How do i solve this?
1 answer:
You might be interested in
Answer:
[ 0.4964, 0.5836 ]
Step-by-step explanation:
Data provided in the question:
Total sample size = 500
person voting for smith = 270
thus,
P( person voting for smith ), p = = 0.54
Confidence level = 95%
now,
standard error, SE =
or
SE =
or
SE = 0.0223
now,
Confidence interval = p ± ( z × SE )
here,
z value for 95% confidence interval is 1.96
Confidence interval = [ 0.54 - ( 1.96 × 0.0223 ), 0.54 + ( 1.96 × 0.0223 ) ]
= [ 0.54 - 0.0436 , 0.54 + 0.0436 ]
= [ 0.4964, 0.5836 ]
The simplified mathematical expressions with the first factor to the nearest tenth are:
7.8 x 10
3.3 x
2.1 x
3.7
<h3>What are the simplified mathematical expressions ?</h3>Scientific notation is used to simplify large numbers in smaller numbers. In order to write a number in scientific notation , the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
(8.6 x ) . (9.1 x
)
= (8.6 x 9.1) x
= 78.26 x
= 7.8 x 10
(6.9 x ) . (4.8 x
)
= 33.12 x
3.3 x
(3.7 x ) . (4.6 x
) ÷ (1.4 x
) . (5.7 x
)
= 1.7 x 10 ÷ 8 x10²
0.21 x
2.1 x
(3.1 x ) . (5.3 x
) ÷ (7.3 x
) . (6.1 x
) = 3.7
To learn more about scientific notation, please check: brainly.com/question/25334755
#SPJ4
