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3 years ago

3. There are 16 kids at Don's birthday party. Each kid will get 1/2 of a brownie. How many brownies

Mathematics

1 answer:

timofeeve [1]3 years ago

4 0

Answer:

Step-by-step explanation:

16×(1÷2) = 16÷2 = 8

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The government of Preon (a small island nation) was voted in at the last election with 58% of the votes. That was 2 years ago, a

mel-nik [20]

Answer:

a) $z=\frac{0.684 -0.58}{\sqrt{\frac{0.58(1-0.58)}{114}}}=2.250$

b) $p_v =2*P(z>2.250)=0.0244$

If we compare the p value and the significance level given we see that $p_v$ we have enough evidence to reject the null hypothesis at 5% of significance.

Step-by-step explanation:

Data given and notation

n=114 represent the random sample taken

$\hat p=0.684$ estimated proportion of people that their approval rating might have changed

$p_o=0.58$ 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)

Hypothesis

We need to conduct a hypothesis in order to test the claim that true proportion of people that their approval rating might have changed is 0.58 or no.:

Null hypothesis: $p=0.58$

Alternative hypothesis: $p \neq 0.58$

Part a

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Calculate the statistic

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

$z=\frac{0.684 -0.58}{\sqrt{\frac{0.58(1-0.58)}{114}}}=2.250$

Part b: Statistical decision

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:

$p_v =2*P(z>2.250)=0.0244$

If we compare the p value and the significance level given we see that $p_v$ we have enough evidence to reject the null hypothesis at 5% of significance.

7 0

3 years ago

75% of what equals 30

poizon [28]

Answer:

30 is 75% of 40

Step-by-step explanation:

We have, 75% × x = 30 or, 75/100 x = 30. Multiplying both sides by 100 and dividing both sides by 75, x = 40.

And if you are using a calculator, simply enter 30×100÷75, which will give you the answer.

7 0

2 years ago

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