Two different creams are used to treat subjects with poison ivy irritation on both hands. Each subject is given a treatment of Ivy Ease on one hand while their other hand is treated with a placebo. The sample results are summarized in the table below. Use a 0.05 significance level to test the null hypothesis that the following two proportions are the same: (1) the proportion of subjects with relief on the hand treated with Ivy Ease and no relief on the hand treated with a placebo; (2) the proportion of subjects with no relief on the hand treated with Ivy Ease and relief on the hand treated with a placebo. Does the Ivy Ease treatment appear to be effective?

$$\begin{matrix} & \text{Treatment with Ivy Ease} & \text{Relief} & \text{No Relief}\\ \text{Placebo} & \text{Relief} & \text{12} & \text{8}\\ & \text{No relief} & \text{32} & \text{19}\\ \end{matrix}$$

Find the 17th term of each sequence. $a_{18}=18, d=-4$

Express each probability as a fraction reduced to lowest terms. you are dealt one card from a standard 52-card deck. Find the probability of being dealt a club.

Solve the equation by completing the square. Round to the nearest tenth if necessary.

$$x^2 + 4x = 6$$

The correlation between the number of visitors to the state of Florida and the number of shark attacks since 1990 is 0.946. Should the number of visitors to Florida be reduced in an attempt to reduce shark attacks? Explain your reasoning.

How to calculate degrees of freedom for a chi-square test?

Explain how to calculate degrees of freedom chi-square.

Solve each equation. Check your solution.

$$z - 19 = 34$$

What are degrees of freedom chi-square?

Both the forward reaction and the reverse reaction in the following equilibrium are believed to be elementary steps:

$$\mathrm { CO } ( g ) + \mathrm { Cl } _ { 2 } ( g ) \rightleftharpoons \operatorname { COCl } ( g ) + \mathrm { Cl } ( g )$$

At

$$25 ^ { \circ } \mathrm { C }$$

the rate constants for the forward and reverse reactions are

$$1.4 \times 10 ^ { - 28 } M ^ { - 1 } \mathrm { s } ^ { - 1 }$$

and

$$9.3 \times 10 ^ { 10 } \mathrm { M } ^ { - 1 } \mathrm { s } ^ { - 1 }$$

respectively. What is the value for the equilibrium constant at

$$25 ^ { \circ } \mathrm { C } ?$$

Find the value of k that would make the left side of each equation a perfect square trinomial. $25 x^{2}-k x+1=0$

draw a scatter diagram

$$\begin{array}{ccccccc}{X} & {0} & {1.2} & {1.8} & {2.3} & {3.5} & {4.1} \\ \hline Y & {2} & {6.4} & {7} & {7.3} & {4.5} & {2.4} \\ \hline\end{array}$$

Evaluate each determinant.

$$\left| \begin{array} { c c } { - 5 } & { - 1 } \\ { - 2 } & { - 7 } \end{array} \right|$$

Use Pascal’s Triangle to find the binomial coefficient. $_7C_2$