Mathematics, 07.04.2020 20:07 SunsetPrincess

In an effort to test the hypothesis that the proportion of voters in the younger than 40 year old age bracket who will vote for a particular politician is different than the proportion voters in the above 40 age bracket, the following data was collected. The test statistics (z-score) of the test hypothesis at 0.10 level of significance would be___. (Specify your answer to the 2nd decimal.) Population Number Who Will Vote for Politician Sample Size Below 40 348 700 Above 40 290 650

Answers: 2

Show answers

Answers

Answer from: austinross363

$z=\frac{0.497-0.446}{\sqrt{0.473(1-0.473)(\frac{1}{700}+\frac{1}{650})}}=1.88$

p_v =2*P(Z1.88)=0.0601

Comparing the p value with the significance level given $\alpha=0.1$ we see that p_v so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportions analyzed are significantly different.

Step-by-step explanation:

Data given and notation

$X_{1}=348$ represent the number of people Who Will Vote for Politician below 40

$X_{2}=290$ represent the number of people Who Will Vote for Politician above 40

$n_{1}=700$ sample below 40

$n_{2}=650$ sample above 40

$p_{1}=\frac{348}{700}=0.497$ represent the proportion estimated for Who Will Vote for Politician below 40

$p_{2}=\frac{290}{650}=0.446$ represent the proportion estimated for Who Will Vote for Politician above 40

$\hat p$ represent the pooled estimate of p

z would represent the statistic (variable of interest)

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

$\alpha=0.1$ significance level given

Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference between the two proportions, the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

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

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

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{348+290}{700+650}=0.473$

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:

$z=\frac{0.497-0.446}{\sqrt{0.473(1-0.473)(\frac{1}{700}+\frac{1}{650})}}=1.88$

Statistical decision

Since is a two sided test the p value would be:

p_v =2*P(Z1.875)=0.0601

Answer from: Quest

is there answer choices?

Answer from: Quest

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

ask for details followreport by buttfacelily 2 minutes ago

answers

rauschg

rauschg · hand

know the answer? add it here!

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 14:00

Plzzzzzzzzzzzzzzzzzzzzzzzzz will give brainliest

Answers: 2

Answer

Mathematics, 21.06.2019 16:00

Answer asap ! the shortest path from point a to point b goes through a pond. to avoid the pond, you must walk straight 34 meters along one edge of the pond, then take a 90 degree turn, and again walk straight 41 meters along another edge of the pond to reach point b. about how many meters would be saved if it were possible to walk through the pond? a. 11 m b. 20 m c. 30.45 m d. 21.73 m

Answers: 1

Answer

Mathematics, 22.06.2019 00:30

y=2x−1 5x−4y=1 is (1,1)(1,1) a solution of the system?

Answers: 3

Answer

Mathematics, 22.06.2019 03:00

Pranav and molly are selling pies for a school fundraiser. customers can buy blueberry pies and pumpkin pies. pranav sold 6 blueberry pies and 4 pumpkin pies for a total of $106. molly sold 6 blueberry pies and 3 pumpkin pies for a total of $90. find the cost of each of one blueberry pie and one pumpkin pie

Answers: 2

Answer

You know the right answer?

In an effort to test the hypothesis that the proportion of voters in the younger than 40 year old ag...

Questions

Mathematics, 14.09.2020 15:01

Is √7.25 a irrational number...