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MissTica
3 years ago
14

We are interested in conducting a study to determine the percentage of voters of a state would vote for the incumbent governor.

what is the minimum sample size needed to estimate the population proportion with a margin of error of .05 or less at 95% confidence? hint: use a planning proportion of p*=0.50
a. 200.
b. 100.
c. 385.
d. 58.
Mathematics
1 answer:
Sidana [21]3 years ago
6 0
Finding the sample size for estimating a population proportion.

The formula is:

n = (z/m)^2 p~(1−p~)

where:
Z is the z value of the confidence level where 95% is equal to 1.96

M is the margin of error where 0.05

And p~ is the estimated value of the proportion where it is 0.50

Solution:

n = (1.96/0.05)^2 (0.5) (1-0.5)

= 1.536.64 (0.5) (0.5)

= 768.32 (0.5)

= 384.16

This is the minimum sample size, therefore we should round it up to 385. The answer is letter c.
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Find the annual interest rate.
slega [8]

The annual interest rate is 3.5%.

Solution:

Given Interest (I) = $26.25

Principal (P) = $500

Time (t) = 18 months

Rate of interest (r) = ?

Time must be in years to find the rate per annum.

1 year = 12 months

Divide the time by 12.

Time (t) = \frac{18}{12}=\frac{3}{2} years

Now, find the rate of interest using simple interest formula.

<u>Simple interest formula:</u>

$I=\frac{Prt}{100}

$26.25=\frac{500\times r\times \frac{3}{2} }{100}

$26.25\times 100 =500\times r\times \frac{3}{2}

$2625 =250\times r\times 3

$2625 =750\times r

$\Rightarrow r=\frac{2625}{750}

⇒ r = 3.5%

Hence the annual interest rate is 3.5%.

8 0
3 years ago
I am driving from oakland california to erlanger kentucky. The distance is 2,364.6 miles. My gas tank gets 25 miles per gallon o
solong [7]

Answer:$1655.22

Step-by-step explanation:

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2364.6/25 = 472.92 gallons

If the gas cost $3.50 per gallon, it means that the total amount that it will cost to drive from Oakland California to Erlanger Kentucky would be

472.92 × 3.5 = $1655.22

5 0
3 years ago
Pls help me ????????????
ArbitrLikvidat [17]

Answer:

24 books

Step-by-step explanation:

5 0
3 years ago
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Hi can anyone solve this for me please solve it on a piece of paper please
mojhsa [17]

Answer:

Awsten Knight

Step-by-step explanation:

7 0
2 years ago
Two numbers have a difference of 0.7 and a sum of 1. what are the numbers?
Fofino [41]
<span>In order to determine the value of the numbers, we can set up algebraic equations to solve. For this case, we need to set up two equations since we have two unknown numbers. We do as follows:
 let x = first number and y = second number
 From the problem statement, we set up equations.
 Equation 1 - the numbers have a difference of 0.7
 x - y = 0.7
 Equation 2 - the numbers have a sum of 1
 x + y = 1
 Solving for x and y via substitution method,
 x - y = 0.7
(1-y) - y = 0.7
1 - 2y = 0.7
-2y = 0.7 - 1 = -0.3
y = 0.15 or 3/20
 x - 0.15 = 0.7
x = 0.85 or 17/20
 Thus, the two numbers are 0.15 and 0.85.</span>
6 0
3 years ago
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