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Novay_Z [31]
3 years ago
10

Find the value of x.​

Mathematics
2 answers:
avanturin [10]3 years ago
8 0

Answer:

d

Step-by-step explanation:

krok68 [10]3 years ago
7 0

Answer:

c

Step-by-step explanation:

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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
1/4x+4is greater than or equal to 3
goldfiish [28.3K]

1/4x+4is greater than or equal to 3


1/4x=>-4+3


1/4x=>-1


(4)1/4x=>-1(4)


X=> -4

5 0
3 years ago
Which inequality is NOT true if y= -5​
MatroZZZ [7]

Answer:

2y -10 > 13

Step-by-step explanation:

3 0
3 years ago
Find x and y intercept of this equation Y = 2/3x+1
amid [387]

Answer:

x intercepts(-3/2,0)

y intercepts(0,-1)

Step-by-step explanation:

6 0
3 years ago
What is 5/9 multiplied by 4 1/2
AlekseyPX
4 1/2 = 9/2

5/9 x 9/2 = 45/18
5 0
3 years ago
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