Answer:
Option C.
Step-by-step explanation:
Consider the below figure attached with this question.
The below figure represents the enlargement of a trapezoid. It means both trapezoid are similar.
We know that the corresponding sides of similar figures are proportional.
On cross multiplication we get
Therefore, the correct option is C.
Answer:
a) point estimate is 30%
b) null and alternative hypothesis would be
: p=27%
: p>27%
c) We reject the null hypothesis, percentage working people aged 65-69 had increased
Step-by-step explanation:
<em>a. </em>
Point estimate would be the proportion of the working people aged 65–69 to the sample size and equals ie 30%
<em>b.</em>
Let p be the proportion of people aged 65–69 who is working. OECD claims that percentage working had increased. Then null and alternative hypothesis would be
: p=27%
: p>27%
<em>c.</em>
z-score of the sample proportion assuming null hypothesis is:
where
then z= = 1.655
Since one tailed p value of 1.655 = 0.048 < 0.05, sample proportion is significantly different than the proportion assumed in null hypothesis. Therefore we reject the null hypothesis.