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harina [27]
3 years ago
7

Which expression should you simplify to find the 90% confidence interval,

Mathematics
1 answer:
bogdanovich [222]3 years ago
5 0

Answer:

0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.2870.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613

we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

Step-by-step explanation:

The estimated proportion of interest is \hat p=0.45

We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025.

And the critical value is:z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the true population proportion is interest is given by this formula:  

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

Replacing the values provided we got:

0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.287\\\\0.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613

And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

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Alex777 [14]

Answer:

dAB=10\ units

Step-by-step explanation:

we know that

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we have

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Let

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(x2,y2)=B(7, −7)

substitute the given values in the formula

dAB=\sqrt{(-7-1)^{2}+(7-1)^{2}}

dAB=\sqrt{(-8)^{2}+(6)^{2}}

dAB=\sqrt{64+36}

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dAB=10\ units

6 0
3 years ago
Read 2 more answers
Please help!!!Its timed !!!!! Ill give out most brainly and extra points !!!
seropon [69]

Answer:

<h2>D)x=4,y=7</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • equation
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<h3>let's solve:</h3>

according to the question

\begin{cases}x + 29 = 7x + 5 \\ 8y - 35 =3y  \end{cases}

\begin{cases}x -7x= 5-29 \\ 8y - 3y=35 \end{cases}

\begin{cases}-6x= -24\\ 5y=35 \end{cases}

\begin{cases}\frac{-6x}{-6}=\frac{-24}{-6} \\ \frac{5y}{5}=\frac{35}{5} \end{cases}

\therefore \begin{cases}  x=4\\ y=7 \end{cases}

6 0
3 years ago
What are the scores of the students which are less than equal to 25% of the data? <br>​
nikitadnepr [17]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Sandra is selling cookie dough for a fundraiser. She has a minimum fundraising goal of $150. If Sandra's mom gave her a $45 cont
grin007 [14]

Answer:

<h2>At least 21 cookie</h2>

Step-by-step explanation:

Firstly she needed to raise $150

and each cookie $5

let the number of cookie be x

let the expression for the fund raising be

150=5x

given that the mom gave her $45

then she need

150-45=5x

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x=105/5

x=21

Therefore she need to sell at least 21 cookie

         

6 0
3 years ago
Solve the system of equations graphically. Write your answer as an ordered pair (x,y). 6x ‒ 3y = 12 y = x ‒ 2
Sedbober [7]
The answer to the system of equation is (2,0)
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y = 2x - 4
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In this case we subtract y = x - 2 from y = 2x - 4
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y = 2x - 4
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6(2) - 3y = 12
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Now the other equation

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So, the answer is (2,0)

I hope this helps.
YOU'RE WELCOME :D

3 0
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