Answer:
Step-by-step explanation:
Answer: (0.076, 0.140)
Step-by-step explanation:
Confidence interval for population proportion (p) is given by :-

, where
= sample proportion.
n= sample size.
= significance level .
= critical z-value (Two tailed)
As per given , we have
sample size : n= 500
The number of Independents.: x= 54
Sample proportion of Independents
Significance level 98% confidence level :
By using z-table , Critical value :
The 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters will be :-

Hence, the 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters.= (0.076, 0.140)
Answer:
Terry initially had £390
Step-by-step explanation:
The ratio of the original amount is 3:7
Let the original amount Terry has be t and the original amount Faye has be f
3/7 = t/f
or simply 3f = 7t ••••••(i)
Terry putting 220 means he now has
t + 220
Faye withdrew 300
He now has f-300
These values are equal
t + 220 = f-300
f = t+220+300
f = t + 520 ••••••(ii)
Put ii into i
3(t + 520) = 7t
3t + 1560 = 7t
7t-3t = 1560
4t = 1560
t = 1560/4
t = 390
Let
x-----> the measure of the angle formed by the wooden fence and grass
we know that
in a right triangle
tan x=opposite side angle x/adjacent side angle x
opposite side angle x=13 ft
adjacent side angle x=21 ft
so
tan x=13/21x=arc tan (13/21)-----> x=31.76°------> x=32°
the answer is
32 degrees
Answer:
d. H0:
vs.
Step-by-step explanation:
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
On this case the Management try to determine if there is a difference in the average investment/quad between using electricity and using gas. So this needs to be on the alternative hypothesis. And the complement of the alternative hypothesis would be on the null hypothesis.
Null hypothesis :
Alternative hypothesis:
Or equivalently:
Null hypothesis :
Alternative hypothesis:
Other important thing is that on the alternative hypothesis we never can have the symbol equal.
So on this case the best options is:
d. H0:
vs.