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Rasek [7]
3 years ago
7

The circle graph shows how William spends his day on average. If he sticks

Mathematics
1 answer:
skad [1K]3 years ago
8 0

Answer:

d

Step-by-step explanation:

i did the math

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You are testing the claim that the proportion of men who own cats is smaller than the proportion of women who own cats. You samp
MariettaO [177]

Answer:

Given:You sample 160 men, and 25% own cats

          You sample 120 women, and 20% own cats.

To Find : Find the test statistic, rounded to two decimal places.

Solution:

You sample 160 men, and 25% own cats.

No. of men have cats = \frac{25}{100} \times 160

                                    = 40

So, n_1=160 , y_1=40

You sample 120 women, and 20% own cats.

No. of women have cats = \frac{20}{100} \times 120

                                    = 24

So, n_2=120 , y_2=24

We will use Comparing Two Proportions

\widehat{p_1}=\frac{y_1}{n_1}

\widehat{p_1}=\frac{40}{160}

\widehat{p_1}=0.25

\widehat{p_2}=\frac{y_2}{n_2}

\widehat{p_2}=\frac{24}{120}

\widehat{p_2}=0.2

Let p_1 and p_2 be the probabilities of men having cat and women having cat receptively

H_0:p_1=p_2\\H_a:p_1

\widehat{p}=\frac{y_1+y_2}{n_1+n_2} =\frac{24+40}{160+120}=0.228

Formula of test statistic : \frac{\widehat{p_1}-\widehat{p_2}}{\sqrt{\widehat{p}(1-\widehat{p})(\frac{1}{n_1}+\frac{1}{n_2})}}

Substitute the values  

test statistic : \frac{0.25-0.2}{\sqrt{0.228(1-0.228)(\frac{1}{160}+\frac{1}{120})}}

test statistic : 0.986

So, test statistic is 0.986

8 0
4 years ago
HELP PLEASE<br> What is the missing exterior angle?<br><br> A. 39<br> B. 83<br> C. 97<br> D. 180
Pepsi [2]

Answer:

B

Step-by-step explanation:

The exterior angle is the sum of the two given angles. (The are called the remote interior angles. The are not connected to the exterior angle we are supposed to find.)

exterior angle = 44 + 39

exterior angle = 83

8 0
3 years ago
Prove: cos(3x)=sin(2x)
Vesnalui [34]

Answer:

Step-by-step explanation:

Step-by-step explanation:

By taking ( x = 18°)

<u>L.H.S</u>

cos(3x)=sin(2x)

cos(3x) = cos( 3X18°)= cos (54°)

            = cos[ 90° - (2x18°)]           ∵[  90°- (2x18°) = 54°]

            = ∴ sin ( 2x18°)

      As (x = 18°)

            = sin (2x) = R.H.S

7 0
3 years ago
Is the 8 and 21 are the coprime number<br>​
lilavasa [31]

Answer:

Coprime numbers (relatively prime). Numbers have no common prime factors.

8 0
3 years ago
Can i have some help ASAP
olga nikolaevna [1]
what do you need help on ? 
7 0
4 years ago
Read 2 more answers
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