In a Leichtman Research Group survey of 900 TV households, 74.8% of them had at least one Internet-connected TVdevice (for example, Smart TV, standalone streaming device, connected video game console). A marketing executivewants to convey high penetration of Internet-connected TV devices, so he makes the claim that the percentage of allhomes with at least one Internet-connected TV device is equal to 82%. Test that claim using a 0.01 significance level.Use the P-value method. Use the normal distribution as an approximation to the binomial distribution.BRELet p denote the population proportion of all homes with at least one Internet-connected TV device. Identify the null andalternative hypotheses.Ho: PH₁-P(Type integers or decimals. Do not round.)Identify the test statistic.z=(Round to two decimal places as needed.)Identify the P-value.P-value= ¯(Round to three decimal places as needed.)Slate the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.* the null hypothesis. There✓ sufficient evidence topercentage of all homes with at least one Internet connected TV device is equal to 82%.the claim that the

Given that Sample size n=900 Sample proportion p^=0.748

Answered: tman Research Group survey of 900 TV…

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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In Europe, 53% of the flowers of the Rewardless Orchid, Dactylorhiza sambucina, are yellow, whereas the remaining flowers are purple. For this problem, only use the normal approximation where it is appropriate. Use the binomial distribution where the normal approximation is inappropriate. If we took a random sample of a single individual from this population, what is the probability, reported as a percent, that it would be purple? | Determine the probability, reported as a decimal rounded to two decimal places, that if we took a random sample of 6 flowers, at least 3 would be purple. If we took a random sample of 260 individuals, what is the probability, reported as a decimal rounded to four decimal places, that 150 or fewer of the orchids are purple?
A survey from Teenage Research Unlimited (Northbrook, Illinois) found that 5% of teenage consumers receive their spending money from part- time jobs. (Use binomial distribution)
A real estate company is interested in the ages of home buyers. They examined the ages of thousands of home buyers and found that the mean age was 43 years old, with a standard deviation of 10years. Suppose that these measures are valid for the population of all home buyers. Complete the following statements about the distribution of all ages of home buyers. (a) According to Chebyshev's theorem, at least _% ? (36%56%75%84%89% ) of the home buyers' ages lie between 23 years and 63 years. (b) According to Chebyshev's theorem, at least 36% of the home buyers' ages lie between _years? and _years.? (Round your answer to the nearest whole number.)
Manatees are one creature found in coastal waterways. 10 years ago, researchers concluded that the true mean weight of manatees was approximately 1050 lbs. This year, a random sample of 12 manatees were selected, the sample weights are: 956, 1012, 954, 988, 973, 1048, 1075, 1064, 856, 1026, 1031, 1064. Assume the underlying distribution of manatee weights is normal, and population standard deviation o is unknown. Implement a hypothesis test to verify if there is any evidence to suggest the true mean weight decreases now. Solve the hypothesis using P-value method. Let a = 0.05. . Use the given sample data to calculate 90% confidence interval for true mean weight of manatees.
The number of flaws in a certain type of lumber has a Poisson distribution with a rate of 0.5 per meter of length. What is the standard deviation of the number of flaws in a board 5 meters in length? Record your answer to two decimal accuracy without any units (like 1.53).
The number of clients arriving at a bank machine is Poisson distributed with an average of 2 per minute. For a 5-minute period, Find the expected value and standard deviation. What is the probability that 2 customers will arrive in a 5-minute period? What is the probability that no more than 2 customers will arrive in a 5-minute period? What are the underlying assumptions that allow us to consider this phenomenon as a Poisson distribution?
The heights of the 430 Candidates for the Elite Military Unit have an approximate normal distribution with mean, μ = 79 inches and a standarddeviation, σ = 3.89 inches. For the height of 77 inches , calculate the z-score and interpret it using a complete sentence.
In a large city, researchers selected a random sample of 120 individuals who have multiple televisions in their house connected to a streaming device. Each individual was asked how many hours of streaming content they watch in a typical week. The sample had a mean of 12.5 hours. For which of the following populations is 12.5 hours a reasonable estimate of the mean hours of weekly streaming content watched? (A) All individuals who regularly watch streaming content (B) All individuals from this city who regularly watch streaming content (C) All individuals from this city with multiple streaming devices in their house (D) All individuals from this city with multiple streaming devices in their house who regularly watch streaming content (E) All 120 individuals in this city with multiple streaming devices in their home who regularly watch streaming content
Suppose the mean retail price oer gallon of regular gasoline int the United States is $3.42 with a standard eviation of $0.40 and the retail price per gallon has a normal bell shaped distribution. Use the Empirical Rule to answer the following quesitona. What percentage of regular gasoline sold between $2.62 and $3.82 per gallon? what percentage of regualr gasoline sold for more the $3.82 per gallon?
A fast-food franchise, looking to reduce wait times for customers, launched a pilot program where customers could use a smartphone app to place orders. The mean wait times (in seconds) for in-store and drive-through customers at 10 stores participating in the pilot program and at 10 stores not in the program are recorded. Assume that the population standard deviation of mean wait times is 30 seconds for both groups of stores and that the mean wait times are normally distributed for both groups of stores. Let the mean wait times of the stores not in the program be the first sample, and let the mean wait times of the stores in the program be the second sample. The franchise conducts a two-mean hypothesis test at the 0.05 level of significance, to test if there is evidence that the smartphone app reduces wait times. (a) H0:μ1=μ2; Ha:μ1>μ2, which is a right-tailed test. Mean Wait Time: Not In Program Mean Wait Time: In Program 275 176 284 218 307 261 290 252 351 238…
The shelf life of a photographic film is of interest to the manufacturer, whoobserves the following shelf life for eight units chosen at random from the currentproduction. Assume that shelf life is normally distributed – 108, 134, 124, 116, 128, 163, 159, 134 days. Is there any evidence that the mean shelf life is greater than to 125 days.
The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.08 flaw per square foot of plastic panel. Assume an automobile interior contains 10 square feet of plastic panel. If 10 cars are sold to a rental company, what is the probability that at most one car has any surface flaws? Express your answer with 4 significant figures.

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