You wish to test the following claim (H) at a significance level of a = 0.01, Ho: P₁ Ha: P1 P2 P2 You obtain 202 successes in a sample of size n₁ = 524 from the first population. You obtain 108 successes in a sample of size n2 = 338 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a Ogreater than a 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
Section10.6: Summarizing Categorical Data
Problem 30PPS
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You wish to test the following claim (H) at a significance level of a = 0.01,
Ho: P1
Ha: P1
P2
P2
You obtain 202 successes in a sample of size n₁ = 524 from the first population. You obtain 108
successes in a sample of size n2 = 338 from the second population.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
The p-value is...
O less than (or equal to) a
O greater than a
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 = 0.01, Ho: P1 Ha: P1 P2 P2 You obtain 202 successes in a sample of size n₁ = 524 from the first population. You obtain 108 successes in a sample of size n2 = 338 from the second population. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null
As such, the final conclusion is that...
O There is sufficient evidence to warrant rejection of the claim that the first population
proportion is greater than the second population proportion.
O There is not sufficient evidence to warrant rejection of the claim that the first population
proportion is greater than the second population proportion.
O The sample data support the claim that the first population proportion is greater than the
second population proportion.
O There is not sufficient sample evidence to support the claim that the first population
proportion is greater than the second population proportion.
Transcribed Image Text:As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. O There is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion. O The sample data support the claim that the first population proportion is greater than the second population proportion. O There is not sufficient sample evidence to support the claim that the first population proportion is greater than the second population proportion.
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