You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002. Ho:p1=p2Ho:p1=p2 Ha:p1>p2Ha:p1>p2 You obtain a sample from the first population with 225 successes and 65 failures. You obtain a sample from the second population with 459 successes and 215 failures. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.
7)
You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.
Ho:p1=p2Ho:p1=p2
Ha:p1>p2Ha:p1>p2
You obtain a sample from the first population with 225 successes and 65 failures. You obtain a sample from the second population with 459 successes and 215 failures. For this test, you should NOT use the continuity correction, and you should use the
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... (pick one)
- less than (or equal to) αα
- greater than αα
This test statistic leads to a decision to... (pick one)
- reject the null
- accept the null
- fail to reject the null
As such, the final conclusion is that... (pick one)
- There is sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion.
- There is not sufficient evidence to warrant rejection of the claim that the first population proportion is greater than the second population proportion.
- The sample data support the claim that the first population proportion is greater than the second population proportion.
- 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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