<u>Answer:</u>
The correct answer option is b)
.
<u>Step-by-step explanation:</u>
We are given that the first urn contains 7 white balls and 7 yellow balls and the second urn contains 3 white balls and 6 yellow balls. We are to find the probability that both balls drawn are white.
This means that the first must be white and the second ball must also be white.
P (w, w) =
×
= 
Therefore, the probability that both the balls drawn are white is 1/6.
Earnings: $2900
Expenditure on food: $290
Percentage expenditure on food = Expenditure on food / Earnings times 100
= $290/$2900 * 100 = 10%
Answer:
Since the equation is to the power of 4, the negative sign to the power of 4 will give a positive sign.
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
- p(s) is the sample proportion of working people aged 65–69 (0.3)
- p is the proportion assumed under null hypothesis. (0.27)
- N is the sample size (600)
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.