Which property states that if a = b and b = c, then a = c?

The USDA conducted tests for salmonella in produce grown in California. In an independent sample of 252 cultures obtained from w

Marat540 [252]

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 252$

The number that tested positive is $k_1 = 18$

The second sample size is $n_2 = 476$

The number that tested positive is $k_2 = 20$

The level of significance is $\alpha = 0.01$

Generally the first sample proportion is mathematically represented as

$\^ p _1 = \frac{k_1 }{ n_1 }$

=> $\^ p _1 = \frac{18 }{ 252 }$

=> $\^ p _1 = 0.071$

Generally the second sample proportion is mathematically represented as

$\^ p _2 = \frac{k_2 }{ n_2 }$

=> $\^ p _2 = \frac{20 }{ 476}$

=> $\^ p _2 = 0.042$

The null hypothesis is $H_o : p_1 - p_2 = 0$

The alternative hypothesis is $H_a : p_1 - p_2 \ne 0$

Generally the test statistics is mathematically represented

$z = \frac{ \^ p_1 - \^ p_2 - ( p_ 1 - p_2 )}{ \sqrt{\frac{\^ p_1 (1-\^ p_1)}{ n_1 } + \frac{\^ p_2 (1-\^ p_2)}{ n_2 } } }$

=> $z = \frac{ 0.071 - 0.042 - 0 }{ \sqrt{\frac{0.071 (1-0.071)}{ 252 } + \frac{0.042 (1-\^ 0.042)}{ 476 } } }$

=> $z = 1.56$

From the z table the area under the normal curve to the right corresponding to 1.56 is

$P(Z > 1.56 ) =0.05938$

Generally the p-value is mathematically represented as

$p-value = 2 * P(Z > 1.56 )$

=> $p-value = 2 * 0.05938$

=> $p-value = 0.1188$

From the value obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

5 0

3 years ago

Is 0.11 repeating a rational number? Why or why not?

Ostrovityanka [42]

It is a terminating decimal because it doesn’t repeat Numbers back-and-forth

5 0

4 years ago

Which number line correctly shows -3-1.5?

Dmitry_Shevchenko [17]

Pretty sure it’s the 3rd

7 0

3 years ago

Read 2 more answers

An urn contains four colored balls: two orange and two blue. Two balls are selected at random without replacement, and you are t

kupik [55]

Answer:

0.2

Step-by-step explanation:

An urn contains 2 orange balls and 2 blue balls.

let O represent orange balls

Let B represent blue balls

Probability of at least one orange ball

P(O1) = 2/4 = 1/2

P(B1) = 2/4 = 1/2

After 1 blue ball has been drawn, we have 2 orange balls among the 3 remaining balls

P(O2|B1) = 2/3

After 1 orange ball has been drawn, we have 1 orange ball and 2 blue balls among the remaining 3 balls

P(O2|O1) = 1/3

P(B2|O1) = 2/3

Using general multiplication, we have

P(B1 n O2) = P(B1) * P(O2|B1)

= 1/2 * 2/3 = 1/3

P(O1 n O2) = P(O1) * P(O2|O1)

= 1/2 * 1/3 = 1/6

P(O1 n B2) = P(O1) * P(B2|O1)

= 1/2 * 2/3 = 1/3

P(at least one orange) = P(B1 n O2) + P(O1 n O2) + P(O1 n B2)

= 1/3 + 1/6 + 1/3

= 5/6

Using conditional probability

P(both orange | at least one orange) = P(both orange and at least one orange) / P(at least one orange)

= P(O1 n O2) / P(at least one orange)

= 1/6 / 5/6

= 1/5

= 0.2

4 0

3 years ago

Read 2 more answers

can someone give me a problem for a fraction division math problem? the problem core is 3 divided by 1/2

AURORKA [14]

-3x + 1/2=

Hope this helps

3 0

3 years ago