Question

A poll of

2 comma 1172,117

randomly selected adults showed that

9191​%

of them own cell phones. The technology display below results from a test of the claim that

9393​%

of adults own cell phones. Use the normal distribution as an approximation to the binomial​ distribution, and assume a

0.010.01

significance level to complete parts​ (a) through​ (e).

Test of pequals=0.930.93 vs pnot equals≠0.930.93
Sample	X	N	Sample p	​95% CI	​Z-Value	​P-Value
1	19241924	2 comma 1172,117	0.9088330.908833	​(0.8927190.892719​,0.9249480.924948​)	negative 3.82−3.82	0.0000.000

a. Is the test​ two-tailed, left-tailed, or​ right-tailed?

Right tailed test

​Left-tailed test

​Two-tailed test

b. What is the test​ statistic?

The test statistic is

nothing.

​(Round to two decimal places as​ needed.)

c. What is the​ P-value?

The​ P-value is

nothing.

​(Round to three decimal places as​ needed.)

d. What is the null hypothesis and what do you conclude about​ it?

Identify the null hypothesis.

A.

Upper H 0 : p less than 0.93H0: p<0.93

B.

Upper H 0 : p not equals 0.93H0: p≠0.93

C.

Upper H 0 : p equals 0.93H0: p=0.93

D.

Upper H 0 : p greater than 0.93H0: p>0.93

Choose the correct answer below.

A.

Fail to rejectFail to reject

the null hypothesis because the​ P-value is

less than or equal toless than or equal to

the significance​ level,

alphaα.

B.

RejectReject

the null hypothesis because the​ P-value is

greater thangreater than

the significance​ level,

alphaα.

C.

Fail to rejectFail to reject

the null hypothesis because the​ P-value is

greater thangreater than

the significance​ level,

alphaα.

D.

RejectReject

the null hypothesis because the​ P-value is

less than or equal toless than or equal to

the significance​level,

alphaα.

e. What is the final​ conclusion?

A.There

isis

sufficient evidence to support the claim that

9393​%

of adults own a cell phone.

B.There

isis

sufficient evidence to warrant rejection of the claim that

9393​%

of adults own a cell phone.

C.There

is notis not

sufficient evidence to support the claim that

9393​%

of adults own a cell phone.

D.There

is notis not

sufficient evidence to warrant rejection of the claim that

9393​%

of adults own a cell phone.

Answer 1