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
puteri [66]
3 years ago
13

In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear pow

er plant, it is found that 63 of 100 urban residents favor the construction while only 59 of 125 suburban residents are in favor. We wish to know if there a significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant. Do the step by step procedure on hypothesis test of two proportions, use 0.05 level.
Mathematics
1 answer:
leva [86]3 years ago
8 0

Answer:

The test statistic z = z = 2.368 >1.97 (at 5% level of significance)

we rejected null hypothesis at 5% level of significance

There is  significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

Step-by-step explanation:

Given data In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant, it is found that 63 of 100 urban residents

The first sample proportion  p₁ = \frac{63}{100} =0.63

The construction of  59 of 125 suburban residents are in favor

The second  sample proportion p_{2} = \frac{59}{125}  = 0.472

Given the sample sizes are n₁ = 100 and n₂ =125

<u>Null hypothesis(H₀):</u>-there is no significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

<u>Alternative hypothesis: H₁</u>

There is  significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

<u>Level of significance</u>:-

∝ =0.05

Tabulated value z=1.96

<u>Test statistic</u>

<u></u>z = \frac{p_{1}-p_{2}  }{\sqrt{pq(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }<u></u>

where p = \frac{n_{1}p_{1} +n_{2}p_{2}  }{n_{1} +n_{2} }         q = 1- p

Substitute all values in above equation

p = \frac{100X0.63+0.472X125}{100+125} = 0.542

q = 1-p = 1 - 0.542 = 0.458

The test statistic

z = \frac{0.63-0.472}{\sqrt{0.542X0.458}(\frac{1}{100}+\frac{1}{125}   )}

on simplification , we get

z = 2.368 >1.97 (at 5% level of significance)

we rejected null hypothesis at 5% level of significance

<u>Conclusion</u>:-

There is  significant difference between the proportions of urban and suburban residents who favor construction of the nuclear plant.

You might be interested in
I'm confused on this help ??
nika2105 [10]
(2^8 x 3^-5 x 6^0) x [(3^-2/2^3) x 2^28] = x
(256 x .004 x 1) x [(.111/8) x 268,435,456] = x
(1.024 x 1) x .(0138 x 268,435,456) = x
1.024 x (.0138 x 268,435,456) = x
1.024 x 3,704,409.2928 = x
3,793,315.1158272 = x
Correct me if I am wrong. :)
7 0
3 years ago
I definitely need help with this difficult math problem. -7x+y^3+7x^3+6x-3y^3-2x^3+3x
Mars2501 [29]
The answer is 2x-2y^3+5x^3
6 0
3 years ago
The perimeter of any rectangle is the sum of its lengths and widths. The area of any rectangle is the length l times the width w
kkurt [141]
A. 2(l)+2(w)=P

B. lw=A

C. 2(14) + 2(8) = P
28 + 16 = P
44 = P

D. Im going to assume the rectangle shown is the same as C...
14 x 8 = A
112=A

Hope this helps!
4 0
2 years ago
Write the numeral for: Three thousand and five dollars and six cents.​
maxonik [38]

$3,005.06 is the answer for the question

6 0
2 years ago
Read 2 more answers
Please help me and I’ll give you brainiest!!!!!!!!!
barxatty [35]

Answer:

137

Step-by-step explanation:

because you have to add the nubers

5 0
2 years ago
Other questions:
  • What is a counterexample of the statement “all square roots are irrational”
    10·1 answer
  • how do you find the radius of a cylinder given the volume and height ? If the volume of a cylinder 100 cubic feet and height 10f
    6·1 answer
  • If 12 roses cost $18.96 what does 5 roses cost
    10·1 answer
  • The length of a string in yards is a function f(n) of the length n in inches. Write a function rule for this situation.
    5·1 answer
  • The average of 2 numbers is 1/2. if one of the numbers is 11/17 then the other number is ___
    14·1 answer
  • 3 square root of 112m to the 4 n to the 8 p to the 5
    5·1 answer
  • The average number of days required by a college’s undergraduate students to complete a project was 22 days in the previous year
    13·1 answer
  • Plaz..mmnj k,mnmnm 1
    7·1 answer
  • Simplify- 28 x*5 y*-3 z w
    12·1 answer
  • The line graph shows the number of cars owned by some families <br> how many families were there
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!