Can you explain it and help me out please
2 answers:
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Answer:
y = 6
Step-by-step explanation:
Answer:
The p value can be calculated from the alternative hypothesis with this probability:
And the best option for this case would be:
C. between 0.01 and 0.05.
Step-by-step explanation:
Information provided
represent the number of smokers from the sample in 1995
represent the number of smokers from the sample in 2010
sample from 1995
sample from 2010
represent the proportion of smokers from the sample in 1995
represent the proportion of smokers from the sample in 2010
represent the pooled estimate of p
z would represent the statistic
represent the value for the pvalue
System of hypothesis
We want to test the equality of the proportion of smokers and the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Where
Replacing the info given we got:
The p value can be calculated from the alternative hypothesis with this probability:
And the best option for this case would be:
C. between 0.01 and 0.05.
Answer:
Therefore the 95% confidence interval is (25,707.480 < E < 26,744.920)
Step-by-step explanation:
n = 77
mean u = 26,226.2 bushels per acre
standard deviation s = 2,322.32
let E = true mean
let A = test statistic
Find 95% Confidence Interval
so
let A = (u - E) * ( / s) be the test statistic
we want P( average_l < A < average_u ) = 95%
look for lower 2.5% and the upper 97.5% Because I think this is a 2-tail test
average_l = -1.96 which corresponds to the 2.5%
average_u = 1.96
P( -1.96 < A < 1.96) = 95%
P( -1.96 < (u - E) * ( / s) < 1.96) = 95%
Solve for the true mean E ok
E < u + 1.96* (s / )
from -1.96 < (u - E) * ( / s)
E < 26,226.2 + 1.96*( 2,322.32 / )
E < 26,226.2 + 1.96*( 2,322.32 / )
E < 26,226.2 + 518.7197348105429466
upper bound is 26,744.9197
or
u - 1.96* (s / ) < E
26,226.2 - 518.7197348105429466 < E
25,707.48026519 < E
lower bound is 25,707.48026519
Therefore the 95% confidence interval is (25,707.480 < E < 26,744.920)