A group of researchers is interested in middle school students and their willingness to appear to stand out. A random sample of 380 middle school students is gathered, and the researchers ask them to wear bright orange shoes to school for a day. In the sample of 380 students, 295 were willing to wear the bright orange shoes. Estimate the overall proportion of middle school students that would be willing to wear bright orange shoes to school for the day.  Use a 95% confidence level.  All answers to 4 decimal places please. a) Find p̂    b) Find the confidence interval:    < p <   c)  Interpret the 95% confidence interval in context?

Q: A recent study of high school students shows the percentage of females and males who have at LEAST…

A: The (1-α)% confidence interval for the difference in population proportions p1-p2 is given by;…

Q: In a recent poll, 300 people were asked if they liked dogs, and 54% said they did. Find the Margin…

A: Obtain the margin of error for the poll at the 95% confidence level. The margin of error for the…

Q: I've asked 91 students on Monday whether they did their homework over the weekend. 20 of them said…

A:

Q: In a recent poll, 420 people were asked if they liked dogs, and 9% said they did. Find the Margin of…

A: Given: Sample size=n=420,Number of people who liked dogs:x=420×9100=37.8≈38,Significance…

Q: Many high school students take the AP tests in different subject areas. In one year, of the 144,140…

A: given data  n1 = 144140   x1 = 84545p^1 = x1n1 = 84545144140 = 0.5865 n2 = 216298    x2 = 126501p^2…

Q: In a recent poll, 410 people were asked if they liked dogs, and 85% said they did. Find the margin…

A: Given that, p^=0.85n=410 Critical value: By using the z-tables, the critical value at 1% level of…

Q: In a recent poll, 470 people were asked if they liked dogs, and 94% said they did. Find the Margin…

A:

Q: When 460 junior college students were surveyed, 100 said they have a passport. Construct a 95%…

A: Given that there are 460 junior college students and 100 said they have a passport. That is, n=460…

Q: í 600 people sampled, 348 had kids.

A: Given that  Sample size (n) = 600 Had kids (X) = 348   We know that  Best point estimate (p)= xn…

Q: In a recent poll, 370 people were asked if they liked dogs, and 69% said they did. Find the Margin…

A:

Q: In a recent poll, 260 people were asked if they liked dogs, and 9% said they did. Find the margin of…

A:

Q: A survey of 700 non-fatal accidents showed that 167 involved uninsured drivers. Construct a 99%…

A: Given data,n=700x=167Point estimate isp=xn=167700=0.2386Construct a 99% confidence interval?

Q: Kim wants to determine a 99% confidence interval for the proportion of high school students in a…

A: We have given that,  Population proportion (p) = 0.53, margin of error (E) = 0.03 and confidence…

Q: Having good relationships with coworkers is an important part of overall job satisfaction. A poll…

A: Given, The 95% confidence interval for the population proportion , p is (0.4872,0.5528)

Q: In a recent poll, 270 people were asked if they liked dogs, and 15% said they did. Find the Margin…

A: given data sample size (n) = 270p^ = 0.1595% ci p, E = ?

Q: those polled answered the economy. Construct a 93% confidence interval for the proportion of voters…

A: It is given that, the sample size, i..e, the sampled no. of voters, .The no. of voters, who answered…

Q: n a recent poll, 510 people were asked if they liked dogs, and 45% said they did. Find the Margin of…

A: Given Data Sample Size, n = 510 p̂= 0.45 Significance level, α =1-0.99…

Q: Compute a 98% confidence interval for the true percent of students who are against the new…

A: Given: n=521 Confidence level=98%

Q: A survey of 26 individuals found that they spent an average of $39.21 on exercise attire for the…

A: Confidence interval is an inference process which is used to estimate the population parameter. The…

Q: Many high school students take the AP tests in different subject areas. In one year, of the 144,241…

