What is the volume of the composite

Chose the correct equation type for each system WILL MARK BRAINLIEST!!!!!!!!!

vichka [17]

Graph? heidgdisdvhdhdhdvd

6 0

2 years ago

A genetic experiment involving peas yielded one sample of offspring consisting of 409 green peas and 171 yellow peas. Use a 0.05

grigory [225]

The usual expectation for this kind of experiment is that the peas would yield green and yellow peas in a 3:1 ratio, or 75% green to 25% yellow. So your null hypothesis is that the proportion of yellow peas is $p=0.25$ .

You're testing the claim that 26% of the offspring will be yellow, which means the alternative hypothesis is that the proportion of yellow peas is actually 0.26, or more generally that the expected proportion is greater than 0.25, or $p>0.25$ .

The test statistic in this case will be

$Z=\dfrac{\hat p-p_0}{\sqrt{\dfrac{p_0(1-p_0)}n}}$

where $p_0$ is the proportion assumed under the null hypothesis, $\hat p$ is the measured proportion, and $n$ is the sample size. You have $p_0=0.25$ , $\hat p=\dfrac{171}{171+409}\approx0.29$ , and $n=409+171=580$ , so the test statistic is

$Z=\dfrac{0.29-0.25}{\sqrt{\dfrac{0.25\times0.75}{580}}}\approx2.2247$

Because you're testing $p>p_0$ , this is a right-tailed test, so the P-value is

$\mathbb P(Z>2.2247)\approx0.0131$

The critical value for a right-tail test at a 0.05 significance level is $Z_\alpha\approx1.6449$ , which means the rejection region is any test statistic that is larger than this critical value. Since $Z>Z_\alpha$ in this case, we reject the null hypothesis.

So the conclusion for this test is that the sample proportion is indeed statistically significantly different from the proportion suggested by the null hypothesis.

8 0

3 years ago

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Aisha made bracelets for a craft fair. She spent $29.75 on supplies to make the bracelets. Each bracelet cost her about $0.85 to

Alchen [17]

Amount of money Aisha receive from selling all of the bracelets is $33.25.

<u>Step-by-step explanation:</u>

In this question, its given that Aisha made bracelets for a craft fair. She spent $29.75 on supplies to make the bracelets. Each bracelet cost her about $0.85 to make. Aisha sells each bracelet for $0.10 more than it cost her to make. Let's calculate Number of bracelets Aisha made as $\frac{total-cost}{cost-of-one-bracelet}$ .