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Alla [95]
1 year ago
15

Which of the following is NOT true when testing a claim about a​ proportion? Choose the correct answer below. A. Both the tradit

ional method and​ P-value method use the same standard deviation based on the claimed proportion​ p, but the confidence interval uses an estimated standard deviation based on the sample proportion ModifyingAbove p with caretp. B. When testing claims about population​ proportions, the traditional method and the​ P-value method are equivalent in the sense that they always yield the same result. C. A conclusion based on a confidence interval estimate will be the same as a conclusion based on a hypothesis test. D. If you want to test a claim about population​ proportions, use the​ P-value method or the classical method of hypothesis testing.
Mathematics
1 answer:
morpeh [17]1 year ago
5 0

Answer: C. A conclusion based on a confidence interval estimate will be the same as a conclusion based on a hypothesis test.

Explanation: The One-Sample Proportion Test is used to assess whether a population proportion (P1) is significantly different from a hypothesized value (P0). This procedure calculates sample size and statistical power for testing a single proportion using either the exact test or other approximate z-tests.

To write a null hypothesis, first, start by asking a question. Rephrase that question in a form that assumes no relationship between the variables. In other words, assume a treatment has no effect. Write your hypothesis in a way that reflects this.

A null hypothesis is a hypothesis that says there is no statistical significance between the two variables. It is usually the hypothesis a researcher or experimenter will try to disprove or discredit. An alternative hypothesis is one that states there is a statistically significant relationship between two variables.

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In a sample of 100 steel canisters, the mean wall thickness was 8.1 mm with a standard deviation of 0.5 mm. Someone says that th
Travka [436]

Answer:

This statement can be made with a level of confidence of 97.72%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8.1 mm

Standard Deviation, σ = 0.5 mm

Sample size, n = 100

We are given that the distribution of thickness is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling:

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.5}{\sqrt{100}} = 0.05

P(mean thickness is less than 8.2 mm)

P(x < 8.2)

P( x < 8.2)\\\\ = P( z < \displaystyle\frac{8.2 - 8.1}{0.05})\\\\ = P(z < 2)

Calculation the value from standard normal z table, we have,  

P(x < 8.2) =0.9772 = 97.72\%

This statement can be made with a level of confidence of 97.72%.

8 0
2 years ago
By visual inspection, determine the best fitting regression model for the data below
AVprozaik [17]

Answer:

A) Quadratic

Step-by-step explanation: It has the U shape of a parabola which a quadratic equation has.

7 0
1 year ago
Read 2 more answers
Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of
Gelneren [198K]

Answer:

a

   P(X <  24 )=  21.186\%  

b

    x =  19.78 \  months

Step-by-step explanation:

From the question we are told that

 The mean is   \mu  =  26 \  months

 The standard deviation is  \sigma  =  4 \  months

 Generally 2 year is  equal to  24 months

Generally the percentage of total production will the company expect to replace is mathematically represented as

      P(X <  24 )=  P(\frac{X - \mu }{ \sigma} <  \frac{24 - 26}{4}  )

Generally  \frac{X - \mu}{\sigma } =Z (The  \ standardized \  value  \  of  \  X )

     P(X <  24 )=  P(Z <  -0.8  )

Generally from the z-table  

       P(Z <  -0.8) =  0.21186

So

       P(X <  24 )=  0.21186

Converting to percentage

      P(X <  24 )=  0.21186  * 100

=>    P(X <  24 )=  21.186\%  

Generally the duration that should be the guarantee period if  Accrotime does not want to make refunds on more than 6% is mathematically evaluated as

    P(X <  x) =  P(\frac{X - \mu }{\sigma}  < \frac{x - 26}{4} )= 0.06

=> P(X <  x) =  P(Z < \frac{x - 26}{4} )= 0.06

From the normal distribution table the z-score for  0.06 at the lower tail  is

       z = -1.555

So

    \frac{x - 26}{4} = -1.555

=> x =  19.78 \  months  

6 0
1 year ago
Linear Pairs and Vertical Angles
goblinko [34]

Answer:

angles 1 and 3 are 29 degrees

angles 2 and 4 are 151 degrees

Step-by-step explanation:

make angles 1 and 3 equal echo there and solve for x

use x to find the angle

3 0
2 years ago
Find the volume of a pyramid 5 yards tall if the base is a rectangle 15 feet by 6 feet.
BaLLatris [955]
V=lwh/3=5*15*6/3=160
3 0
2 years ago
Read 2 more answers
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