In: Statistics and Probability
LBW
No
Yes
total
Race
White
76
20
96
Black
14
12
26
Other
43
24...
LBW
|
|
|
|
No
|
Yes
|
total
|
Race
|
White
|
76
|
20
|
96
|
Black
|
14
|
12
|
26
|
Other
|
43
|
24
|
67
|
Referring again to the table above of LBW by Race, we want to
know if the proportion of LBW births to black women is
significantly different from the proportion of LBW births
to women of race “other”, based on an α=0.05 test.
- Is this question calling for a 2-sided test? (yes or no)
[a]
- What is the test statistic, based on the normal distribution
approximated standard error? [b]
(Report with 2 decimal places, such as
1.23. Hint: this is calculated according to slide 15 in
the lecture. Do not do heavy rounding your results until the last
calculation, e.g., leave at least 3 decimal places in your
intermittent calculations. )
- Does this Z-statistic indicate the two proportions are
significantly different from each other, based on no more than a 5%
chance of a type 1 error (alpha = 0.05)? (yes or no)
[c]