Calculate length of x

It is believed that 44% of all Americans eat breakfast every day. For a class project, you randomly select Clemson students and

GaryK [48]

Answer:

For this case we want to conduct a test in order to see if the proportion of Clemson students who eat breakfast is different from 0.44 (alternative hypothesis). And the complement would represent the null hypothesis, and the system of hypothesis for this case are:

Null Hypothesis: $p =0.44$

Alternative hypothesis: $p \neq 0.44$

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

For this case we want to conduct a test in order to see if the proportion of Clemson students who eat breakfast is different from 0.44 (alternative hypothesis). And the complement would represent the null hypothesis, and the system of hypothesis for this case are:

Null Hypothesis: $p =0.44$

Alternative hypothesis: $p \neq 0.44$

8 0

3 years ago

A portion of the graph of f(x) = −x2 − 2x + 8 is shown. Which of the following describes all solutions for f(x)?

Naily [24]

Answer:

$(x,-x^2-2x+8)$ where −5 ≤ x ≤ 3

Step-by-step explanation:

The given function is $f(x)=-x^2-2x+8$ .

We want to select the option that describes all the solutions to the parabola.

The domain of the parabola is −5 ≤ x ≤ 3.

This means that any x=a on −5 ≤ x ≤ 3 that satisfies (a,f(a)), is a solution.

This can be rewritten as $(a,-a^2-2a+8)$

Therefore for x belonging to −5 ≤ x ≤ 3, all solutions are given by:

$(x,-x^2-2x+8)$ where −5 ≤ x ≤ 3.

7 0

3 years ago

HURRY PLEASE I NEED IT ASAP 15 POINTSS!!!!

expeople1 [14]

D shows equivalent expressions

3 0

2 years ago

Read 2 more answers

The standard deviation for actuary salaries has a standard deviation of $36,730 . You collect a simple random sample of n=36 sal

Yanka [14]

Using the z-distribution, it is found that the lower limit of the 95% confidence interval is of $99,002.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.