You wish to test the following claim (Ha) at a significancelevel of ?=0.02
Ho:p1=p2
Ha:p1>p2
You obtain 118 successes in a sample of size n1=249 from the firstpopulation. You obtain 76 successes in a sample of size n2=242 fromthe second population. For this test, you should NOT use thecontinuity correction, and you should use the normal distributionas an approximation for the binomial distribution.
What is the critical value for this test? (Report answer accurateto three decimal places.)
critical value =
What is the test statistic for this sample? (Report answer accurateto three decimal places.)
test statistic =
The test statistic is...
- in the critical region
- not in the critical region
This test statistic leads to a decision to...
- reject the null
- accept the null
- fail to reject the null
As such, the final conclusion is that...
- There is sufficient evidence to warrant rejection of the claimthat the first population proportion is greater than the secondpopulation proportion.
- There is not sufficient evidence to warrant rejection of theclaim that the first population proportion is greater than thesecond population proportion.
- The sample data support the claim that the first populationproportion is greater than the second population proportion.
- There is not sufficient sample evidence to support the claimthat the first population proportion is greater than the secondpopulation proportion.
Please show all work and use ti84