A sample of 50 potential customers was asked to use your new product and the product of the leading competitor. After one week, they were asked to indicate which product they preferred. In the sample, 30 potential customers said that they preferred your product. (a) Find the sample proportion.  (b) Find the 95% confidence interval for the proportion of potential customers who prefer your product.  (c) If you want the 95% maximum likely error to be 0.08 or less, what would you choose for sample size?  Explain how you calculated your answer and show your work.

Q: . A phase three clinical trial for a new medication proposed to treat depression has 1237…

A:

Q: From a random sample of 40 students, a 90% confidence interval for the mean weekly allowance is…

A:

Q: Males and females were asked what they would do if they received a $100 bill in the mail that was…

A: For Males : The sample size , N1=70N_1 = 70 Those who said Yes ,  X1=55X_1 = 55X1​=55:…

Q: A recent study was conducted in which a random sample of men and a random sample of women were…

A: Given:  Confidence Interval = (0.133,0.207) = (13.3%, 20.7%)

Q: In a random sample of 100 voters in a school district, 40 of them stated they were in favor of the…

A: Solution: Let X be the number of voters stated they were in favor of the school district bond…

Q: A principal of a large high school wants to estimate the true proportion of high school students who…

A: Given information- Sample size, n = 50 For a random sample of 50 students, the 95% confidence…

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: The formula for the sample size is as follows: Here, zα/2 is the critical value at 99% confidence…

Q: calculate a 95% confidence interval for the mean profit per customer that SoftBus can expect to…

A: Given : n=3 , ƩX=13500 , ƩX2=61250000 Now ,  The sample size is , n=3 The sample mean is ,…

Q: If, based on a sample size of 850​, a political candidate finds that 479 people would vote for him…

A: Given that  n=850 , X=479 Find 95​% confidence interval for his expected proportion of the​ vote?

Q: A students wants to estimate the proportion of professors who drive pickup trucks. She surveys 250…

A: Confidence interval is an inference process which gives the range of plausible values of population…

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, 290 people were asked if they liked dogs, and 40% said they did. Find the Margin…

A:

Q: In a random sample of 810 medical professionals, 81 prefers to work in the evening shift.  The width…

A: Given,n=810x=81p^=xnp^=81810=0.11-p^=1-0.1=0.9α=1-0.95=0.05α2=0.025Z0.025=1.96

Q: The 95% confidence interval for the population proportion of yes responses is (0.55, 0.71) for…

A: From the provided information, The 95% confidence interval for the population proportion of yes…

Q: A large trucking company wants to estimate the proportion of its trailer truck population with…

A: Solution: From the given information, n=200, p-hat is 0.30 and the confidence level is 0.90.

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: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: It is given that the confidence level is 0.90 and margin of error (E) is 0.01.

Q: Julia wonders if people living in the eastern part of her country are more likely to respond…

A: Given  n1=100 , X1=80 , n2=100 , X2=60 Zc=1.96, at alpha=0.05 Find 95% confidence interval

Q: Thirteen out of 147 randomly selected faculty members who were surveyed at a community college…

A:

Q: A principal of a large high school wants to estimate the true proportion of high school students who…

A: Given that  Sample size n =50 95 % confidence interval.  (0.25 , 0.34 )

Q: A magazine provided results from a poll of 1500 adults who were asked to identify their favorite…

A: As we know confidence interval interpreted that we are that percent confident that it will contain…

Q: A magazine provided results from a poll of 1500 adults who were asked to identify their favorite…

A: It is given that the confidence levels are 0.80 and 0.99.

Q: For many years businesses have struggled with the rising cost of health care. But recently, the…

A: Given p = 0.52 n = 400 X ~ B(n, p) P(X=x) = Cxn px(1-p)n-x;   x=0,1,2....n…

Q: raw score that is 1.96 blank above the sample mean

A:

Q: A survey reported in Time magazine included the question "Do you favor a federal law requiring a 15…

A:

Q: In this part of the question, you should calculate the required confidence interval by hand, using…

A:

Q: In a recent poll, 480 people were asked if they liked dogs, and 48% said they did. Find the Margin…

A: Solution: From the given information, p-hat=0.48 and n=480. The confidence level is 0.90.

Q: One researcher finds a 95% confidence interval for a prevalence of heart disease in a population as…

A: We have given that  95% confidence interval is  26.2 percent with margin of error 4.2 percent    90%…

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: Solution: From the given information, confidence level is 0.90 and E=0.06.

Q: A large trucking company wants to estimate the proportion of its tracker truck population with…

A:

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: Given:Margin of error (E) = 0.09Confidence level = 90%Since, the proportion of people that support…

Q: The pizza Shop wanted to determine what proportion of its customers ordered an only cheese pizza.…

A:

Q: Calculate a 95% confidence interval for the proportion of clients that would recommend the company

A: Concept: The sample proportion of the sample of size n can be defined as:  Here, X = Total number…

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: Given that, If the prior information is unknown, assume that the sample proportion is, p^=0.50…

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: Find z-critical value:…

Q: A magazine provided results from a poll of 1500 adults who were asked to identify their favorite…

A: A magazine provided results from a poll of 1500 adults who were asked to identify their favorite…

Q: How can a confidence interval be used to test a hypothesis?

A: How can a confidence interval be used to test a hypothesis?

Q: a random sample of 63, the proportion of the sample with a certain characteristic was 0.61. What is…

A:

Q: A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie.…

A: From the provided information, Sample size (n) = 500 Sample proportion (p̂) = 0.11

Q: previous election, the confidence interval for the proportion of likely voters who would vote for…

A:

Q: In a simple random sample of 1200 Americans age 20 and over, 138 of them were found to have Type I…

A: In a simple random sample of 1200 Americans age 20 and over, 138 of them were found to have Type I…

Q: A magazine provided results from a poll of 500 adults who were asked to identify their favorite…

A: It is given that the sample size is 500.

Q: After receiving complaints from his customers about the store being closed on Sundays, a storekeeper…

A:

Q: Astudent polls his school to see if students in the school district are for or against the new…

A: We have given that  Sample size N=600 and favorable cases X=480 Sample proportion p^=X/N

Q: A television sports commentator wants to estimate the proportion of citizens who follow professional…

A: Given that Critical value: Using the z-table, the critical value at 96% confidence level is

Q: In a recent poll, 570 people were asked if they liked dogs, and 14% said they did. Find the margin…

A: From the Standard Normal Table, the z value for 95% level is 1.96.

Q: In a recent poll, 240 people were asked if they liked dogs, and 47% said they did. Find the margin…

A: Obtain the margin of error at the 90% confidence level. The margin of error at the 90% confidence…

Q: Flagstaff found 470 NAU students who drink coffee daily. Find a 95% confidence interval for the true…

A: Given

Q: A political candidate has asked you to conduct a poll to determine what percentage of people support…

A: Given dataError = 2.5% = 0.025Confidence level = 0.995Significance level = α=1-0.995=0.005

Q: The Pizza Shop wanted to determine what proportion of its customers ordered an only cheese pizza.…

A:

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.