What is the value ??????? <br> Help!

Which pair of expressions is equivalent?

hodyreva [135]

T is the first one bc it is just look it up

6 0

4 years ago

4. Suppose P(A) = 0.48 and P(B) = 0.62. a. Can A and B be mutually exclusive? Why or why not. b. If A and B are independent, the

kenny6666 [7]

Answer:

Step-by-step explanation:

a) Two events A,B are said to be mutually exlusive if any of the following occurs.

- A and B have an empty intersection

- A= B^c and their union is the whole sample space

- P(A intersection B) =0

REcall the following formula

$P(A\cupB ) = P(A)+P(B)-P(A\cap B)$

Note that P(A) + P(B) = 1.1. Since the probability is always a number between 0 and 1, it must happen that $P(A\cap B) >0$ , otherwise, $A\cup B$ would have a probability greater than 1. Hence, A, B are not mutually exclusive.

b) by definition, if two events are indepent, we have that the probability of the intersection is equal to products of their probabilites. Or

$P(A\cap B) = P(A)P(B)$

c) Recall that if we have mutuallly exclusive events A, B, then we have that $P(A\cap B)=0$ , if they were independent, we would have the following

$P(A) P(B) =0$

which necesarilly implies that at least one of the two events has 0 probability. (THis is not the case)

7 0

4 years ago

Use the given information to find the p-value. Also, use a 0.05 significance level and state the conclusion about the null hyp

Hatshy [7]

Answer:

We can assume that the statistic is $z_{calc}=0.78$

$p_v = 2* P(z>0.78) = 0.435$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5

Step-by-step explanation:

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 3/5 or not.:

Null hypothesis: $p=3/5$

Alternative hypothesis: $p \neq 3/5$

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 $p_o$ .

Calculate the statistic

We can assume that the statistic is $z_{calc}=0.78$

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 bilateral test the p value would be:

$p_v = 2* P(z>0.78) = 0.435$

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5

7 0

3 years ago

What is the surface area of 6x1x8

Agata [3.3K]

48 because you multiply

5 0

3 years ago

Read 2 more answers

Select f(x) = 1/(1 - x).

Arte-miy333 [17]

Duck iimwisis is the time is the last day to a week or two or three days of February and February

3 0

4 years ago

What is the value ??????? Help!