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WITCHER [35]
2 years ago
8

Find the geometric mean of the numbers. If necessary, give the answer in simplest radical form.

Mathematics
1 answer:
pav-90 [236]2 years ago
4 0
Its the square root of 1.5*20 which is root 30
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A survey asked whether respondents favored or opposed the death penalty for people convicted of murder. Software shows the resul
pav-90 [236]

Answer:

95% confidence interval for the proportion of the adults who were opposed to the death penalty is (0.668, 0.704).

Step-by-step explanation:

We are given that a survey asked whether respondents favored or opposed the death penalty for people convicted of murder. Software shows the results below, where X refers to the number of the respondents who were in favor.

X = 1,790

N = 2,610

\hat p = Sample proportion = X/N = 0.6858

Firstly, the pivotal quantity for 95% confidence interval for the population proportion  is given by;

     P.Q. = \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion = 0.6858

           n = sample of respondents = 2,610

           p = population proportion

<em>Here for constructing 95% confidence interval we have used One-sample z proportion statistics.</em>

So, 95% confidence interval for the population​ proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at

                                   2.5% level of significance are -1.96 & 1.96}

P(-1.96 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 1.96) = 0.95

P( -1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < {\hat p-p} < 1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.95

P( \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } < p < \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.95

<u>95% confidence interval for p</u> = [ \hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } , \hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} }]

  = [ 0.6858-1.96 \times {\sqrt{\frac{0.6858(1-0.6858)}{2610} } , 0.6858+1.96 \times {\sqrt{\frac{0.6858(1-0.6858)}{2610} } ]

  = [0.668 , 0.704]

Therefore, 95% confidence interval for the population proportion of the adults is (0.668, 0.704).

3 0
3 years ago
Complete the sentence.
leva [86]

Answer:

129

Step-by-step explanation:

there is a sequence of 9 to each

3 0
3 years ago
Which expression is equivalent to (5•3)-4
s344n2d4d5 [400]

Answer:

11

Step-by-step explanation:

(5*3)=15=15-4

4 0
3 years ago
Read 2 more answers
a quarter weighs approximately 5.7 grams and a dime weighs approximately 2.3 grams. A bag with 57 quarters and some dimes weighs
Neporo4naja [7]
Answer: 95 dimes



Step by step explanation
4 0
3 years ago
What is the slope of this line?
OLga [1]
The slope of this line is -2. 

rise/run

rise = 4 
run = -2 
  
      4 
   ------- = -2
     -2 

Using the points (1,0) & (0,2)

     2 - 0         2
  ----------- = ----- = -2
    0 - 1         -1

6 0
3 years ago
Read 2 more answers
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