A: given data  n1 = 144241   x1 = 84000p^1 = x1n1 = 84000144241 = 0.5824 n2 = 211725    x2 = 122644 p^2…

Q: In a recent poll, 130 people were asked if they liked dogs, and 24% said they did. Find the margin…

A: Given, Total number of people = 130 Probability that a person likes a dog = 0.24 z value at 99%…

Q: In a recent poll, 310 people were asked if they liked dogs, and 40% said they did. Find the Margin…

A: Given data: n = 310p⏞ = 40100=0.40C.I = 99%      =0.99Then, calculate αα = 1-0.99   =0.01Now,…

Q: In a survey of 323 adults over 50, 60% said they were taking vitamin supplements. Find the margin of…

A:

Q: one with a 95% confidence level and the other with a 99.7% confidence level. Which interval is…

A: Confidence interval is probability, which refers that population parameter will fall within set of…

Q: BCD Travel wants to estimate the population proportion of adults who favor historical sites for…

A: p^ = 59% = 0.59Sample size = 24086% confidence level

Q: A random sample of n1 = 262 people who live in a city were selected and 117 identified as a "dog…

A: Reviewing information, n1=262 x1 : No. of identified dog person in a city=117 n2=108 x2 : No. of…

Q: In a recent poll, 260 people were asked if they liked dogs, and 80% said they did. Find the Margin…

A: Given:

Q: In a recent poll, 300 people were asked if they liked dogs, and 71% said they did. Find the Margin…

A:

Q: In a recent poll, 140 people were asked if they liked dogs, and 52% said they did. Find the Margin…

A: Given data, n=140 p=52%=0.52 z-value at 99% confidence is Zc=2.576   Margin of error(E)=?

Q: in a recent poll, 130 people were asked if they liked dogs, and 46% said they did. Find the Margin…

A: Introduction: The 100 (1 – α) % confidence interval for the population proportion, p is: Here, n is…

Q: A researcher asks 600 people if they received a flu vaccine, and 65% said they did. What is the 95%…

A: From the provided information Sample size (n) = 600 65% said they received a flu vaccine that is…

Q: t poll, 240 people were asked if they liked dogs, and 35% said they did. Find the Margin of Error…

A: Given: n = 240 p^=35%=0.35 The value of z at 95% confidence level is 1.96, which can be obtained by…

Q: Jane wants to estimate the proportion of students on her campus who eat cauliflower. After surveying…

A: The answer is attached below,

Q: The national average for the percentage of high school graduates taking the SAT is 49%, but the…

A:

Q: A researcher wants to estimate the actual proportion of citizens of a certain country who feel that…

A:

Q: In a recent poll, 289 people were asked if they liked dogs, and 17% said they did. Find the margin…

A: Let X be the number of people who liked dogs Given: Number of people or sample size (n) = 289…

Q: A survey showed that 20.2% of the children that participated in the survey like flavor O If the…

A:

Q: 4. A researcher asks 600 people if they received a flu vaccine, and 65% said they did. What is the…

A:

Q: A firm randomly samples 100 workers at its New York plant and finds that 32% of the workers say that…

A: The proportion of workers who say that they buy the firm’s product is 0.32.

Q: A national survey of 2000 adult citizens of a nation found that 23% dreaded Valentine's Day. The…

A:

Q: A magazine provided results from a poll of 1000 adults who were asked to identify their favorite…

A: Given Information :  A magazine provided results from a poll of 1000 adults who were asked to…

Q: An ice cream shop wants to know how many customers enjoy their newest flavor. 200 randomly selected…

A:

Q: In a recent poll, 360 people were asked if they liked dogs, and 55% said they did. Find the Margin…

A: It is given that Sample size n = 360 Sample prpoprotion = 0.55 The critical value of Z at 99%…

Q: a magazine provided results from a poll of 2000 adults who were asked to identify their favorite…

A: Given Information: A magazine provided results from a poll of 2000 adults who were asked to identify…

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.