The Department of Health and Human Services has been asked to estimate the proportion of “latch-key” children in New Jersey. The required interval width is 0.06 with a 95% level of confidence. The head of the Department's Family Division believes the proportion of “latch-key” children is 40% but prefers to use the most conservative estimate in estimating the appropriate sample size. a) What is the required margin of error? b) What is the numerical value of p for calculating the most conservative sample size? c) What sample size should be used to obtain a 95% Confidence Interval?

Q: A physical therapist wants to determine the difference in the proportion of men and women who…

A: (a) The proportions are 22.2% for males and 18.7% for females, The margin of error is 3%, and…

Q: calculate the standard error of the sampling distribution of the sample statistic

A: Let S.E denote Standard Error. Let sample mean be the sample statistic.

Q: (a) What is the level of significance?  (b) Find the value of the chi-square statistic for the…

A:

Q: 1. A dermatologist wishes to estimate the proportion of young adults who apply sunscreen regularly…

A: From the provided information, Margin of error = 0.03 Confidence level = 90%

Q: In order to estimate the population proportion with a high school education,  you need a minimum…

A: It is given that margin of error (E) is 0.07 and the confidence level is 0.95.Here,

Q: You wish to estimate, with a 99% confidence, the population proportion (p) of U.S adults who made…

A: Given information- Margin of error, E = 4.2% = 0.042 Confidence level, c = 99% a) Since no…

Q: You are running a political campaign and wish to estimate, with 95% confidence, the proportion of…

A: Formula for the sample size needed to estimate a population proportion is

Q: How large must the sample size be in order to estimate a true proportion to within one precentsge…

A: Solution: From the given information, confidence level is 0.90 and E=0.01.

Q: In a random sample of 74 homeowners in a city, 22 homeowners said they would support a ban on…

A: Given data, n=74 x=22 Point estimate p=?

Q: When comparing two sample proportions with a two-sided alternative hypothesis, all other factors…

A: Here, two sample proportion two sided test is being conducted. A smaller p value is found. The p…

Q: Obtain standard error of sample proportion p.

A: Standard error is the standard deviation of the sampling distribution of an estimator.

Q: How large must the sample size be in order to to estimate a true proportion to within one percentage…

A: Given that, Critical value: Using the z-table, the critical value at 90% confidence level…

Q: A physical therapist wants to determine the difference in the proportion of men and women who…

A: c = 95% E = 2% = 0.02 p^1=0.215p^2=0.195

Q: illustrates the effect of sample size on the power of a two-sample t test?

A: A test of hypothesis consists of 2 hypotheses: the null, H0, and the alternative, H1.   For a sample…

Q: A poll in Canada states that 67% of all respondents favor imposing the death penalty. The poll was…

A: Given that - A poll in Canada states that 67% of all respondents favor imposing the death penalty.…

Q: What sample size should you gather to achieve a 0.7 hour margin of error?

A: here given , population standard deviation  = 4.2 hour  confidence level = 99% MOE  = 0.7

Q: What sample size should be selected to estimate the proportion of out of state guests with a margin…

A: Margin of error, ME = 0.05 sample proportion, p̂ = 0.45 confidence level, c = 95 % = 0.95…

Q: A researcher wishes to​ estimate, with 95​% ​confidence, the population proportion of adults who…

A:

Q: For comparing two sample proportions, the parameters of the pooled estimate must be?    A. not equal…

A:

Q: Give an example of computing an appropriate sample size using the length of the interval.

A: Solution : Formula for computing sample size using the length of interval is, n = Zα2σd2 where , σ =…

Q: We are interested in conducting a study in order to determine what percentage of voters of a state…

A: The confidence level is 95%. Therefore, α = 0.05 and α/2=0.025. The margin of error is 5% =0.05…

Q: A researcher wishes to​ estimate, with 99​% ​confidence, the population proportion of motor vehicle…

A: The independent variable is motor vehicle fatalities that were caused by​alcohol-impaired driving.…

Q: A researcher wishes to estimate, with 90% confidence, the population proportion of motor vehicle…

A: Area on each tail for two-tail tests. Refer Standard normal table/Z-table OR use excel function…

Q: In a poll of 1000 randomly selected voters in a local election, 160 voters were in favor of fire…

