A survey of 2,250 adults reported that 51​% watch news videos. Complete parts​ (a) through​ (c) below. Question content

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A survey of
2,250
adults reported that
51​%
watch news videos. Complete parts​ (a) through​ (c)below.
Question content area bottom
Part 1
a.
100
0.51​,
The probability is
enter your response here
that fewer than half of the adults in the sample will watch newsvideos.
​(Round to four decimal places as​ needed.)
Part 2
b.
500
0.51​,
The probability is
enter your response here
that fewer than half of the adults in the sample will watch newsvideos.
​(Round to four decimal places as​ needed.)
Part 3
c.
Discuss the effect of sample size on the sampling distributionof the proportion in general and the effect on the probabilities inparts​ (a) and​ (b).
Choose the correct answer below.
A.Increasing the sample size by a factor of 5 increases thestandard error by a factor of
5.
This causes the sampling distribution of the proportion tobecome more concentrated around the true population proportionof
0.51
and increases the probability in part​ (b).
B.Increasing the sample size by a factor of 5 decreases thestandard error by a factor of
5.
This causes the sampling distribution of the proportion tobecome more concentrated around the true population proportionof
0.51
and decreases the probability in part​ (b).
C.
The probabilities in parts​ (a) and​ (b) are the same.Increasing the sample size does not change the samplingdistribution of the proportion.