1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AnnyKZ [126]
3 years ago
15

Tain has a great literary tradition that spans centuries. One might assume, then, that Britons read more than citizens of other

countries. Some Canadians, however, feel that a higher percentage of Canadians than Britons read. A recent Gallup Poll reported that 86% of 1004 randomly sampled Canadians read at least one book in the past year, compared to 81% of 1009 randomly sampled Britons. Do these results confirm a higher reading rate in Canada?
1) Test an appropriate hypothesis and state your conclusions
Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0

Answer:

Null hypothesis:p_{1} \leq p_{2}  

Alternative hypothesis:p_{1} > p_{2}  

z=3.02  

p_v =P(Z>3.02)=0.00127  

The p value is a very low value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of Canadians is not significantly higher than the porportions of readers at Britons.  

Step-by-step explanation:

1) Data given and notation  

X_{1}=0.86*1004 represent the number of Canadians randomly sampled by Gallup that read at least one book in the past year

X_{2}=0.81*1009 represent the number of Britons randomly sampled that read at least one book in the past year

n_{1}=1004 sample of Gallup selected

n_{2}=1009 sample of Britons selected

p_{1}=0.86 represent the proportion of Canadians randomly sampled by Gallup that read at least one book in the past year

p_{2}=0.81 represent the proportion of Britons randomly sampled that read at least one book in the past year

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportion for men with red/green color blindness is a higher than the rate for women  , the system of hypothesis would be:  

Null hypothesis:p_{1} \leq p_{2}  

Alternative hypothesis:p_{1} > p_{2}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{0.81+0.86}{2}=0.835

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.86-0.81}{\sqrt{0.835(1-0.835)(\frac{1}{1004}+\frac{1}{1009})}}=3.02  

4) Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test.  

Since is a one side test the p value would be:  

p_v =P(Z>3.02)=0.00127  

So the p value is a very low value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of Canadians is not significantly higher than the porportions of readers at Britons.  

You might be interested in
Which linear function represents the table
My name is Ann [436]

Answer:-5.5

Step-by-step explanation:

you can do the y divided by the x to get what you are multiplying by which would be 5.5

8 0
3 years ago
Read 2 more answers
A bus travels 168 km on 14 litres of petrol how far will it travel on 27 litre​
wariber [46]

Answer:

324 km

Step-by-step explanation:

5 0
2 years ago
What are the factors of the expression 3x(y + 5)?
slamgirl [31]
3x(y+5)

= 3xy+15x

= (Tienes que multiplicar dentro del paréntesis por 3x) <span />
7 0
3 years ago
What is the answer to 6 2/7 * 2 1/ 10
mixas84 [53]

Answer:

13.2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Factor 2x^2 - 6x + 4 completely
katovenus [111]

Answer:

Step-by-step explanation:

Factor

2

out of

2

x

2

.

2

(

x

2

)

+

6

x

−

4

Factor

2

out of

6

x

.

2

(

x

2

)

+

2

(

3

x

)

−

4

Factor

2

out of

−

4

.

2

x

2

+

2

(

3

x

)

+

2

⋅

−

2

Factor

2

out of

2

x

2

+

2

(

3

x

)

.

2(

x

2

+

3

x

)

+

2

⋅

−

2

Factor

2

out of

2

(

x

2

+

3

x

)

+

2

⋅

−

2

.

2

(

x

2

+

3

x

−

2

)

6 0
3 years ago
Read 2 more answers
Other questions:
  • I NEED HELP<br><br><br> cube with 7cm3 sides and the mass is 210g
    10·1 answer
  • (a) Write the equation of the line that represents the linear approximation to the following function at the given point a. (b)
    8·1 answer
  • 740% as a decimal and as a mix number
    8·1 answer
  • What is the value of y in the solution to the system of equations?
    6·1 answer
  • Expanded form of 8x43
    8·1 answer
  • Can you solve 64x³=27
    8·1 answer
  • Janine has job offer sat two companies. One company offers a starting salary of 28,000 with a raise of 3,000 each year. The othe
    9·1 answer
  • URGENT WILL GIVE BRAINLIEST
    6·1 answer
  • What is the solution to the equation 5 x + 2 x = 24 − 4 ( x − 5 ) ?
    5·1 answer
  • Find the area of the triangle ABC
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!