A tech company purchases memory cards from a supplier. The failure rate of these cards (measured in theproportion of cards that stop functioning within the first year of use) is p-0.026.A new supplier suggest that their cards have a lower failure rate. To test their claim, the company purchases500 memory cards, and finds that ten fail within the first year.Use this data to perform the appropriate hypothesis test at a-0.01. Clearly show all five steps as in elass, aswell as all relevant calculations and assumptions (if any). Finally, state the P-value of this test.

Given: p 0.026 x 10 n 500 α 0.01

Answered: A tech company purchases memory cards…

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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Molly works for a meat producer, and she needs to determine whether containers of ground beef have the correct fat content. She obtains a random sample of 120 containers of ground beef and finds that 84 percent have the correct fat content. Molly then conducts a hypothesis test of H0:p=0.80H0:p=0.80 versus Ha:p≠0.80Ha:p≠0.80 and calculates a test statistic of 1.10 with a pp-value of 0.273. Which of the following best represents the meaning of the pp-value? If the population proportion is 0.84, the probability of observing a sample proportion of 0.80 is 0.273. A If the population proportion is 0.84, the probability of observing a sample proportion of at least 0.04 less than 0.84 is 0.273. B If the population proportion is 0.80, the probability of observing a sample proportion within 0.04 of 0.80 is 0.273. C If the population proportion is 0.80, the probability of observing a sample proportion at least 0.04 greater than 0.80 is 0.273. D If the…
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