You are conducting a test of homogeneity for the claim that two different populations have the same proportions of the following two characteristics. Here is the sample data. Category Population 1 Population 2
A 11 35
B 43 42
What is the chi-square test-statistic for this data?
χ2=
What are the degrees of freedom for this test?
d. f.=
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
The p-value is...
less than (or equal to) α
greater than α
This test statistic leads to a decision to...
accept the alternative
accept the null
reject the null
fail to reject the null
As such, the final conclusion is that...
The sample data support the claim that two different populations have the same proportions of the following two characteristics.
There is sufficient evidence to warrant rejection of the claim that two different populations have the same proportions of the following two characteristics.
There is not sufficient evidence to warrant rejection of the claim that two different populations have the same proportions of the following two characteristics.
There is not sufficient sample evidence to support the claim that two different populations have the same proportions of the following two characteristics.
Report all answers accurate to three decimal places.