You wish to test the following claim (H) at a significance level of a = 0.10. Ho: P₁ = P2 Ha: P1 P2 You obtain a sample from the first population with 126 successes and 448 failures. You obtain a sample from the second population with 103 successes and 242 failures. a) What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = b) What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = c) The p-value is... O less than (or equal to) a Ogreater than a d) This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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You wish to test the following claim (H) at a significance level of a = 0.10.
Ho: P₁
Ha: P1
P2
P2
You obtain a sample from the first population with 126 successes and 448 failures. You obtain a
sample from the second population with 103 successes and 242 failures.
a) What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
b) What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
c) The p-value is...
O less than (or equal to) a
O greater than a
d) This test statistic leads to a decision to...
O reject the null
O accept the null
O fail to reject the null
Transcribed Image Text:You wish to test the following claim (H) at a significance level of a = 0.10. Ho: P₁ Ha: P1 P2 P2 You obtain a sample from the first population with 126 successes and 448 failures. You obtain a sample from the second population with 103 successes and 242 failures. a) What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = b) What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = c) The p-value is... O less than (or equal to) a O greater than a d) This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null
e) As such, the final conclusion is that...
O There is sufficient evidence to warrant rejection of the claim that the first population
proportion is not equal to the second population proprtion.
O There is not sufficient evidence to warrant rejection of the claim that the first population
proportion is not equal to the second population proprtion.
O The sample data support the claim that the first population proportion is not equal to the
second population proprtion.
O There is not sufficient sample evidence to support the claim that the first population
proportion is not equal to the second population proprtion.
Transcribed Image Text:e) As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. O There is not sufficient evidence to warrant rejection of the claim that the first population proportion is not equal to the second population proprtion. O The sample data support the claim that the first population proportion is not equal to the second population proprtion. O There is not sufficient sample evidence to support the claim that the first population proportion is not equal to the second population proprtion.
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