My question is in the picture please help. First answer gets brainliest

Ignoring those who said they weren't sure, there were 297 men asked, and 183 said yes, they had driven a car when they probably

USPshnik [31]

Answer:

$z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998$

$p_v =2*P(z>3.998)=0.0000639$

With the most common significance levels used $\alpha= 0.1, 0.05, 0.01$ we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

Step-by-step explanation:

Information given

n=297 represent the random sample of male taken

X=183 represent the men who said yes, they had driven a car when they probably had too much alcohol

$\hat p=\frac{183}{297}=0.616$ estimated proportion of men who said yes, they had driven a car when they probably had too much alcohol

$p_o=0.5$ is the value that we want to test

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Hypothesis to test

We need to conduct a hypothesis in order to test the claim that the majority of men in the population (that is, more than half) would say that they had driven a car when they probably had too much alcohol, and the system of hypothesis are:

Null hypothesis: $p\leq 0.5$

Alternative hypothesis: $p > 0.5$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

After replace we got:

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.616-0.5}{\sqrt{\frac{0.5(1-0.5)}{297}}}=3.998$

Decision

We have a right tailed test so then the p value would be:

$p_v =2*P(z>3.998)=0.0000639$

With the most common significance levels used $\alpha= 0.1, 0.05, 0.01$ we see that the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can say that the true proportion is significantly higher than 0.5

7 0

3 years ago

If <3 and <4 are vertical angles and m<3=9x+5 and m<4=5x+33 find <4

KatRina [158]

Answer:

<em>68 degrees</em>

Step-by-step explanation

If <3 and <4 are vertical angles, then <3 = <4

This means that

9x + 5 = 5x + 33

9x - 5x = 33 - 5

4x = 28

x = 28/4

x = 7

Since <4 = 5x+ 33

<4 = 5(7) + 33

<4 = 35 + 33

<4 = 68 degrees

<em>Hence the measure of <4 is 68 degrees</em>

6 0

3 years ago

30 PTS!!! ANYONE GOOD AT MATH PLS HELP!

siniylev [52]

Answer:

$\frac{2}{\sqrt{5} }$

Step-by-step explanation:

To solve this, all we need to do is draw a triangle.

From the $arctan(2)$ we can deduce that $tan(x)=\frac{2}{1}$

From that, we can draw our triangle as we know that tan(x) is the opposite side over the adjacent side. Attached is that triangle. Through the Pythagorean Theorem, we can find that the hypotenuse of this right triangle is $\sqrt{5}$

Now all we need to do is take the sin of this triangle, which is the opposite side over the hypotenuse

This gives us the value of $\frac{2}{\sqrt{5} }$ which is our answer.

8 0

3 years ago

An arrangement of flowers originally priced at $48.00 is marked down to $39.00. What is the percent of decrease, rounded to the

Mashcka [7]

The answer is C

So how?

I multiplied 48*.19= 9.12 then subtracted that from 48 and got 38.88 which rounds to 39

C is the answer

I hope this helps! :D

6 0

3 years ago

Easy question Give a formula used for finding the area of a square. Then use the formula to find the area of a square with a sid

Alik [6]

A=s^2

A=6.3^2

(A=6.3x6.3)

And your answer would be:

A=39.69cm^2

4 0

3 years ago

My question is in the picture please help. First answer gets brainliest​

My question is in the picture please help. First answer gets brainliest