Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject

$$H _ { 0 }$$

for the level of significance

$$\alpha$$

. Right-tailed test z = 2.46

$$\alpha = 0.01$$

Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject

$$H _ { 0 }$$

for the level of significance

$$\alpha$$

. Two-tailed test,

$$z = 2.57, \alpha = 0.10$$

Sketch a sinusoidal function that passes through (0, -4) and has a period of 20, an amplitude of 3, and an equation of the axis y = -1.

Find the P-value for the indicated hypothesis test with the given standardized test statistic z. Decide whether to reject $H_0$ for the given level of significance $\alpha$.

Left-tailed test, z=-1.20 $\alpha=0.10$

Perform the addition or subtraction and write the result in standard form. $-(-3.7-12.8 i)-(6.1-16.3 i)$

Find the P-value for the indicated hypothesis test with the given standardized test statistic z. Decide whether to reject $H_0$ for the given level of significance $\alpha$.

Right-tailed test, z=2.34, $\alpha=0.01$

Find the critical value(s) and rejection region(s) for the type of z-test with level of significance

$$\alpha$$

. Include a graph with your answer. Right-tailed test,

$$\alpha = 0.05$$

Determine the critical value for a left-tailed test regarding a population proportion at the $\alpha=0.1$ level of significance.

Find the critical value(s) and rejection region(s) for the type of t-test with level of significance

$$\alpha$$

and sample size n. Left-tailed test,

$$\alpha = 0.10, n = 20$$

Simplify each expression. $$ 5\( ( - 12 ) ( - 3 ) ( - 1 ) $$

Veronica wanted to know how many students in the sophomore class at her school learned a language other than English as their first language. There were 450 sophomores in the sophomore class, too many for Veronica to question each of them, so she prepared 50 questionnaires to distribute to some of the students in the class. Describe how Veronica could create a simple random sample of 50 students from the sophomore class in two different manners, without using technology.

Write the quadratic function in vertex form. Then identify the vertex. y = x² - 4x + 7

Graph each function, either by translating the graph of

$$y = \sqrt { x }$$

or by making a table of values.

$$y = \sqrt { x + 7 }$$

Choose the word that is not related in meaning to the other words. impartial, uneasy, nonpartisan, unbiased