Find the P$-$value for the left tailed hypothesis test with test statistic $z=-1\mathrm{.}25.$ Decide whether to reject $H_0$ if the level of significance is $=0\mathrm{.}05$

A$.$ Since $P,$ reject $H_0$

B$.$ Since $P,$ fail to reject $H_0$

C$.$ Since $P,$ reject $H_0$

D$.$ Since $P,$ fail to reject $H_0$

Use the following claim for questions $29-30$

An amusement park claims that the mean daily attendence is at most $18,000$ people

$29.$ Choose the correct null and alternate hypothesis below

A$.H_0$:

B$.$

$H_a$:$18,000$

$H_0$:$18,000$

$H_a$:$=18,000$

C$.H_0$:$18,000$

D$.$

$H_0$:$=18,000$

$H_a$:$18,000$

$H_a$:$>18,000$

Identify which is the claim

A$.$ The alternate hypothesis is the claim $H_a$:$>18,000$

B$.$ The null hypothesis is the claim $H_0$:$18,000$

C$.$ The null hypothis is the claim $H_0$:

D$.$ The alternate hypothesis is the claim $H_a$:$18,000$

Determine whether to reject or fail to reject $H_0$ at the level $=0\mathrm{.}05$ level of significance

$H_0$:$=136$

$H_a$:$136$

$P-$ value $=0\mathrm{.}765$

A$.$ Reject $H_0$ because

B$.$ Reject $H_0$ because $P>0\mathrm{.}05.$

C$.$ Fail to reject $H_0$ because $P>0\mathrm{.}05.$

D$.$ Fail to reject $H_0$ because

$32.$ Find the critical values and rejection region for the indicated t$-$test, level of significance $=0\mathrm{.}10,$ and sample size $n=25$ using a right$-$tailed test. The critival value is the rejection region is

A$.t_0=1\mathrm{.}318$ and $t_0<mn\; id="EditorElement\_4999877">1</mn><mn\; id="EditorElement\_4999878">.</mn><mn\; id="EditorElement\_4999879">3</mn><mn\; id="EditorElement\_4999880">1</mn><mn\; id="EditorElement\_4999881">8</mn>$

B$.t_0=1\mathrm{.}318$ and $t_0>1\mathrm{.}318$

C$.t_0=-1\mathrm{.}318$ and $t_0<mn\; id="EditorElement\_4999716">1</mn><mn\; id="EditorElement\_4999717">.</mn><mn\; id="EditorElement\_4999718">3</mn><mn\; id="EditorElement\_4999719">1</mn><mn\; id="EditorElement\_4999720">8</mn>$

D$.t_0=-1\mathrm{.}318$ and $t_0>-1\mathrm{.}318$