How do you simpllify x=41

A TV station claims that 38% of the 6:00 - 7:00 pm viewing audience watches its evening news program. A consumer group believes

Elena L [17]

Answer:

$z=\frac{0.340 -0.38}{\sqrt{\frac{0.38(1-0.38)}{830}}}=-2.374$

$p_v =P(Z$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of people that regularly watch the TV station’s news program is significantly less than 0.38 .

Step-by-step explanation:

1) Data given and notation

n=830 represent the random sample taken

X=282 represent the people that regularly watch the TV station’s news program

$\hat p=\frac{282}{830}=0.340$ estimated proportion of people that regularly watch the TV station’s news program

$p_o=0.38$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ 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 proportion is less than 0.38:

Null hypothesis: $p\geq 0.38$

Alternative hypothesis: $p < 0.38$

When we conduct a proportion test we need to use the z statisitc, 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:

$z=\frac{0.340 -0.38}{\sqrt{\frac{0.38(1-0.38)}{830}}}=-2.374$

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 provided $\alpha=0.05$ . 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 low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of people that regularly watch the TV station’s news program is significantly less than 0.38 .

3 0

3 years ago

What is the correlation coefficient for the set of data? Round Your answer to the nearest thousandth.

Alla [95]

Even if you don't solve for the correlation coefficient, you can already solve this by process of elimination and inspection. The correlation coefficient has a positive value, therefore, it's not D. Looking at the data, you can see a trend in the values; as one data increases, the other increases as well. Therefore, the dependency of the variables is strong and the correlation coefficient must be close to 1. So, the answer is B.

6 0

4 years ago

Read 2 more answers

Tonys three years less than twice Joan’s age Tonys 27 years old how old is Joan

Oduvanchick [21]

Answer:

joan is 15

Step-by-step explanation:

27+3=30

30÷2=15

5 0

3 years ago

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When is a *-m/n* a real number? *superscript

Aleksandr [31]

Since real numbers are closed with respect to division (i.e. the division between two real numbers is again a real number), the fraction $-\frac{m}{n}$ is a real number everytime both m and n are real numbers.

In other words, you can choose any real number m and any real number n, and their ratio will still be a real number.

Of course, you have to follow the only rule that you can't divide by zero, so the answer is more precisely

$m \in \mathbb{R},\quad n \in \mathbb{R}\setminus\{0\}$

4 0

4 years ago

Plz help its due tonight!!!!

Natalka [10]

Answer:

Domain is (infinity, infinity) so it would hit every single number of x. The range which is y would be greater than or equal to -3. Range starts at -3 and hits every number above that.

8 0

3 years ago