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In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th

marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}$

Where:

$\hat{p}$ is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

$z_{\alpha /2}$ is the critical value needed to find the tails of distribution related to the confidence level,

$n$ is the sample's size.

<u>First</u> we compute the $\hat{p}$ value:

$\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625$

<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

$z_{\alpha /2}=2.576$

Now we can replace in the formula with the obtained values to compute the confidence interval:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)$

5 0

3 years ago

I need help people help me

sineoko [7]

Answer:

87

Step-by-step explanation:

all the angles of a triangle out of 180 so subtract the two numbers you have from 180

8 0

2 years ago

Read 2 more answers

Please help.... GOD BESS HAVE A GOOD DAY!!!!!

yarga [219]

Answer:

konrad= 1 shorts, 1 shoes, and 1 shirt

mareek= 1 shirts, 1 pair of shoes, and 3 hats

ming= 1 shorts, 2 shirts, and 2 hats

Step-by-step explanation:

3 0

2 years ago

Mei and Alberto are selling cookie dough. Mei sold 11 packages of chocolate chip and 12 packages of gingerbread for a total of $

ycow [4]

Answer:

The price of a package of chocolate chip is $13.25

The price of a package of gingerbread is $17.18

Step-by-step explanation:

11x + 12y = 352

10x +8y = 270

Let "x" be the price of a package of chocolate chip.

Let "y" be the price of a package of gingerbread.

11x + 12y = 352(Multiply the 1st row by 10)

10x +8y = 270 (Multiply the 2nd row by 11)

-------------------

110x + 120y = 3520

110x +88y = 2970

--------------------------

3y = 550

y =550/3

y = 17.1875

The price of a package of gingerbread "y" is $17.18

Let's pick the first equation "110x + 120y = 3520"

110x + 120y = 3520

110x+ 120(17.1875)= 3520

110x+2062.5=3520

110x=3520−2062.5

110x=1457.5

x= 1457.5/110

x=13.25

The price of a package of chocolate chip is $13.25

6 0

2 years ago

This circle is centered at the origin, and the length of its radius iS 6. What is

VikaD [51]

$\sf{\qquad\qquad\huge\underline{{\sf Answer}}}$

The equation of circle in standard form can be represented as :

$\qquad \sf \dashrightarrow \:(x - h) {}^{2} + (y - k) {}^{2} = r {}^{2}$

where,

h = x - coordinate of centre = 0

k = y - coordinate of centre = 0

r = radius of circle = 6 units

now, let's plug in the values :

$\qquad \sf \dashrightarrow \:(x - 0) {}^{2} + (y - 0) {}^{2} = 6 {}^{2}$

$\qquad \sf \dashrightarrow \: {x}^{2} + {y}^{2} = 36$

That's the required equation of circle.

4 0

2 years ago