We hope you noticed several important things while working through this activity. First, no matter whatthe sample size was, our sampling distributions were always centered at the claimed populationproportion of 0.50. As the sample size got bigger, there was less variability among our sample statistics.Further, all of the sampling distributions in this case had a shape that we would consider to beapproximately Normal. When the sample size is large enough (and we'll say more about what "largeenough" is in a future lecture), the sampling distribution will have a Normal shape.Let's look again at our distributions of sample proportions for the three different sample sizes, from left toright below (n = 25, n = 50, and n = 100). Please answer the following questions based on what you seein the graphs below.n = 25Mean = 0.50n= 50Mean = 0.50n = 100Mean = 0.50Standard deviation = 0.1Standard deviation:0.071Standard deviation = 0.050.12 0.24 0.36 0.48 0.60 0.72 0.84 0.960.30 0.36 0.42 0.48 0.54 0.60 0.66 0.720.160.24 0.32 0.400.48 0.560.64 0.720.800.88Proportion of orangeProportion of orangeProportion of orange2000 4000 6000 800100081000710009000912000 18000 Again, without performing any calculations,' what would be less likely to occur: Obtaining asample proportion of 0.60 or larger when randomly selecting a sample of size n = 25, or obtaininga sample proportion of 0.60 or larger when randomly selecting a sample of size n =50?Pleaseexplain

Again, without performing any calculations, what would be less likely to occur: Obtaining a sample proportion of 0.60 or larger when randomly selecting a sample of size n = 25, or obtaining a sample proportion of 0.60 or larger when randomly selecting a sample of size n = 50? Please

Again, without performing any calculations, what would be less likely to occur: Obtaining a sample proportion of 0.60 or larger when randomly selecting a sample of size n = 25, or obtaining a sample proportion of 0.60 or larger when randomly selecting a sample of size n = 50? Please

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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The owner of a small pet supply store wants to open a second store in another city, but he only wants to do so if more than one -third of the citys households have pets( otherwise there wont be enough business). he samples 150 of the households and finds that 64 have pets. 1. state the parameters and hypothesis 2. find the observed sample statistic 3. what is the p- value, and is this statistically significant?
A state-by-state survey found that the proportions of adults who are smokers in state A and state B were 22.9% and 19.3%, respectively. (Suppose the number of respondents from each state was 3000.) At a = 0.05, can you support the claim that the proportion of adults who are smokers is lower in state A than in state B? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. The claim is "the proportion of adults who are smokers in state A is the proportion of adults who are smokers in state B." Let p, and p2 be the two population proportions. State H, and Ha. Choose the correct answer below. O A. Ho: P1 = P2 Hạ: P1 # P2 O B. Ho: P1 P2 Ha: P1 SP2 D. Ho: P1 sP2 F. Ho: P1 2 P2 Ha: P1 > P2 Ha: P1 1.96 ОС. z2 -1.64 D. z 1.64 E. z - 1.96 (c) Find the standardized test statistic.
‘In 1996, 31% of students reported that their mothers had graduated college. In 2000, the percentage grew to 32%. The sample size used for both reports was 8368 students. What is the p-value?’
You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.02 margin of error at a 80% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.02 margin of error? Round your answer up to the nearest whole number. n = ___ households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of ˆp=0.235p^=0.235 . Using this new information. what sample size should you gather in order to obtain a 0.02 margin of error? Round your answer up to the nearest whole number. n = ____ households
When determining the sample size, the margin of error is double the same as not related half of OO interval width.
You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.03 margin of error at a 95% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.03 margin of error? Round your answer up to the nearest whole number. n = households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of p= 0.23. Using this new information. what sample size should you gather in order to obtain a 0.03 margin of error? Round your answer up to the nearest whole number. n = households Question Help: Video Message instructor Submit Question
You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.02 margin of error at a 90% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.02 margin of error? Round your answer up to the nearest whole number. n = households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of ˆp=0.22p^=0.22 . Using this new information. what sample size should you gather in order to obtain a 0.02 margin of error? Round your answer up to the nearest whole number. n = households
A study is to be made to estimate the proportion of residents of a certain city and its suburbs who favor the construction of a nuclear power plant near the city. How large a sample is needed if one wishes to be at least 90% confident that the estimate is within 0.03 of the true proportion of residents who favor the construction of the nuclear power plant?
You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.02 margin of error at a 95% level of confidence. a) With no prior research, what sample size should you gather in order to obtain a 0.02 margin of error? Round your answer up to the nearest whole number. n = ____ households b) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of ˆp=0.225p . Using this new information. what sample size should you gather in order to obtain a 0.02 margin of error? Round your answer up to the nearest whole number. n = ____ households
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Suppose I want to sample the household incomes for EBR parish. Let's say I start with a simple random sample of 100 residents and calculate the sample mean. How would the sampling distribution of change if I increase the sample size to 1,000 residents?
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