A: Given,sample size (n)=1000no.of voters were in favor of fire department (x)=160α=1-0.99=0.01α2…

Q: The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that…

A: The provided information: Level of significance (L)=0.01 Sample size(n)=27 Intoxicated drive(X)=15…

Q: Twenty years ago, 57% of parents of children in high school felt it was a serious problem that high…

A: The single proportion  binomial test is used to compare a proportion of responses or values in a…

Q: Suppose you would like to estimate, with 97% confidence, the proportion of computers that need…

A: It is given that the level of confidence is 97% and desired margin of error E is 0.035.The formula…

Q: What must be true about the sampling method and the values of p, q, and n in order to construct a…

A: For constructing Confidence interval for proportion, following assumptions need to be care

Q: Please view the question in the photo and answer the following questions. TY! (A) What is the…

A: Given,margin of error (E)=0.02α=1-0.90=0.1α2=0.05Z0.05=1.645   (from Z-table)

Q: What is the target sample size for a population of 3,500 people with a standard value of 1.65 and a…

A: Solution-; Given: N=3500, Standard value (V)=1.65,sampleing error (Se)=0.10 We find the target…

Q: A physical therapist wants to determine the difference in the proportion of men and women who…

A: To estimate the male proportion P1 = 0.223 and female proportion P2 = 0.198 Margin of Error E = 0.02…

Q: Explain the effect on the margin of error and hence the effect on the accuracy of estimating a…

A: Effect on margin of error: If the sample size increases, then the standard error of statistic…

Q: The City of South Lake Tahoe, CA, has an Asian population of 1,419 people, out of a total population…

A: The null and alternative hypothesis for testing is defined as, H0 = The sub-groups of Asians in the…

Q: What is the best estimate for the standard error of the sampling

A: Given data,Tota no of students n=14795Who said yes for cyberbullied is x=2219Point estimate is…

Q: In a poll of 1000 randomly selected voters in a local election, 219 voters were against fire…

A:

Q: The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that…

A: Given information- Sample size, n = 31 Significance level, α = 0.01 Sample proportion- Hypothesis…

Q: When is it appropriate to use a pooled sample test?

A: It is to determine when there is to use pooled sample test. There are some situation in testing we…

Q: How large must the sample size be in order to estimate a true proportion to within one percentage…

A: It is given that margin of error (E) is 0.01 and the confidence level is 0.99.

Q: Does having a non-significant P-value means that the means of the sample will be the same? explain

A: The hypotheses for the means is constructed as: H0: The means of the sample will be the same. H1:…

Q: In a poll of 1000 randomly selected voters in a local election, 437 voters were in favor of fire…

A: Solution: Given information: n= 1000 Sample size of voters  x= 437 voters were in favor of fire…

Q: Use the margin of error of 5, confidence level of 98%, and o=30, find the minimum sample size…

A: We have given that,  Margin of error (E) = 5 At the 98% confidence level then  Significance level…

Q: The manager of a small supermarket chain wants to estimate the proportion of time stockclerks spend…

A: Assume that the population proportion is 0.5. It is known that the critical value for 98% confidence…

Q: To be tested, why does a hypothesis must specify a single number about which the hypothesized…

A: There are two types of hypotheses: one is the null hypothesis and the other is the alternative…

Q: We are interested in conducting a study in order to determine what percentage of voters of a state…

A:

Q: What is the sample size (n=) and what consequences will the sample size have on my analysis and…

A: Sample size: A sample size is a subset of the desired population. It is a part of the population. It…

Q: The greater the p-value for a two-sample test of population means, the greater the evidence that…

A: Standard Decision Rule in hypothesis testing: If the p value is greater than level of significance,…

Q: What is the standard error of the sample mean if your sample size is 36? Give your answer to 2…

A: It is given that  Population standard deviation, σ = 4.8 Sample mean, x̅ = 25.9 Sample standard…

Q: If you want to construct a 90% confident interval for a population mean such that it is within a…

A: The confidence interval for the mean is given by :    CI = x¯ ± zα2 ×σn x¯ : sample mean σ :…

Q: How large must the sample size be in order to to estimate a true proportion to within one percentage…

A:

Q: A researcher wishes to​ estimate, with 99​% ​confidence, the population proportion of motor vehicle…

A: Solution: a. From the given information, confidence level is 0.99 and E=0.05.

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.