Improve Your Algebra Skills with Practice Problems

Test the claim that the proportion of people who own cats is significantly different than $50\mathrm{\%}$ at the 0.01 significance level. 
Based on a sample of 300 people, $41\mathrm{\%}$ owned cats 
Hint: Multiply to obtain the number of successes
$(\mathrm{\%}whoownedcats)(n)\to (41\mathrm{\%})(300)$ 
The test statistic is: ? (to 2 decimals) 
The p-value is: ? (to 4 decimals)

An eighth-grade class rolls a number cube with faces labeled 1 through 6.

The results of 50 rolls are recorded in the table below.

Find the relative frequency that a number less than 4 is rolled.

$\begin{array}{|ccccccc|}\hline \text{Outcome}& 11& 22& 33& 44& 55& 66\\ \text{Frequency}& 66& 44& 88& 1212& 1010& 1010\\ \hline\end{array}$

A number less than 4 was rolled $\times ?$.

The number cube was rolled $\times ?$.

The relative frequency of rolling a number less than 4 is $?\mathrm{\%}$.

${\displaystyle \frac{9}{4}}$,5 to $2,133:6,\frac{10}{3},20:7$ order ratio from least to greatest