Question

Smartphone adoption among younger adults has increased substantially and mobile access to the Internet is pervasive. 13% of young adults in one study are​ "smartphone-dependent," meaning that they do not have home broadband service and have limited options for going online other than their mobile device. Consider a sample of 10 young adults selected. Complete parts​ (a) through​ (d) below.

A. What is the probability that 3 smartphone-dependent?

B. What is the probability that at least 6 are smartphone-dependent?

C. What is the probability that at most 10 is smartphone-dependent?

D. If you selected a sample in a particular geographic area and found that none of the 10 respondents are smartphone-dependent, what conclusions might you reach about whether the percentage of smartphone-dependent young adults in this area was 13 %? Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal rounded to four decimal places as needed.)

Answer 1

a) The probability that 3 are smartphone-dependent is

b) The probability that at least 6 are smartphone dependent is

c) The probability that at most 10 are smartphone-dependent is

d) The sample proportion of respondents who are smartphone-dependent is = 0/10 = 0

The standard error of the sample proportion is

The value of the test statistics is

The p-value corresponding to the test statistics is = 0.2217

This value of the test statistics is not significant and hence we will conclude that the percentage of smartphone-dependent young adults in this area is indeed 13%.

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