Answer:
a)At the 10% significance level, we fail to reject the null hypothesis.
b) P-value is ≈ 0.48
Step-by-step explanation:
Let p be the proportion of the auditors agree with the statement "Cash flow is an important indicator of profitability."
Then,
: p=0.5
: p≠0.5
Test statistic can be calculated as:
z=
where
- p(s) is the sample proportion of the auditors agree with the statement. (
=0.525)
- p is the proportion assumed under null hypothesis. (0.5)
- N is the sample size (200)
Using these numbers we get:
z=
≈0,707
and p(z) is ≈ 0.48. Since 0.48>0.10, the result is not significant at 90% level. Therefore we fail to reject the null hypothesis.
Increasing the length by 10% means we multiply the old length x by 1.1 since
100% + 10% = 1+0.1 = 1.1
Old length = x
New length = 1.1x
Old area = x*x = x^2
New area = (1.1x)*(1.1x) = (1.1*1.1)*(x*x) = 1.21x^2
So the area increases by 21%
1.21 = 1+0.21 = 100% + 21%