To mix plaster for a dental model, 45 milliliters (mL) of water are used for 100 grams (g) of plaster. How many milliliters (mL)

of water should be used for 250 grams (g) of plaster?

Mathematics

1 answer:

Tomtit [17]3 years ago

6 0

$\begin{array}{ccc}45\ ml&-&100\ g\\\\x\ ml&-&250\ g\end{array}\ \ \ |cross\ multiply\\\\\\100\cdot x=45\cdot250\\\\100x=11,250\ \ \ |divide\ both\ sides\ by\ 100\\\\\huge\boxed{x=1,125\ (ml)}$

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Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.2 significance level. The

sattari [20]

Answer:

C. H0 : p = 0.8 H 1 : p ≠ 0.8

The test is:_____.

c. two-tailed

The test statistic is:______p ± z (base alpha by 2) $\sqrt{\frac{pq}{n} }$

The p-value is:_____. 0.09887

Based on this we:_____.

B. Reject the null hypothesis.

Step-by-step explanation:

We formulate null and alternative hypotheses as proportion of people who own cats is significantly different than 80%.

H0 : p = 0.8 H 1 : p ≠ 0.8

The alternative hypothesis H1 is that the 80% of the proportion is different and null hypothesis is , it is same.

For a two tailed test for significance level = 0.2 we have critical value ± 1.28.

We have alpha equal to 0.2 for a two tailed test . We divided alpha with 2 to get the answer for a two tailed test. When divided by two it gives 0.1 and the corresponding value is ± 1.28

The test statistic is

p ± z (base alpha by 2) $\sqrt{\frac{pq}{n} }$

Where p = 0.8 , q = 1-p= 1-0.8= 0.2

n= 200

Putting the values

0.8 ± 1.28 $\sqrt{\frac{0.8*0.2}{200} }$