5. What is an equation of the line that contains the point (-1,4) and has a

when you're dividing fractions you only flip the numbers around and multiply them if the numerator is higher than the denominato

Whitepunk [10]

Answer:

Step-by-step explanation:

Actually, when dividing fractions, you always flip the second fraction and multiply, no matter the size of the numerator or denominator.

6 0

2 years ago

3T= _______lbs

sveticcg [70]

Answer:

Step-by-step explanation:

Hope it is helpful...

3 0

2 years ago

Mason plays a game by flipping two fair coins. He wins the game if both coins land facing heads up. If Mason plays 200 times, ho

aev [14]

Answer:

Total no.of possible outcomes = 200 × 4 = 800

No.of favourable outcomes = 200 × 1 = 200

P (E) = no.of favourable outcomes / total no.of possible outcomes

= 200/800

= 1/4

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2 years ago

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Help....................

Romashka-Z-Leto [24]

Answer:

The interquartile range is 50.

Step-by-step explanation:

To find our answer we have to first quartile 1 and quartile 3 are equal too. When we look at the plot quartile 1 is equal to 20, quartile 3 is equal to 70 because it is in between 60 and 80. Now to find the interquartile range we will subtract 70 from 20 and we get 50. Therefore, 50 is our answer.

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2 years ago

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The number of events is 29, the number of trials is 298, the claimed population proportion is 0.10, and the significance leve

Nina [5.8K]

Answer:

$z=\frac{0.0973 -0.1}{\sqrt{\frac{0.1(1-0.1)}{298}}}=-0.155$

$p_v =2*P(Z$

And we can use excel to find the p value like this: "=2*NORM.DIST(-0.155;0;1;TRUE)"

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 proportion of interest is not significantly different from 0.1 .

Step-by-step explanation:

1) Data given and notation

n=298 represent the random sample taken

X=29 represent the events claimed

$\hat p=\frac{29}{298}=0.0973$ estimated proportion

$p_o=0.1$ 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 0.1 or no.:

Null hypothesis: $p=0.1$

Alternative hypothesis: $p \neq 0.1$

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 $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.0973 -0.1}{\sqrt{\frac{0.1(1-0.1)}{298}}}=-0.155$

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 next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(Z$

And we can use excel to find the p value like this: "=2*NORM.DIST(-0.155;0;1;TRUE)"

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 proportion of interest is not significantly different from 0.1 .

We can do the test also in R with the following code:

> prop.test(29,298,p=0.1,alternative = c("two.sided"),conf.level = 1-0.05,correct = FALSE)

7 0

2 years ago