You wish to test the following claim (Ha) at a significance
level of α=0.05.
Ho:p1=p2
Ha:p1<p2
You obtain a sample from the first population with 61 successes and
612 failures. You obtain a sample from the second population with
78 successes and 575 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.
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...
This test statistic leads to a decision to...
As such, the final conclusion is that...
test statistic = -1.712
p-value = 0.0434
less than (or equal to) α
reject the null
The sample data support the claim that the first population proportion is less than the second population proportion.
p1 | p2 | pc | |
0.0906 | 0.1194 | 0.1048 | p (as decimal) |
61/673 | 78/653 | 139/1326 | p (as fraction) |
61. | 78. | 139. | X |
673 | 653 | 1326 | n |
-0.0288 | difference | ||
0. | hypothesized difference | ||
0.0168 | std. error | ||
-1.712 | z | ||
.0434 | p-value (one-tailed, lower) |
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