company that tracks information about various colleges, reports that 30% of CofC students are out-of-state students. If we took many samples of CofC students, and for each sample calculate the proportion $\hat{p}$ of out-of-state students in that sample, what would be the center of this distribution?
Consider a random sample of 300 students in a university, 75 of them declared that they like playing football. Compute a point estimate of the proportion of all students who would like to play football.
On average, a sample of n = 36 scores will provide a better estimate of the population mean than a sample of n = 49 scores from the same population.
The sample mean and sample variance of Fire Jata valves are X = 104 and 5² = 16. If three of the data values are 102, 100, and 105, What are the other two Jaté Values?
A researcher believes that among the residents of a remote community, 30% have type O blood, 50% have type A blood, 10% have type B blood and 10% have type AB blood. She takes a random sample of 80 residents and finds that 20 had type O blood, 40 had type A blood, 12 had type B blood and 8 had type AB blood. Do the data follow the hypothesized distribution of blood type for this community? Test at a = .05. Round your answers to three decimal places, if necessary. Null hypothesis: Ho: Po = 0.3, PA = 0.5, PB = 0.1, PAB = 0.1 20 40 12 8 80 80 80 80 1 1 1 20 40 8 Ho: Po = Ho: Po = Alternative hypothesis: Ho: Po = PA = PB = PAB = Ha: po # Type O 1 Ha: Po PA PB = PAB = 4 20 › PA = PA = Type 0 20 24 40 80 80 Ha: Po 0.3, PA # 0.5, PB At least one of the proportions is different. Complete the table of observed counts: Type O , PA # 0.667 Type A PB = PB = 40 Type A 40 What is the test statistic? 2.667 1 ,PB # 0 , PAB = 1 12¹ PAB Complete the table of expected counts under the null hypothesis: 12…
The first experiment I created 200 samples with 10 students in each and took each sample's mean. The mean of this distribution was about 10.7 miles with a standard deviation of 3.7 miles. (See video) Next I did 200 samples with 20 students each, then I did 200 samples with 50 students each and finally I did 200 samples with 100 students each. Watch the following video and answer the following questions about the sampling distributions being created. 1) For the samples with 100 students each, when the sampling is complete, what will the mean be close to or equal to? 2) For the samples with 100 students each, when the sampling is complete, will the standard deviation be smaller than the standard deviation for the samples with 50 students each? 3) What is the mean of the population of students that I am randomly sampling from? 4) What is the name of the important theorem that I am demonstrating right now.?
If the underlying population of study is not normally distributed, how large should the sample size be? What if the population is normally distributed ?

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