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 vspnot 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 significancelevel,

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

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normal distribution as an approximation to the binomial
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significance level to complete parts (a) through (e).
Test
of
pequals
0.92vs
pnot equals
0.92
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N
Sample p
95% CI
Z-Value
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1
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