According to a reputable magazine, $$ 31 \% $$ of all cars sold in a certain country are SUVs. Suppose a random sample of 500 recently sold cars shows that 140 are SUVs. Complete parts (a) and (b) below. a. Write the null and alternative hypotheses to test that fewer than $$ 31 \% $$ of cars sold are SUVs. $$ \mathrm{H}_{0}: \mathrm{p}=0.31 $$ $$ \mathrm{H}_{\mathrm{a}}: \mathrm{p}

Question

According to a reputable magazine, $$ 31 \% $$ of all cars sold in a certain country are SUVs. Suppose a random sample of 500 recently sold cars shows that 140 are SUVs. Complete parts (a) and (b) below. a. Write the null and alternative hypotheses to test that fewer than $$ 31 \% $$ of cars sold are SUVs. $$ \mathrm{H}_{0}: \mathrm{p}=0.31 $$ $$ \mathrm{H}_{\mathrm{a}}: \mathrm{p}<0.31 $$ (Type integers or decimals. Do not round.) b. Report the value of the test statistic (z) from the figure. $$ \mathrm{z}=\square $$ (Type an integer or a decimal. Round to four decimal places as needed.)

UpStudy AI · Accepted Answer

(a) Null hypothesis: $$ p = 0.31 $$, Alternative hypothesis: $$ p < 0.31 $$ (b) Test statistic $$ z \approx -1.4469 $$

UpStudy ThothAI Solution

Quick Answer

Step-by-step Solution

UpStudy ThothAI Solution

Quick Answer

Step-by-step Solution

Related Questions