Answer:
The evidence provided does not statistically support the researcher’s belief
Step-by-step explanation:
From the question we are told that
The sample size of each political party is ![n = 200](https://tex.z-dn.net/?f=n%20%20%3D%20200)
The number of democrats that favor death penalty is ![k = 34](https://tex.z-dn.net/?f=k%20%3D%20%2034)
The number of republicans that favor death penalty is ![u = 46](https://tex.z-dn.net/?f=u%20%3D%20%2046)
Generally the sample proportion for Republicans is
![\r p_1 = \frac{ 46}{200}](https://tex.z-dn.net/?f=%5Cr%20p_1%20%3D%20%20%5Cfrac%7B%2046%7D%7B200%7D)
![\r p_1 = 0.23](https://tex.z-dn.net/?f=%5Cr%20p_1%20%3D%20%200.23)
Generally the sample proportion for Democrats is
![\r p_2 = \frac{ 34}{200}](https://tex.z-dn.net/?f=%5Cr%20p_2%20%3D%20%20%5Cfrac%7B%2034%7D%7B200%7D)
![\r p_1 = 0.17](https://tex.z-dn.net/?f=%5Cr%20p_1%20%3D%20%200.17)
The null hypothesis is ![H_o : \r p _1 = \r p_2](https://tex.z-dn.net/?f=H_o%20%20%3A%20%20%5Cr%20p%20_1%20%3D%20%5Cr%20p_2)
The alternative hypothesis is ![H-_1 : \r p_1 > \r p_2](https://tex.z-dn.net/?f=H-_1%20%3A%20%20%5Cr%20p_1%20%3E%20%5Cr%20p_2)
Generally the pooled population proportion is evaluated as
![\r p = \frac{ k + u }{n + n }](https://tex.z-dn.net/?f=%5Cr%20p%20%20%3D%20%20%5Cfrac%7B%20k%20%2B%20%20u%20%7D%7Bn%20%2B%20n%20%7D)
![\r p = \frac{ 34 + 46 }{200 + 200 }](https://tex.z-dn.net/?f=%5Cr%20p%20%20%3D%20%20%5Cfrac%7B%20%2034%20%2B%20%2046%20%7D%7B200%20%2B%20200%20%7D)
![\r p = 0.2](https://tex.z-dn.net/?f=%5Cr%20p%20%20%3D%20%200.2)
The test statistics is evaluated as
![t = \frac{ \r p _1 - \r p_2 }{\sqrt{ \r p (1 - \r p ) [\frac{1}{n} +\frac{1}{n} ]} }](https://tex.z-dn.net/?f=t%20%3D%20%20%5Cfrac%7B%20%5Cr%20p%20_1%20%20%20-%20%20%5Cr%20p_2%20%7D%7B%5Csqrt%7B%20%5Cr%20p%20%20%281%20-%20%5Cr%20p%20%29%20%5B%5Cfrac%7B1%7D%7Bn%7D%20%20%2B%5Cfrac%7B1%7D%7Bn%7D%20%20%5D%7D%20%7D)
![t = 1.5](https://tex.z-dn.net/?f=t%20%3D%201.5)
The p-value is obtained from the z-table the value is
![p-value = P(Z> 1.50 ) = 0.066807](https://tex.z-dn.net/?f=p-value%20%20%3D%20%20P%28Z%3E%20%201.50%20%29%20%3D%20%200.066807)
=> ![p-value = 0.066807](https://tex.z-dn.net/?f=p-value%20%20%20%3D%20%200.066807)
Given that
then we fail to reject the null hypothesis this mean that there is no sufficient evidence to support the researcher’s belief
7y + 3y = 180
10y = 180
y = 180/10
y = 18
so < 9 = 7y = 7(18) = 126
< 10 = 3y = 3(18) = 54
< 9 and < 11 are corresponding angles....so they are equal....so < 11 is 126 degrees....< 11 and < 16 are vertical angles...so they are equal....so < 16 is 126 degrees <==
Answer:
D
Step-by-step explanation:
If you think of the equation as an equation for a line.
=+
y
=
m
x
+
b
where
=5/9(−32)
C
=
5
/
9
(
F
−
32
)
or
=5/9−5/9(32)
C
=
5
/
9
F
−
5
/
9
(
32
)
you can see the slope of the graph is 5/9
5
/
9
, which means that for an increase of 1 degree Fahrenheit, the increase is 5/9
5
/
9
of 1 degree Celsius. Therefore, statement I is true.
This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9/5
9
/
5
degrees Fahrenheit. Since 95
9
5
= 1.8, statement II is true.
On the other hand, statement III is not true, since a temperature increase of 9/5
9
/
5
degrees Fahrenheit, not 5/9
5
/
9
degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.
The final answer is D.
Answer:
depends what u get in the roots whether the number is ![\sqrt{9} or \sqrt{-9}](https://tex.z-dn.net/?f=%5Csqrt%7B9%7D%20%20%20or%20%5Csqrt%7B-9%7D)
if it is square root -9 its gonna be 3i compared to just 3
First, add up the number of strawberries in each cartons to determine the total number of strawberries.
N = 19 + 26
N = 45
To determine the number of bags that will hold 6 strawberries, divide 45 by 6.
n = 45 strawberries / (6 strawberries/bag)
n = 7.5
Then, there are 7 bags with 6 strawberries each.