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, $\alpha=0.05, n=48$

Construct and interpret a 95% confidence interval for the mean difference in scores on the two tests.

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,

$$\alpha = 0.025$$

How to construct $95\%$ confidence interval?

Use a calculator to find an approximation for $\left(\frac{1}{3}\right)^{9.8}$. Give as many digits as the calculator displays.

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

$$\alpha$$

and sample size n. Right-tailed test,

$$\alpha = 0.01, n = 33$$

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. Two-tailed test,

$$\alpha = 0.02$$

When every collision between reactants leads to a reaction, what determines the rate at which the reaction occurs?

Find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance $\alpha$. Two-tailed test, $n=31, \alpha=0.05$

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

$$\alpha$$

and sample size n. Two-tailed test,

$$\alpha = 0.05, n = 20$$

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,

$$\alpha = 0.01, n = 35$$

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,

$$\alpha = 0.08$$

A researcher claims that 62% of voters favor gun control. Assuming that a hypothesis test to reject this claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.
a)There is not sufficient evidence to warrant rejection of the claim that 62% of voters favor gun control.
b) here is not sufficient evidence to support the claim that 62% of voters favor gun control.
c) There is sufficient evidence to support the claim that more than 62% of voters favor gun control.
d)There is sufficient evidence to warrant rejection of the claim that 62% of voters favor gun control.

In exercise

(a) write the claim mathematically and identify $H_0$ and $H_a$.

(b) find the standardized test statistic z and its corresponding area.

(c) find the P-value.

(d) decide whether to reject or fail to reject the null hypothesis.

(e) interpret the decision in the context of the original claim.

In Illinois, a random sample of 85 eighth grade students has a mean score of 265 with a standard deviation of 55 on a national mathematics assessment test. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on the examination is more than 260. At $\alpha$ = 0.04 , is there enough evidence to support the administrator 's claim?