You wish to test the following claim (Ha) at a significance level of a = 0.05.

MATLAB: An Introduction with Applications
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You wish to test the following claim (Ha) at a significance level of a = 0.05.
H.:P1 = P2
Ha:P1 < P2
You obtain 45.2% successes in a sample of size ny = 239 from the first population. You obtain 54%
successes in a sample of size n2 = 766 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
less than the second population proportion.
O There is not sufficient evidence to warrant rejection of the claim that the first population proportion
is less than the second population proportion.
O The sample data support the claim that the first population proportion is less than the second
population proportion.
O There is not sufficient sample evidence to support the claim that the first population proportion is
less than the second population proportion.
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.05. H.:P1 = P2 Ha:P1 < P2 You obtain 45.2% successes in a sample of size ny = 239 from the first population. You obtain 54% successes in a sample of size n2 = 766 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 less than the second population proportion. O There is not sufficient evidence to warrant rejection of the claim that the first population proportion is less than the second population proportion. O The sample data support the claim that the first population proportion is less than the second population proportion. O There is not sufficient sample evidence to support the claim that the first population proportion is less than the second population proportion.
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