A political poll is taken to determine the fraction p of the population thatwould support a referendum requiring all citizens to be fluent in the language of probabilityand statistics.(a) Assume p = 0.5. Use the central limit theorem to estimate the probability that in apoll of 25 people, at least 14 people support the referendum.Your answer to this problem should be a decimal.(b) With p unknown and n the number of random people polled, let Xn be the fractionof the polled people who support the referendum.What is the smallest sample size n in order to have a 90% confidence that Xn is within0.01 of the true value of p?Your answer to this problem should be an integer.

Answered: Image /qna-images/answer/d68b966e-0756-43b7-94bc-ea64347f3fa8.jpg

Answered: A political poll is taken to determine…

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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A shipment of 5 television sets contains 2 defective sets. A hotel makes a random purchase of 2 of the sets. If x is the number of defective sets purchased by the hotel, find the probability distribution of X. Express the results graphically as a probability histogram. Find the probability distribution of X. 1 0 2 X f(x) (Type integers or simplified fractions.)
A humane society claims that less than 61% of households in a certain country own a pet. In a random sample of 700 households in that country, 399 say they own a pet. At a= 0.05, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state H, and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. The percentage households in the country' that own a pet is not %. O B. Less than % of households in the country own a pet. O C. More than % of households in the country own a pet. O D. % of hoúseholds in the country own a pet.
(a) Find the probability of randomly selecting a household that has one or two televisions. The probability is 0.42'. (Type an integer or a decimal. Do not round.) (b) Find the probability of randomly selecting a household that has two or more televisions. The probability is 0.82". (Type an integer or a decimal. Do not round.) (c) Find the probability of randomly selecting a household that has between one and three televisions, inclusive. The probability is 0.97'. (Type an integer or a decimal. Do not round.) (d) Find the probability of randomly selecting a household that has at most two televisions.
A food company is planning to market a new kind of cereal; however before, they want to find the % of people who will like it. They select a random sample of 500 people and ask them to try the cereal. Of 500, 290 people say they like it. Compute the 95% cofidence interval for the % of the pop. that will like the cereal. Interept this cofidence interval.
Sean thinks that he has a special relationship with the number 6. In particular, Sean thinks that he would roll a 6 with a fair 6-sided die more often than you'd expect by chance alone. Suppose pis the true proportion of the time Sean will roll a 6. (a) State the null and alternative hypotheses for testing Sean's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "", "-", "not =" and express any values as a fraction e.g. p = 1/3) Ho= Ha (b) Now suppose Sean makes n = 30 rolls, and a 6 comes up 6 times out of the 30 rolls. Determine the P-value of the test, giving your answer to 4 decimal places. Please use 3 decimal places in your test statistic when finding the P-value. P-value = ⠀⠀ (c) Answer the question: Does this sample provide evidence at the 5 percent level that Sean rolls a 6 more often than you'd expect? (Type: Yes or No) 4
Matt thinks that he has a special relationship with the number 2. In particular, Matt thinks that he would roll a 2 with a fair 6-sided die more often than you'd expect by chance alone. Suppose p is the true proportion of the time Matt will roll a 2. (a) State the null and alternative hypotheses for testing Matt's claim. (Type the symbol "p" for the population proportion, whichever symbols you need of "", "=", "not =" and express any values as a fraction e.g. p = 1/3) Ho p= 1/6 = Ha= p > 1/6 (b) Now suppose Matt makes n = 34 rolls, and a 2 comes up 7 times out of the 34 rolls. Determine the P-value of the test: P-value = | (c) Answer the question: Does this sample provide evidence at the 5 percent level that Matt rolls a 2 more often than you'd expect? (Type: Yes or No) no
A farmer only grows apple and orange trees in his orchard. 40% of his trees are apple trees. He is concerned that a parasite may be infecting his trees. The probability of the parasite infecting a given apple tree is 5% and the probability of the parasite infecting a given orange tree is 3%. Please give your answers to 3 decimal places, for example 0.305. a) What proportion of his trees are infected by the parasite? Your answer is 1 b) If a given tree is not infected, what is the probability that this tree was an apple tree? Your answer is
A humane society claims that less than 62% of households in a certain country own a pet. In a random sample of 500 households in that country, 290 say they own a pet. At a = 0.05, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state Ho and H Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. Less than % of households in the country own a pet. O B. % of households in the country own a pet. O C. The percentage households in the country that own a pet is not %. O D. More than % of households in the country own a pet. Let p be the population proportion of successes, where a success is a household in the country that owns a pet. State Ho and H.. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) CO A. Hnipz O B. Hnip= OC.…
Chris has just received test results from a patient named Cardi who is infected with a mystery disease. The accuracy of the test is as follows:The probability the test will be positive if Cardi is infected is p, and the probability the test will be positive if Cardi is not infected is q. The proportion of the population that is infected is π. The test comes back positive. Chris has no information about the disease and related symptoms. Suppose Chris does not have a true gasp of the base rates. Chris thinks that the base rate is γπ (gamma*pi), with γ is less than or equal to π. This is to make sure that Chris's belief about the prevalance of the mystery disease is no more than 100%. If p=0.95, 1=0.05, π=1, what must be the value of γ if Chris thinks that the probability Cardi has the disease is 0.9? A. 3.57 B. 0.5 C. 1.05 D. 3.214 Please provide explanation
Find the probability P(Ec) if P(E)=0.17.
A certain disease has an incidence rate of 0.2%. The false negative rate is 8%, and the false positive rate is 3%. Calculate the probability that a person who tests positive actually has the disease. 0.0848 Note: The incidence rate is the probability that a random person gets the disease. The false negative rate is the probability of getting a negative result given that the person has the disease. The false positive rate is the probability of getting a positive result given that the person does not have the disease.
Solve a,b

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