A poll of 2,012 randomly selected adults showed that 98?% of them own cell phone

Question

A poll of

2,012

randomly selected adults showed that

98?%

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

93?%

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

0.05

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

pequals=0.93

pnot equals?0.93

Sample

X

N

Sample p

?95% CI

?Z-Value

?P-Value

1

19711971

2 comma 0122,012

0.9796220.979622

?(0.9734490.973449?,0.9857960.985796?)

8.728.72

0.0000.000

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

Right tailed test

?Two-tailed test

?Left-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 not equals 0.93H0: p?0.93

B.

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

C.

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

D.

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

Choose the correct answer below.

A.

RejectReject

the null hypothesis because the? P-value is

greater thangreater than

the significance? level,

alpha?.

B.

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,

alpha?.

C.

Fail to rejectFail to reject

the null hypothesis because the? P-value is

greater thangreater than

the significance? level,

alpha?.

D.

RejectReject

the null hypothesis because the? P-value is

less than or equal toless than or equal to

the significance? level,

alpha?.

e. What is the final? conclusion?

A.

There

is notis not

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 warrant rejection of the claim that

9393?%

of adults own a cell phone.

D.

There

isis

sufficient evidence to support the claim that

9393?%

of adults own a cell phone.

Click to select your answer(s).

Test of

pequals=0.93

vs

pnot equals?0.93

Sample

X

N

Sample p

?95% CI

?Z-Value

?P-Value

1

19711971

2 comma 0122,012

0.9796220.979622

?(0.9734490.973449?,0.9857960.985796?)

8.728.72

0.0000.000

Explanation / Answer

Ans:

a)Two-tailed test

b)Test statistic,z=8.72

c)p-value=0.000

d)

Null hypothesis

H0: p=0.93

Reject the null hypothesis because the P-value is less than or equal to the significance level.

(Option D is correct)

There is not sufficient evidence to support the claim that 93% of adults own a cell phone.

(Option A is correct)

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