30 subtracted from 4 times a number is greater than the opposite of 10

A recent broadcast of a television show had a 10 share, meaning that among 6000 monitored households with TV sets in use, 10%

Kisachek [45]

Answer:

Null and alternative hypothesis

$H_0: \pi \geq0.25\\\\H_1: \pi$

Test statistic $z=-26.82$

P-value $P=0$

The null hypothesis is rejected.

It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.

Step-by-step explanation:

We have to perform a hypothesis test of a proportion.

The claim is that less than 25% were tuned into the program, so we will state this null and alternative hypothesis:

$H_0: \pi \geq0.25\\\\H_1: \pi$

The signifiance level is 0.01.

The sample has a proportion p=0.1 and sample size of n=6000.

The standard deviation of the proportion, needed to calculate the test statistic, is:

$\sigma_p=\sqrt{\frac{\pi(1-\pi)}{N} } =\sqrt{\frac{0.25(1-25)}{6000} } =0.0056$

The test statistic is calculated as:

$z=\frac{p-\pi+0.5/N}{\sigma_p} =\frac{0.1-0.25+0.5/6000}{0.0056}=\frac{-0.1499}{0.0056} =-26.82$

As this is a one-tailed test, the P-value is P(z<-26.82)=0. The P-value is smaller than the significance level (0.01), so the effect is significant.

Since the effect is significant, the null hypothesis is rejected. It is concluded that the proportion of households tuned into the program is less than 25%. The claim of the advertiser is rigth and got statistical support.

3 0

3 years ago

Floor tile costs $11 per square yard. how much will it cost to tile a bathroom that is 90 square feet?

Genrish500 [490]

To calculate for the equivalent price in units of per square feet, we need to convert the given units from per square yard to per square feet. We calculate as follows:

<span>$11 per square yard ( 1 yard per 3 feet )^2 = $0.14 per square feet

90 square feet (</span>$0.14 per square feet) = $12.22

3 0

3 years ago

Help, this is for my exam

spayn [35]

Answer: Sorry this took so long, here is the photo

Solve for z by simplifying both sides of the equation, then isolating the variable.

6 0

3 years ago

Somebody please answer these if your good at math and find the slope please ... due inna hour..

saveliy_v [14]

Answer:

See below

Step-by-step explanation:

Find a point on the line where it touches a gridpoint and start from there. Slope is defined as rise/run, so from that point you either go up or down for rise, and left or right for run to find another point closest where the line touches a gridpoint.
A graph with a slope that looks like \ will be negative and a slope that looks like / will be positive

5. 3/2

6. Undefined

7. 7/2

8. 3/6 simplifes to 1/2

9. -1/3

10. -2/3

Please consider marking brainliest :) I can correct mistakes if needed.

6 0

2 years ago

What are the solutions of the equation x4 + 95x2 – 500 = 0? Use factoring to solve.

Ivanshal [37]

Answer:

{√5, 10i, -10i}

Step-by-step explanation:

Please use " ^ " to denote exponentiation:

x^4 + 95x^2 – 500 = 0

Temporarily substitute y for x^2:

y^2 + 95y - 500 = 0

Factor this result:

y^2 + 95y - 500 = 0 = (y + 100)(y - 5)

Set each of these factors = to 0 and solve for y:

y + 100 = 0, or y = -100. Returning to x^2 = y, we get x^2 = -100. The square root of a negative number is imaginary, so we must omit this possible answer.

y - 5 = 0 yields y = 5, and, in turn, 5 = x^2. Thus, taking only the positive root, we get x = √5.

The solution to the given equation is x = √5.

If you want the imaginary roots also, then:

Take the square root of both sides of x^2 = -100, obtaining:

x = ± i(10).

In summary, the solution set (if imaginary solutions are acceptable) is

{√5, 10i, -10i}

7 0

3 years ago

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