-2×-7y=30 <br>7×+4y=18 <br>×= <br>y=

Question 12(Multiple Choice Worth 1 points)

svlad2 [7]

Answer: The answer is the square root of 5.

Step-by-step explanation:

6 0

3 years ago

We are conducting a hypothesis test to determine if fewer than 80% of ST 311 Hybrid students complete all modules before class.

Juli2301 [7.4K]

Answer:

$z=\frac{0.881 -0.8}{\sqrt{\frac{0.8(1-0.8)}{110}}}=2.124$

Null hypothesis: $p\geq 0.8$

Alternative hypothesis: $p < 0.8$

Since is a left tailed test the p value would be:

$p_v =P(Z$

So the p value obtained was a very high value and using the significance level assumed $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

Be Careful with the system of hypothesis!

If we conduct the test with the following hypothesis:

Null hypothesis: $p\leq 0.8$

Alternative hypothesis: $p > 0.8$

$p_v =P(Z>2.124)=0.013$

So the p value obtained was a very low value and using the significance level assumed $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis.

Step-by-step explanation:

1) Data given and notation

n=110 represent the random sample taken

X=97 represent the students who completed the modules before class

$\hat p=\frac{97}{110}=0.882$ estimated proportion of students who completed the modules before class

$p_o=0.8$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v{/tex} represent the p value (variable of interest) 2) Concepts and formulas to use We need to conduct a hypothesis in order to test the claim that the true proportion is less than 0.8 or 80%: Null hypothesis:[tex]p\geq 0.8$

Alternative hypothesis: $p < 0.8$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.881 -0.8}{\sqrt{\frac{0.8(1-0.8)}{110}}}=2.124$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level assumed $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a left tailed test the p value would be:

$p_v =P(Z$

So the p value obtained was a very high value and using the significance level assumed $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

Be Careful with the system of hypothesis!

If we conduct the test with the following hypothesis:

Null hypothesis: $p\leq 0.8$

Alternative hypothesis: $p > 0.8$

$p_v =P(Z>2.124)=0.013$

So the p value obtained was a very low value and using the significance level assumed $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis.

5 0

4 years ago

v-10=-3 I don't get how this would get a negative answer I don't get it and my teacher sucks at explaining these so plz help!!!!

o-na [289]

V-10=-3

add 10 by both sides (opposite of -10)

v= 7

6 0

4 years ago

PLEASE HELP I HAVE PICTURE!!!

ludmilkaskok [199]

3rd option: $-\frac{1}{2} < t \leq 3$ is the correct answer

Step-by-step explanation:

First of all, we have to observe the number line

Observing the number line we can see that the number -0.5 or -1/2 is not included in the solution as the circle on -1/2 is empty. An empty circle means that the number is not included in the solution.

While on the other side we can see that 3 has a filled circle which means 3 is included in the solution

This means that the solution might be:

$t>-0.5\\and\\t \leq 3$

By comparing the observation and the answer choices we can conclude that

3rd option: $-\frac{1}{2} < t \leq 3$ is the correct answer

Keywords: Inequalities, solution

Learn more about inequalities at:

#LearnwithBrainly

4 0

3 years ago

Find the A.P whose second term is 12 and 7th term exceeds the 4th by 15

Art [367]

The 2nd term exists 12 and 7th term exceeds the 4th by 15 exists AP : 7,12,17,....

<h3>How to estimate the arithmetic progression?</h3>

Given : The second term exists 12th and the 7th term exceeds the 4th term by 15

The formula of the nth term :

$$a_{n}=a+(n-1) d$

Where d exists a common difference

n be the number of terms

a be the first term

Substitute the value of n = 2

$$a_{2}=a+(2-1) d=a+d$

Let, the second term exists 12

So, a + d = 12 ..........(1)

Substitute the value of n = 7

$$a_{7}=a+(7-1) d=a+6 d$

Substitute n = 4

$$a_{4}=a+(4-1) d=a+3 d$

We are given that the 7th term exceeds the 4th term by 15

So, a+6d-a-3d = 15

3d = 15

d = 5

Substitute the value of d in (1)

So, a+5 = 12

a = 12-5

a = 7

AP : a,a+d,a+2d,.... = 5, 7+5, 7+2(5),....=7,12,17,....

Therefore, AP : 7,12,17,....

To learn more about arithmetic progression refer to:

brainly.com/question/24191546

#SPJ9

4 0

2 years ago

-2×-7y=30 7×+4y=18 ×= y=​

-2×-7y=30 7×+4y=18 ×= y=