A rectangle has length x cm and width 2 cm less
2 answers:
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Solution :
Let A = Economics, B = Mathematics
n(A) = 311, n(B) = 243,
a). So,
= 311 + 243 - 135
= 419
b). n(A only) = 311 - 135
= 176
n(B only) = 243 - 135
= 108
Exactly one of these two courses
= 0.568
c). Neither economics nor mathematics
= 0.162
Answer:
Null Hypothesis, : p
45%
Alternate Hypothesis, : p < 45%
Step-by-step 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.
<u><em>Let p = proportion of women in similar sales positions across the country in 2004</em></u>
So, Null Hypothesis, : p
45%
Alternate Hypothesis, : p < 45%
Here, <u><em>null hypothesis states that</em></u> the proportion of women in similar sales positions across the country in 2004 is more than or equal to 45%.
On the other hand, <u><em>alternate hypothesis states that</em></u> 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.