You wish to test the following claim (Ha) at a significance level of a = 0.02. Ho: P₁ = P2 Ha: P1 P2 You obtain 68.4% successes in a sample of size n₁ = 310 from the first population. You obtain 59.8% successes in a sample of size n2 = 438 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. 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 greater than a This test statistic leads to a decision to... O reject the null 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.
You wish to test the following claim (Ha) at a significance level of a = 0.02. Ho: P₁ = P2 Ha: P1 P2 You obtain 68.4% successes in a sample of size n₁ = 310 from the first population. You obtain 59.8% successes in a sample of size n2 = 438 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. 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 greater than a This test statistic leads to a decision to... O reject the null 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.02.
Ho: P1 P2
P2
Ha: P₁
=
You obtain 68.4% successes in a sample of size ₁ 310 from the first population. You obtain 59.8%
successes in a sample of size nz 438 from the second population. For this test, you should NOT use the
continuity correction, and you should use the normal distribution as an approximation for the binomial
distribution.
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.
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