Pete is a politician. He claims that 34% of the households in his district have total household incomes below the poverty level. His opponent, Opal, wants to test this claim. Opal uses p to represent the proportion of households in the district with incomes pelow the poverty level. She formulates the null hypothesis, Ho : p = 0.34, and an alternative, Ha :p + 0.34, to reflect her suspicion that Pete is wrong. Opal obtains a simple random sample of 250 households and finds that 86 of them have incomes below the poverty level. Her summary statistics are displayed in the table. Sample size Sample count Sample proportion Standard error One-sample z-statistic SE 250 86 0.3440 0.0300 0.1335 What is the P-value of this test? (Round to 4 decimal places)
Pete is a politician. He claims that 34% of the households in his district have total household incomes below the poverty level. His opponent, Opal, wants to test this claim. Opal uses p to represent the proportion of households in the district with incomes pelow the poverty level. She formulates the null hypothesis, Ho : p = 0.34, and an alternative, Ha :p + 0.34, to reflect her suspicion that Pete is wrong. Opal obtains a simple random sample of 250 households and finds that 86 of them have incomes below the poverty level. Her summary statistics are displayed in the table. Sample size Sample count Sample proportion Standard error One-sample z-statistic SE 250 86 0.3440 0.0300 0.1335 What is the P-value of this test? (Round to 4 decimal places)
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 1CA
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Question
Transcribed Image Text:Pete is a politician. He claims that 34% of the households in his district have total household incomes below the poverty level.
His opponent, Opal, wants to test this claim. Opal uses p to represent the proportion of households in the district with incomes
pelow the poverty level. She formulates the null hypothesis, Ho : p = 0.34, and an alternative, Ha : p + 0.34, to reflect her
suspicion that Pete is wrong.
Opal obtains a simple random sample of 250 households and finds that 86 of them have incomes below the poverty level. Her
summary statistics are displayed in the table.
Sample size
Sample count
Sample proportion
Standard error
One-sample z-statistic
SE
250
86
0.3440
0.0300
0.1335
What is the P-value of this test?
(Round to 4 decimal places)
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