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shusha [124]
3 years ago
10

Margin of error: 0.04; confidence level: 95%; from a prior study, bold p with bold overparenthesis on top is estimated by the de

cimal equivalent of 89%. Find the sample size.
Mathematics
1 answer:
GrogVix [38]3 years ago
6 0

Answer: 235

Step-by-step explanation:

The formula to calculate the sample size  :-

n=(\hat{p}(1-\hat{p}))(\dfrac{z_{\alpha/2}}{E})^2

Given :  Estimated proportion \hat{p}=0.89

Margin of error : E=0.04

Significance level : \alpha=1-0.95=0.05

Critical value : z_{\alpha/2} =1.96

Now, the required sample size will be :-

n=(0.89(0.11))(\dfrac{(1.96)}{0.04})^2

\Rightarrow\ n= 235.057\approx235

Hence, the required minimum sample size = 235

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alexira [117]

I wrote my decision on a piece of paper.

6 0
3 years ago
Assume every 10-digit natural number is a possible telephone number except those that begin with 0, 1 or 2. What fraction of tel
lana [24]

Answer: 1/70

Step-by-step explanation:

This is a question that can also be interpreted as what is the probability of having the first number of a phone number to be 8 and the last number of the phone number to also be 8. This answer gives the fraction of the phone numbers that starts with 8 and end with 8.

Since three numbers (0,1,2) cannot start a phone number and we are left to pick from 7 numbers,

then the probability of figure "8" starting phone number = 1/7

Since all 10 numbers can possibly end a phone number,

then the probability of having figure "8" as the last digit of a phone number = 1/10

Hence probability of having "8" as the first and last digit of a phone number = fraction of total telephone numbers that begin with digit 8 and end with digit 8 = 1/7 × 1/10 = 1/70.

5 0
3 years ago
The variable z is inversely proportional to x. When x is 16, z has the value 0.875. What is the value of z when x= 21?
ziro4ka [17]
For z and x to be inversely proportional, there must be some constant k such that

zx=k

Given that z=0.875 when x=16, it follows that

0.875\cdot16=k\implies k=14

Then when x=21, we have

21z=14\implies z=\dfrac{14}{21}=\approx0.667
8 0
4 years ago
Jeremiah Holmes
olga nikolaevna [1]

Answer:

- 508

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 28 and d = - 34 - (- 28) = - 34 + 28 = - 6, thus

a_{81} = - 28 + (- 6 × 80) = - 28 - 480 = - 508

6 0
3 years ago
Which graph represents the solution?​
marusya05 [52]

Answer:

A

Step-by-step explanation:

Given the inequality :

v + 4 > 2 and 8v - 20 < 36

v + 4 > 2

v > 2 - 4

V > - 2

8v - 20 < 36

8v < 36 + 20

8v < 56

v < 56/8

v < 7

Hence,

v > - 2 and v < 7

-2 < v < 7

7 0
3 years ago
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