A poll of 2,039 randomly selected adults showed that 96​% of them own cell phones. The technology display below results from a test of the claim that 94​% of adults own cell phones. Use the normal...




A poll of
2,039

randomly selected adults showed that
96​%

of them own cell phones. The technology display below results from a test of the claim that
94​%

of adults own cell phones. Use the normal distribution as an approximation to the binomial​ distribution, and assume a
0.01

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




























Test of
p=0.94

vs
p≠0.94



Sample


X


N


Sample p


​95% CI


​Z-Value


​P-Value


1


1961


2,039


0.961746



​(0.950804​,0.972687​)



4.13


0.000







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








​Left-tailed test








​Two-tailed test








Right 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.


H0: p≠0.94






B.


H0: p<>






C.


H0: p>0.94






D.


H0: p=0.94





Choose the correct answer below.






A.



Reject

the null hypothesis because the​ P-value is
greater than

the significance​ level,
α.







B.



Reject

the null hypothesis because the​ P-value is
less than or equal to

the significance​ level,
α.







C.



Fail to reject

the null hypothesis because the​ P-value is
less than or equal to

the significance​ level,
α.







D.



Fail to reject

the null hypothesis because the​ P-value is
greater than

the significance​ level,
α.






e. What is the final​ conclusion?






A. there is not sufficient evidence to warrant rejection of the claim that 94 % of adults own a cell phone

B.there is not sufficient evidence to support the claim that 94 % of adults own a cell phone

C. A. there is sufficient evidence to warrant rejection of the claim that 94% of adults own a cell phone

D. there is sufficient evidence to support the claim that 94% of adults own a call phone






Jun 01, 2022
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