Solve for x: x2 = 16

Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing i

Nina [5.8K]

Answer:

$z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358$

$p_v =2*P(Z>5.358) = 4.2x10^{-8}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.

Step-by-step explanation:

Data given and notation

$X_{1}=253$ represent the number with no defects in sample 1

$X_{2}=196$ represent the number with no defects in sample 1

$n_{1}=300$ sample 1

$n_{2}=300$ sample 2

$p_{1}=\frac{253}{300}=0.843$ represent the proportion of number with no defects in sample 1

$p_{2}=\frac{196}{300}=0.653$ represent the proportion of number with no defects in sample 2

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 is there is a difference in the the two proportions, the system of hypothesis would be:

Null hypothesis: $p_{1} - p_2}=0$

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

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 $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{253+196}{300+300}=0.748$

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:

$z=\frac{0.843-0.653}{\sqrt{0.748(1-0.748)(\frac{1}{300}+\frac{1}{300})}}=5.358$

Statistical decision

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

$p_v =2*P(Z>5.358) = 4.2x10^{-8}$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.

5 0

4 years ago

Mirror and the three friends each had three over for food of they need it to have 5 feet of rope altogether. Do they have enough

BabaBlast [244]

Answer:

Do they have enough?

Nope, they don't have enough.

Step-by-step explanation:

They would not have enough because 3/4 times 4 would not equal 5...it would equal 3. Mario and his 3 friends each have 3/4 foot of rope. They needed 5 feet of rope altogether. Do they have enough rope? They would need 2 more feet of rope to complete the 5 feet. But they do not have enough feet of rope to make 5 feet.

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

:)

8 0

3 years ago

The table shows the relationship between the number of songs Alisha has purchased and the cost of her purchase. Find the rate of

Gre4nikov [31]

Answer:

whats the question

Step-by-step explanation:

4 0

3 years ago

Given 4 < x < 9 and 5 - y< 4 , where x and y are integers. Find the maximum value of x-y.

djyliett [7]

Answer:

You want to maximize x and minimize y

Maximum y = 8

Minimum y = 10

8-10= -2

7 0

2 years ago

A gumball machine has 260 red gumballs. If the red gumballs are 50% of the total number of gumballs, how many gumballs are in th

jek_recluse [69]

520
。・°°・(＞_＜)・°°・。(´∀｀=)

8 0

3 years ago