Hi! Lol I really need help-

In a city known for many tech start-ups, 311 of 800 randomly selected college graduates with outstanding student loans currently

Allushta [10]

Answer:

Null hypothesis: $p_{1} - p_{2}=0$

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

$z=\frac{0.389-0.418}{\sqrt{0.403(1-0.403)(\frac{1}{800}+\frac{1}{800})}}=-1.182$

$p_v =2*P(Z$

Comparing the p value with the significance level given $\alpha=0.05$ 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 say that we don't have significant difference between the two proportions.

Step-by-step explanation:

1) Data given and notation

$X_{1}=311$ represent the number college graduates with outstanding student loans currently owe more than $50,000 (tech start-ups)

$X_{2}=334$ represent the number college graduates with outstanding student loans currently owe more than $50,000 ( biotech firms)

$n_{1}=800$ sample 1

$n_{2}=800$ sample 2

$p_{1}=\frac{311}{800}=0.389$ represent the proportion of college graduates with outstanding student loans currently owe more than $50,000 (tech start-ups)

$p_{2}=\frac{334}{800}=0.418$ represent the proportion of college graduates with outstanding student loans currently owe more than $50,000 ( biotech firms)

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

2) 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: $p_{1} - p_{2}=0$

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 $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{311+334}{800+800}=0.403$

3) Calculate the statistic

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

$z=\frac{0.389-0.418}{\sqrt{0.403(1-0.403)(\frac{1}{800}+\frac{1}{800})}}=-1.182$

4) Statistical decision

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

$p_v =2*P(Z$

Comparing the p value with the significance level given $\alpha=0.05$ 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 say that we don't have significant difference between the two proportions.

6 0

3 years ago

Write each percent as a fraction in simplest form: <br> 45%<br> 62%<br> 68%<br> 2%

Olenka [21]

Percentages are really just fractions out of 100. So 45% is really just 45/100. If you want to find the lowest fractions, you have to break each number up into prime factors and see which overlap. So:

45 = 9x5
= 3 x 3 x 5
100 = 2 x 50
= 2 x 5 x 10
= 2 x 5 x 2 x 5

So 45/100 = 3x3x5/2x2x5x5

Now because there's a 5 on both sides, we can cancel down. If we do, that leaves us with

3x3/2x2x5

Which is 9/20

7 0

4 years ago

Read 2 more answers

One of the elephants in the zoo is on a special diet. Every day, the elephant eats the same amount of carrots that the rabbit ea

Naya [18.7K]

Answer:

1/3 kg.

Step-by-step explanation:

The ratio of the amount of carrots the elephant eats to the amount of carrots the rabbit eats in the same length of time is 365:1.

So if the total they both eat is 122 kg in one day, the rabbit eats 122 * 1/ 366

= 1/3 of a kg,

6 0

4 years ago

Find the sum (12p+9) + (4p-3) please help me

Lilit [14]

Answer:

16p + 6

Step-by-step explanation:

(12p + 9) + (4p - 3)

12p + 4p = 16p

9 + (-3) = 6

Answer: 16p + 6

4 0

3 years ago

Bro someone help please

Drupady [299]

Step-by-step explanation:

The domain is all the x values that are included in a function.

Here the x values are from -11 to 9.

So the domain is [-11,9]

4 0

2 years ago