Answer:
Null Hypothesis,
: p
45%
Alternate Hypothesis,
: p < 45%
Explanation:
We are given that the proportion of women in similar sales positions across the country in 2004 is less than 45%.
The collected random sample of size 50 showed that only 18 were women.
Let p = proportion of women in similar sales positions across the country in 2004
So, Null Hypothesis,
: p
45%
Alternate Hypothesis,
: p < 45%
Here, null hypothesis states that the proportion of women in similar sales positions across the country in 2004 is more than or equal to 45%.
On the other hand, alternate hypothesis states that the proportion of women in similar sales positions across the country in 2004 is less than 45%.
The test statistics that would be used here is One-sample z proportion test statistics, i.e;
T.S. =
~ N(0,1)
Hence, the above hypothesis is appropriate for the given situation.