A 2012 survey of 404 American adults indicates that 17% of cell phone owners do their browsing on their phone rather than a computer or other device. According to an online article, a report from a mobile research company indicates that 38% of Chinese mobile web users only access the internet through their cell phones. We wish to conduct a hypothesis test to determine if these data provide strong evidence that the proportion of Americans who only use their cell phones to access the internet is less than the Chinese proportion of 38%. (a) The Null Hypothesis, in mathematical symbols, is:  H0 : p = ________ (b) The Alternative Hypothesis, in mathematical symbols, is:  HA : p  __________  In both the null and alternative hypotheses, the symbol  is the proportion of American adult cell phone owners who do their browsing on their phone. (c) The standard error based on the null hypothesis is:  (d) Our data indicates a proportion of Americans who use their phones to browse is . We need to use this to find a test statistic (in this case called a z-score). Recall that a test statistic is a measure for how many standard errors our data point is away from our assumed mean. test statistic = ________

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A 2012 survey of 404 American adults indicates that 17% of cell phone owners do their browsing on their phone rather than a computer or other device.

According to an online article, a report from a mobile research company indicates that 38% of Chinese mobile web users only access the internet through their cell phones. We wish to conduct a hypothesis test to determine if these data provide strong evidence that the proportion of Americans who only use their cell phones to access the internet is less than the Chinese proportion of 38%.

(a) The Null Hypothesis, in mathematical symbols, is:  H0 : p = ________
(b) The Alternative Hypothesis, in mathematical symbols, is:  HA : p  __________ 
In both the null and alternative hypotheses, the symbol  is the proportion of American adult cell phone owners who do their browsing on their phone.

(c) The standard error based on the null hypothesis is: 

(d) Our data indicates a proportion of Americans who use their phones to browse is . We need to use this to find a test statistic (in this case called a z-score). Recall that a test statistic is a measure for how many standard errors our data point is away from our assumed mean.
test statistic = ________

Expert Solution
Step 1

Note: According to the guidelines, only the first three subparts have been solved.

Given:

Sample size of Americans adults is 404, that is, n = 404.

Estimates proportion of cell phone owners do their browsing on their phone rather than a computer or other device is

17%, that is, p^=0.17.

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