The Thneedville governing cabal wants to distribute stimulus packets to needy Thneed households. A Thneed household is needy if they own fewer than 31 marbles. The most recent NTS (Needy Thneed Service) data indicates that 41% of all Thneed households are needy. On the other hand, that data is more than 2 years old, and Frederick Thneed Jr. suspects that the current percentage of needy Thneed households is lower than 41%, and they decide to perform a significance test to justify their belief. The hypotheses for this test are H0: Population % = 41%; HA: Population % #41%. Frederick surveys a simple random sample of n=100 households, and finds that 35 of them are needy. The z-score for this test is [Select] The p-value for this test is [Select]

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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The Thneedville governing cabal wants to distribute
stimulus packets to needy Thneed households. A Thneed
household is needy if they own fewer than 31 marbles.
The most recent NTS (Needy Thneed Service) data indicates
that 41% of all Thneed households are needy. On the other
hand, that data is more than 2 years old, and Frederick
Thneed Jr. suspects that the current percentage of needy
Thneed households is lower than 41%, and they decide to
perform a significance test to justify their belief.
The hypotheses for this test are H0: Population % =
41%; HA: Population % #41%.
Frederick surveys a simple random sample of n=100
households, and finds that 35 of them are needy.
The z-score for this test is [Select]
The p-value for this test is [Select]
Transcribed Image Text:The Thneedville governing cabal wants to distribute stimulus packets to needy Thneed households. A Thneed household is needy if they own fewer than 31 marbles. The most recent NTS (Needy Thneed Service) data indicates that 41% of all Thneed households are needy. On the other hand, that data is more than 2 years old, and Frederick Thneed Jr. suspects that the current percentage of needy Thneed households is lower than 41%, and they decide to perform a significance test to justify their belief. The hypotheses for this test are H0: Population % = 41%; HA: Population % #41%. Frederick surveys a simple random sample of n=100 households, and finds that 35 of them are needy. The z-score for this test is [Select] The p-value for this test is [Select]
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