Solve for z. |z + 4| = 1 Write your answers as integers or as proper or improper fractions in simplest form.

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

leva [86]

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

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

Alternative hypothesis: H₁

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

Level of significance:-

∝ =0.05

Tabulated value z=1.96

Test statistic

$z = \frac{p_{1}-p_{2} }{\sqrt{pq(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }$

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

Conclusion:-

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

8 0

3 years ago

[Image: 1 apple, 3 oranges for each of 5 steps on the slider]

Elina [12.6K]

For every 3 apples, there are 6 oranges

6 0

4 years ago

(8x- 1) (11X - 25) (15y - 48)

Leona [35]

Answer:

1320x^2y−4224x^2−3165xy+10128x+375y−1200

Step-by-step explanation:

(8x−1)(11x−25)(15y−48)

=((8x−1)(11x−25))(15y+−48)

=((8x−1)(11x−25))(15y)+((8x−1)(11x−25))(−48)

=1320x2y−3165xy+375y−4224x2+10128x−1200

=1320x^2y−4224x^2−3165xy+10128x+375y−1200

3 0

3 years ago

Michael is putting 12 boxes in a storage shed. Each box is in the shape of a rectangular prism with dimensions 1.5 feet by 1.5 f

pishuonlain [190]

Answer:

Volume of room will be left after Michael stores the boxes 426 feet cube

Step-by-step explanation:

It is given that

Michael is putting 12 boxes in a storage shed.

Each box is in the shape of a rectangular prism with dimensions 1.5 feet by 1.5 feet by 2 feet.

If the storage shed has dimensions 6 feet by 10 feet by 8 feet,

To find the volume of one box

Volume = 1.5 x 1.5 x 2= 4.5 feet cube

Volume of 12 such box = 4.5 x 12 =54 feet cube

To find the volume of shed

Volume of Shed = 6 x 10 x 8 =480

To find remaining portion of shed

Volume of room will be left after Michael stores the boxes =volume of shed - volume of box

=480 - 54 = 426 feet cube

7 0

3 years ago

Yard

Romashka [77]

Oufoydoydoskdktdotdodtotdclhclhcclhhc

5 0

3 years ago