Mathematics, 16.04.2020 01:05 skdfnkjsdfh

A new online test preparation company compared 3,025 students who had not used its program with 2,150 students who had. Of those students who did not use the online test preparation program, 1,513 increased their scores on the SAT examination compared with 1,100 who did use the program. A significance test was conducted to determine whether there is evidence that the online test preparation company's students were more likely to increase their scores on the SAT exam. What is the p-value for an appropriate hypothesis test

Answers: 1

Show answers

Answers

Answer from: KatieQ1

$z=\frac{0.512-0.500}{\sqrt{0.505(1-0.505)(\frac{1}{3025}+\frac{1}{2150})}}=0.851$

p_v =P(Z0.851)= 0.197

Comparing the p value with the significance level assumed $\alpha=0.05$ we see that $p_v\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can't say that the proportion of students who use the test increasse significantly the scores compared to the group who do not use the test.

Step-by-step explanation:

Data given and notation

$X_{1}=1513$ represent the number of students who had not used the program and increase the scores

$X_{2}=1100$ represent the number of students who had used the program and increase the scores

$n_{1}=3025$ sample of students who not ue the program

$n_{2}=2150$ sample of students who use the program

$p_{1}=\frac{1513}{3025}=0.500$ represent the proportion of students who had not used the program and increase the scores

$p_{2}=\frac{1100}{2150}=0.512$ represent the proportion of students who had used the program and increase the scores

z would represent the statistic (variable of interest)

p_v represent the value for the test (variable of interest)

$\alpha=0.05$ significance level given

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the online test preparation company's students were more likely to increase their scores on the SAT exam , the system of hypothesis would be:

Null hypothesis: $p_{2} - p_{1} \leq 0$

Alternative hypothesis: $p_{2} - \mu_{1} 0$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{2}-p_{1}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{2}}+\frac{1}{n_{1}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{1513+1100}{3025+2150}=0.505$

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.512-0.500}{\sqrt{0.505(1-0.505)(\frac{1}{3025}+\frac{1}{2150})}}=0.851$

Statistical decision

Since is a right tailed side test the p value would be:

p_v =P(Z0.851)= 0.197

Answer from: Quest

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option

Which rule describes the composition of transformations that map ∆def to ∆d"e"f"? (look at picture)<

Answer from: Quest

sorry not sure

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 16:00

Consider the reaction 2x2y2+z2⇌2x2y2z which has a rate law of rate= k[x2y2][z2] select a possible mechanism for the reaction.

Answers: 2

Answer

Mathematics, 22.06.2019 00:30

Officer brimberry wrote 32 tickets for traffic violations last week, but only 4 tickets this week. what is the percent decrease? give your answer to the nearest tenth of a percent.

Answers: 1

Answer

Mathematics, 22.06.2019 02:40

Perform the indicated operation and write the answer in the form a + bi. (-5 + 2) + (3 - 6i)

Answers: 3

Answer

Mathematics, 22.06.2019 04:00

Afew weeks ago, vera bought 5 apples from her local farmers' market. today, she bought 4 apples. what is the percent of decrease in the number of apples bought?

Answers: 1

Answer

You know the right answer?

A new online test preparation company compared 3,025 students who had not used its program with 2,15...

Questions