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Zinaida [17]
3 years ago
14

Using the textbook data set nlschools.csv, perform a hypothesis test to determine whether the proportion of students with langua

ge test scores greater than 37 is different for students from families of social-economic status at most 25 and students from families of social-economic status greater than 25. Perform the test at the α = 0.05 significance level.

Mathematics
1 answer:
Ket [755]3 years ago
7 0

Answer:

p-value is greater than 0.05, hence we accept the null hypothesis.

Step-by-step explanation:

See attached images

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The Ohio Department of Agriculture tested 203 fuel samples across the state
Rus_ich [418]

Answer:

\hat p = \frac{14}{105}= 0.133

And that represent the proportion of failures.

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475

0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185

The 99% confidence interval would be given by (0.0475;0.2185)

Step-by-step explanation:

Previous concept

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The proportion estimated would be:

\hat p = \frac{14}{105}= 0.133

And that represent the proportion of failures.

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475

0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185

The 99% confidence interval would be given by (0.0475;0.2185)

3 0
3 years ago
Read 2 more answers
A had $360 more than B. When A spent $144 and B spent half of his money, A had 6 times as much money as B, Find the ratio of the
Karolina [17]

Answer:

13:3

Step-by-step explanation:

A=x B=y

first; x= 360+y

later;x= 216+y

A:B

216+y: 1/2y = 6: 1

216+y/y÷2 =6/1

216+y = 3y

y = 108

first; x =360+y

360 +108

468

A:B = 468:108

13:3

3 0
3 years ago
NEED HELP!!!
AnnyKZ [126]

Answer:

see explanation

Step-by-step explanation:

(1)

\frac{6}{2} = \frac{4}{p} ( cross- multiply )

6p = 8 ( divide both sides by 6 )

p = \frac{8}{6} = \frac{4}{3}

(2)

\frac{n}{4} = \frac{8}{7} ( cross- multiply )

7n = 32 ( divide both sides by 7 )

n = \frac{32}{7}

(3)

\frac{5}{3} = \frac{x}{4} ( cross- multiply )

3x = 20 ( divide both sides by 3 )

x = \frac{20}{3}

6 0
3 years ago
Solve 4(x + 6) = 2(2x + 12)
Andru [333]

Answer:

Infinitely many solutions

Step-by-step explanation:

4(x+6)=2(2x+12)

4(x+6)=2(2(x+6))

4(x+6)=4(x+6)

Infinitely many solutions

3 0
2 years ago
Read 2 more answers
What is the answer for this question? 6x^2 - 35x + 49 ( factorising quadratics btw)
tino4ka555 [31]

Answer:

x=7/2  x=7/3

Step-by-step explanation:

5 0
3 years ago
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