What fraction is equal to 0.2

Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In p

Bingel [31]

Answer:

A)

Null hypothesis:H₀:- There is no significant difference between in drug resistance between the two states

Alternative Hypothesis :H₁:

There is significant difference between in drug resistance between the two states

B)

The calculated value Z = 2.7261 > 2.054 at 0.02 level of significance

Rejected H₀

There is a significant difference in drug resistance between the two states.

C)

P - value = 0.0066

P - value = 0.0066 < 0.02

D)

1) Reject H₀

There is a significant difference in drug resistance between the two states.

Step-by-step explanation:

Step(i):-

Given first sample size n₁ = 174

Suppose that, of 174 cases tested in a certain state, 11 were found to be drug-resistant.

First sample proportion

$p_{1} = \frac{x_{1} }{n_{1} } = \frac{11}{174} = 0.0632$

Given second sample size n₂ = 375

Given data Suppose also that, of 375 cases tested in another state, 7 were found to be drug-resistant

Second sample proportion

$p_{2} = \frac{x_{2} }{n_{2} } = \frac{7}{375} = 0.0186$

Step(ii):-

Null hypothesis:H₀:- There is no significant difference between in drug resistance between the two states

Alternative Hypothesis :H₁:

There is significant difference between in drug resistance between the two states

Test statistic

$Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

Where

$P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1} +n_{2} }$

$P = \frac{174 (0.0632) + 375 (0.0186) }{174+375 } = \frac{17.9718}{549} = 0.0327$

Q = 1 - P = 1 - 0.0327 = 0.9673

Step(iii):-

Test statistic

$Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }$

$Z = \frac{0.0632-0.0186 }{\sqrt{0.0327 X 0.9673(\frac{1}{174 }+\frac{1}{375 } ) } }$

Z = 2.7261

Level of significance = 0.02 or 0.98

The z-value = 2.054

The calculated value Z = 2.7261 > 2.054 at 0.02 level of significance

Reject H₀

There is a significant difference in drug resistance between the two states.

P- value

P( Z > 2.7261) = 1 - P( Z < 2.726)

= 1 - ( 0.5 + A (2.72))

= 0.5 - 0.4967

= 0.0033

we will use two tailed test

2 P( Z > 2.7261) = 2 × 0.0033

= 0.0066

P - value = 0.0066 < 0.02

Reject H₀

There is a significant difference in drug resistance between the two states.

8 0

3 years ago

fritz wrote a set of related facts for the array below.which equation is not intended in the set of related facts for this array

oksian1 [2.3K]

Do you have the equation choices?

7 0

3 years ago

How many dominos are needed to complete the triangle?

solong [7]

Only 3 is needed

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Which expression is represented by the phrase "the square of y decreased by the quotient of 28 and 7"?

padilas [110]

Answer:

y^2-(28/7)

or, y^2-(4)

3 0

3 years ago

If a fraction is a negative should the negative sign be in the numerator denominator both or it doesn't matter

Angelina_Jolie [31]

Here's the rule for working with these things:

There are 3 signs associated with a fraction:
=> the sign of the numerator
=> the sign of the denominator
=> the sign of the whole fraction; (if the fraction were in
   parentheses, this sign would be written outside).

-- You can change any 2 of them without changing the value of the fraction.

-- Changing any 1 of them changes the effective sign.
___________________________________

Now, you said the fraction is negative.
So, let's start with the positive fraction, and see the different ways
that we could make it a negative fraction:

=> mark only the numerator negative
=> mark only the denominator negative
=> put parentheses around the fraction, and mark it negative outside

If you do any one of these things to a normal positive fraction,
it turns into a negative fraction.

Look at the choices you listed in the question:

-- in the numerator only ? Yes. That makes it a negative fraction.

-- in the denominator only ? Yes. That makes it a negative fraction.

-- both ? No. That makes it the same as a positive fraction.

-- put parentheses around the fraction, and a negative sign outside ?
   Yes. This makes it a negative fraction.

-- it doesn't matter ?   No. I hope you can see that it does matter.

Have I confused you ?
Is this more than you wanted to know ?

7 0

3 years ago

What fraction is equal to 0.2​

What fraction is equal to 0.2