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Answer:
There is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men
Step-by-step explanation:
The population 10 year cumulative incidence of prostrate cancer among 70 year old men, p = 0.06
The number of 50 year old men in the sample, n = 260 men
The number of the sampled men that developed prostrate cancer = 13 men
The significance level, α = 0.05
Let the null hypothesis, H₀: = p
The alternative hypothesis, Hₐ: ≠ p
The standard score, = 1.96
The test statistic, 'z', is given as follows;
= 13/260 = 0.05
q = 1 - p = 1 - 0.06 = 0.94
From the z-table, we find the p-value as follows;
P(z ≈ -0.68) = 0.24825
Therefore, given that the p-value, 0.24825 is larger than the significance level, α/2 = 0.025, we fail to reject the null hypothesis, and therefore, there is not enough statistical evidence to conclude that the cumulative incidence of prostrate cancer among 50-year old men differs from that of 70-year old men
All expressions whose sum represents the same vector as (r + s) + t. is Option b,c,e
<h3>What are the expressions that equals (r + s) + t. ?</h3>Where
r= (2,3)
s= (5,-3)
t= (-8,6)
Generally, the equation for statement is mathematically given as
(7,0)+(-8,6) ,(2,3)+(-3,3) and (-6,9)+(5,-3) are equal to (r+s)+t
Therefore
x=(2,3)+(5,-3)
x=(7,0)
Now we can calculate (r+s)+t as
(7,0)+(-8,6)
(7-8,0+6)
(-1,6)
For (b)
x=(7,0)+(-8,6)
x=(-1,6)
in this scenario x expressions is equal to (r+s)+t
For (c)
x=(2,3)+(-3,3,)
x=(-1,6)
in this scenario x expressions is equal to (r+s)+t
For (e)
x=(-1,6)
in this scenario x expressions is equal to (r+s)+t
In conclusion, all expressions whose sum represents the same vector as (r + s) + t. is b,c,e
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