Is 3x-7xyz polynomial

To determine whether the proportions of U.S. households that owned two or more televisions is less than 83% or not let us perform a hypothesis test for single proportion.

Assumptions:

The sample size (n) selected by the local cable company is 300 which is quite large. Then according to the Central limit theorem the sampling distribution of sample proportion follows a normal distribution with mean p and standard deviation $\sqrt{\frac{p(1-p)}{n} }$ .

Since the sampling distribution of sample proportions follows a normal distribution use the z-test for one proportion to perform the test.

The hypothesis is:

$H_{0}$ : The proportion of U.S. households that owned two or more televisions is 83%, i.e. $p=0.83$

$H_{1}$ :The proportion of U.S. households that owned two or more televisions is less than 83%, i.e. $p< 0.83$

Decision Rule:

At the level of significance α = 0.05 the critical region for a one-tailed z-test is:

$\\ Z\leq -1.645\\$

**Use the z table for the critical values.

So, if $\\ Z\leq -1.645\\$ the null hypothesis will be rejected.

Test statistic value:

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

Here $\hat{p}$ is the sample proportion.

Compute the value of $\hat{p}$ as follows:

$\hat{p}=\frac{X}{n} \\=\frac{240}{300}\\ =0.80$

Now compute the value of the test statistic as follows:

$z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}\\=\frac{0.80-0.83}{\sqrt{\frac{0.83*(1-0.83)}{300} } } \\=-1.383$

The test statistic is -1.383 which is more than -1.645.

Thus, the test statistic lies in the acceptance region.

Hence we fail to reject the null hypothesis.

Conclusion:

At 0.05 level of significance we fail to reject the null hypothesis stating that the proportion of U.S. households that owned two or more televisions is 83%.

6 0

3 years ago

4) Solve the inequality: -10m>70

dlinn [17]

Answer:

m:-7.1 or greater

Step-by-step explanation:

Given function:

-10m>70

negative+negative=positive...

Find what is greater than 70 would be the correct match for m:

-10·-8=80
-10·-9=90
-10·-10=100

m=-7.1≥7.1

3 0

3 years ago

What is the value of x? Enter your answer in the box. x =

Dmitry [639]

Hi there!

FACT:

What you have there is an equilateral in which all three internal angles are congruent to each other and are each 60°.

STEPS TO ANSWER:

I'm not really sure if you are looking for the value of "X" the angle or the value of "x" that is part of the expression that represents the value of the angle "Z".

1. If you are looking for the value of "X" the angle, it's pretty easy knowing that all internal angles are equal to 60°.

Your answer for the value of "X" the angle would be : X = 60°.

2. If you are looking for the value of the "x" that is part of the expression that represents the value of the angle "Z", you'll need to write this expression as equal to 60 and solve the equation by isolating "x" :

2x - 4 = 60

Add 4 on each side of the equation → 60 + 4 = 64

2x = 64

Divide each side of the equation by 2 → 64 ÷ 2 = 32

x = 32

Your answer for the value of the "x" that is part of the expression that represents the value of the angle "Z" would be : x = 32.

There you go! I really hope this helped, if there's anything just let me know! :)

4 0

3 years ago