Six times a number h

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

Peyton has 2 pizzas. Each pizza is cut into 10 equal slices. She and her friends eat 14 slices. What part of the pizzas they eat

RideAnS [48]

Well, each pizza is cut into 10 slices, that means both pizzas are 10+10 slices, or 20 slices, then they ate 14 of those 20 slices.

so they ate 14 out of 20, or 14/20, which simplifies to 7/10.

7 0

4 years ago

Please help me with this

alexdok [17]

Answer:

Step-by-step explanation:

Let's set this first one really carefully.

First of all, you were told by someone on the last sheet that you put one set of numbers with the same units on one side.

The other set of numbers goes on the other sided.

A proportion can never have more than 4 numbers, at least not at this level.

So let's start with the percents on one side

There's 80% and 100%. We'll put them on the left side.

80%

====

100%

Now we put an equal sign in.

80%

=== =

100%

Now you need the number of questions. One of the number of questions you don't know. Which one? It turns out that you don't know how many she got right. So let the number she got right = x

Now you have a choice. Which way do you write the proportion. Choice one is

x

==

20

or is it

20

===

x

?

The answer is the total number of questions (20) goes straight across from 100. 100% of the questions is equal to 20.

So the proportion is

80 x

== = ====

100 20

Now I wonder if you know what to do from here? This is a question you will have to answer for me. But the next step is to cross multiply.

Rule: Upper Left * Lower Right = lower left * Upper Right.

Always true. Always done for every question.

80 * 20 = 100 * x Multiply out the left

1600 = 100 * x Divide by 100

1600/100 = x Do the division

16 = x

In other words. There were 16 questions she got right.

Two

You have a wonderful guide for teaching this. This question is of paramount importance.

The percents are known. 90% and 100%. Same as above.

So the left side of the proportion is known.

90

==

100

We again, just as in the last question have to find a number. A crew contains 30 people. That's 90% or 100%, which? Think carefully before reading on.

If you thought it was 90%, you would be incorrect. 30 people represents everyone. So the second side is

x

==

30

or

30

==

x

Again the 30 goes opposite the 100

So x must be what 90% represents in number of people

The proportion is

90 x

=== = ===

100 30

We are not looking for a %. We have both of them. We aren't looking for the whole. We know that's 30

Answer: So must be looking for a partial.

Three

You know what the whole is (or should). It is the starting price of the handbag which is 72 dollars.

You know what 100% of the handbag is (72 dollars)

You know what the "part" of the whole is 21.60

So you must be looking for the % which is the unknown.

x 21.60

== = ===

100 72.

Four

I'd like to leave 4. PM me about a possible answer.

3 0

3 years ago

Which expression is equivalent to 3(8 + 7)? 24 + 7 24 + 21 11 + 10 11 + 7

Bumek [7]

Multiply 3&8 and 3&7, this expands it to 24 + 21.

8 0

3 years ago

Read 2 more answers

A certain family can afford a monthly mortgage payment of $1,340.00. With an APR of 5.25% per annum, what is the maximum mortgag

irina [24]

Answer:

$198,859.03

Step-by-step explanation:

The amortization formula is good for this. Fill in the given numbers and solve for the unknown.

A = P(r/n)/(1 -(1 +r/n)^(-nt))

where A is the monthly payment, P is the principal amount of the loan, r is the annual interest rate, n is the number of times per year interest is compounded, and t is the number of years.

1340.00 = P(0.0525/12)/(1 -(1 +0.0525/12)^(-12·20)) ≈ 0.00673844·P

P ≈ 1340/0.00673844 ≈ $198,859.03

The family can afford a loan for $198,859.

4 0

3 years ago