Mathematics, 14.04.2020 17:20 lionessny6301

A researcher is interested in religious differences for immigration checkpoint experiences at airports. Polling a sample of 340 Muslims and 190 Christians, he finds that 52% of Muslims and 46% of Christians report having a negative experience. Is there a statistically significant difference between Muslims and Christians who report having a negative experience at airports (α=0.01)?

Answers: 1

Show answers

Answers

Answer from: durham953

$z=\frac{0.52-0.46}{\sqrt{0.49(1-0.49)(\frac{1}{340}+\frac{1}{190})}}=1.325$

p_v =2*P(Z1.325)= 0.185

Comparing the p value with the significance level given $\alpha=0.01$ 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 conclude that we have a significant difference between the two proportions of negative experiences at 1% of significance.

Step-by-step explanation:

Data given and notation

$n_{M}=340$ sample of Muslims

$n_{C}=190$ sample of Christians

$p_{M}=0.52$ represent the proportion of Muslims with negative experience

$p_{C}=0.46$ represent the proportion of christians with negative experience

z would represent the statistic (variable of interest)

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

$\alpha=0.01$ significance level given

Concepts and formulas to use

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

Null hypothesis: $p_{M} - p_{C}=0$

Alternative hypothesis: $p_{M} - p_{C} \neq 0$

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

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

Where $\hat p=\frac{p_{M}+p_{C}}{2}=\frac{0.52+0.46}{2}=0.49$

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:

$z=\frac{0.52-0.46}{\sqrt{0.49(1-0.49)(\frac{1}{340}+\frac{1}{190})}}=1.325$

Statistical decision

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

p_v =2*P(Z1.325)= 0.185

Answer from: Quest

b. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer: y=4x−16

hope i'm right

Will give brainiest which of the following equations represents a line that is parallel to the line

Answer from: Quest

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.

Another question on Mathematics

Mathematics, 21.06.2019 17:30

What does x = in this equation x+3+2x=x+5

Answers: 2

Answer

Mathematics, 21.06.2019 21:30

Taylor wants to paint his rectangular deck that is 41 feet long and 24 feet wide. a gallon of paint covers about 350 square feet. how many gallons of paint will taylor need to cover the entire deck? round your answers to two decimal places when necessary.

Answers: 1

Answer

Mathematics, 21.06.2019 22:30

Atotal of 766 tickets were sold for the school play. they were either adult tickets or student tickets. there were 66 more student tickets sold than adult tickets. how many adult tickets were sold?

Answers: 1

Answer

Mathematics, 21.06.2019 23:30

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.

Answers: 1

Answer

You know the right answer?

A researcher is interested in religious differences for immigration checkpoint experiences at airpor...

Questions

Mathematics, 12.06.2020 01:57

Which shows the correct steps for adding 6 1/4 and 3 5/16?...

Mathematics, 12.06.2020 01:57

If y varies directly as x and z, and y=8/3 when x=1 and z=4 find y when x=6 and z=3...

Mathematics, 12.06.2020 01:57

Which property is shown? If m ZABC = m ZCBD, then m ZCBD = m ZABCreflexive propertyO substitution propertysymmetric propertyt...