A researcher believes that 8% of pet dogs in Europe are Labradors.If the researcher is right, what is the probability that the proportion of Labradors in a sample of 502 pet dogs would differ from the population proportion by greater than 3%? Round your answer to four decimal places.---The interface provides an input box labeled "Answer" for entering a response. There are also options for "Tables" and a "Keypad" for additional input support, with a note on "Keyboard Shortcuts."At the bottom of the page, options are available to "Skip," "Try Similar," and "Submit Answer." The footer notes "© 2020 Hawkes Learning."

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Description: A researcher believes that 8% of pet dogs in Europe are Labradors.If the researcher is right, what is the probability that the proportion of Labradors in a sample of 502 pet dogs would differ from the population proportion by greater than 3%? Round

Let, n denote the sample size P denote the population proportion P0 denote some hypothesized value of P p denote the sample proportion The null hypothesis is H0:P=P0. Under H0, p follows a normal distribution with mean=P0 and variance=P0(1-P0)n.Thus, p-P0P0(1-P0)n follows a standard normal distribution.Here, n=502 P0=8%=0.08 We have to find Pp-0.08>0.03=1-Pp-0.08≤0.03=1-Pp-0.080.08(1-0.08)502≤0.030.08(1-0.08)502=1-Pz≤2.4776=1-P-2.4776≤z≤2.4776=1-Pz≤2.4776-Pz≤-2.4776=1-Pz≤2.4776-1-Pz≤2.4776=1-2Pz≤2.4776-1=2-2Pz≤2.4776=21-Pz≤2.4776=21-0.993=2(0.007)=0.014 Thus, the probability that the proportion of Labradors in a sample of 502 pet dogs would differ from the population proportion by greater than 3% is 0.014.

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A researcher believes that 8 % of pet dogs in Europe are Labradors. If the researcher is right, what is the probability that the proportion of Labradors in a sample of 502 pet dogs would differ from the population proportion by greater than 3 % ? Round your answer to four decimal places. Answer 曲 Tables Keypad How to enter your answer Keyboard Shortcuts

A researcher believes that 8 % of pet dogs in Europe are Labradors. If the researcher is right, what is the probability that the proportion of Labradors in a sample of 502 pet dogs would differ from the population proportion by greater than 3 % ? Round your answer to four decimal places. Answer 曲 Tables Keypad How to enter your answer Keyboard Shortcuts

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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