Answer:
Step-by-step explanation:
Proportion of retired people under the age of 65 would return to work on a full-time basis if a suitable job were available = 60/100 = 0.6 = P
Null hypothesis: P ≤ 0.6
Alternative: P > 0.6
First, to calculate the hypothesis test, lets workout the standard deviation
SD = √[ P x ( 1 - P ) / n ]
where P = 0.6, 1 - P = 0.4, n = 500
SD = √[ (0.6 x 0.4) / 500]
SD = √ (0.24 / 500)
SD = √0.00048
SD = 0.022
To calculate for the test statistic, we have:
z = (p - P) / σ where p = 315/500 = 0.63, P = 0.6, σ = 0.022
z = (0.63 - 0.6) / 0.022
z = 0.03/0.022
z = 1.36
At the 2% level of significance, the p value is less than 98% confidence level, thus we reject the null hypothesis and conclude that more than 60% would return to work.
There are numerous important information's already given in the question. Based on these information's, the answer can be deduced.
Let us assume the age of Daniel = x years
Let us assume the age of Kevin = y years
Then
y = 4x
and
y = x + 6
So
4x = x + 6
4x - x = 6
3x = 6
x = 6/3
= 2 years
So
Age of Kevin = 4 * 2 years
= 8 years
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Part B
Divide 63 by 3 to get 21, the price of one shirt.
Divide 21 by 7 to get 3, 10% of the original price.
Multiply 3 by 10 to get 30, the original price of one shirt.
Answer: $30
Part C
Divide 40 by 10 to get 4, 10% of original price
Multiply 4 by 3 to get 12, 30% of the original price
subtract 12 from 40 to get 28, the price after discount
Divide 28 by 10 to get 2.8, the second 10% discount.
Subtract 2.8 from 28 to get 25.2, the final price.
Answer: $25.20
