Answered: Zenon decided to Investigate whether…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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Zenon decided to Investigate whether students at his school prefer name-brand potato chips to generic potato chips. He randomly selected 50 of the 400 students at his school and asked each student to try both types of chips. Zenon wants to perform a test of H0: P = 0.5 versus Ha: P > 0.5, where p = the true proportion of students at his school who prefer name-brand chips.

A. Can the observations In the sample be viewed as Independent? Justify your answer.

B. Is the sampling distribution of p approximately Normal? Explain your reasoning.

Transcribed Image Text:37. The chips project Zenon decided to investigate whether students at his school prefer name-brand potato chips to generic potato chips. He randomly selected 50 of the 400 students at his school and asked each student to try both types of chips, in a random order. Overall, 41 of the 50 students preferred the name-brand chips. Zenon wants to perform a test of Ho : p= 0.5 versus H. : p> 0.5, where p = the true proportion of students at his school who prefer name-brand chips. a. Can the observations in the sample be viewed as independent? Justify your answer. b. Is the sampling distribution of p approximately Normal? Explain your reasoning.

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