Browsing on the mobile device: A 2014 survey of 280 American adults indicates that 30% of cell phone owners do their browsing on their phone rather than a computer or other device.
(a) According to an online article, a report from a mobile research company indicates that 38 percent of Chinese mobile web users only access the internet through their cell phones. 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 different than the Chinese proportion of 38%.
Test at the αα = 0.05 level of significance.
The hypotheses for this test are:
- Ho: p = .38
Ha: p > .38
- Ho: p = .38
Ha: p ≠ .38
- Ho: p = .38
Ha: p < .38
The test statistic is: (please round to two decimal places) The p-value is: (please round to three decimal places) (b) The result of the hypothesis test is:
- Since p ≥ α we accept the null hypothesis
- Since p<α we reject the null hypothesis and accept the alternative
- Since p<α we fail to reject the null hypothesis
- Since p ≥ α we reject the null hypothesis and accept the alternative
- Since p ≥ α we do not have enough evidence to reject the null hypothesis
Interpret the result in the context of this study.
- The data do not provide significant evidence that the proportion of Americans who use their cell phones to access the internet is different than the Chinese proportion
- The data provide significant evidence that the proportion of Americans who use their cell phones to access the internet is different than the Chinese proportion
(c) Calculate a 95% confidence interval for the proportion of Americans who access the internet on their cell phones, and interpret the interval in this context.
lower bound: (please round to three decimal places)
upper bound: (please round to three decimal places) Interpret the confidence interval in the context of the study:
- 95% of Americans use their cell phone to access the internet
- We can be 95% confident that our confidence interval contains the sample proportion of Americans who use their cell phones to access the internet
- We can be 95% confident that the proportion of Americans who use their cell phones to access the internet is contained within our confidence interval
Browsing on the mobile device: A 2014 survey of 280 American adults indicates that 30% of cell phone owners do their browsing on their phone rather than a computer or other device.
(a) According to an online article, a report from a mobile research company indicates that 38 percent of Chinese mobile web users only access the internet through their cell phones. 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 different than the Chinese proportion of 38%.
Test at the αα = 0.05 level of significance.
The hypotheses for this test are:
- Ho: p = .38
Ha: p > .38
- Ho: p = .38
Ha: p ≠ .38
- Ho: p = .38
Ha: p < .38
The test statistic is: (please round to two decimal places) The p-value is: (please round to three decimal places) (b) The result of the hypothesis test is:
- Since p ≥ α we accept the null hypothesis
- Since p<α we reject the null hypothesis and accept the alternative
- Since p<α we fail to reject the null hypothesis
- Since p ≥ α we reject the null hypothesis and accept the alternative
- Since p ≥ α we do not have enough evidence to reject the null hypothesis
Interpret the result in the context of this study.
- The data do not provide significant evidence that the proportion of Americans who use their cell phones to access the internet is different than the Chinese proportion
- The data provide significant evidence that the proportion of Americans who use their cell phones to access the internet is different than the Chinese proportion
(c) Calculate a 95% confidence interval for the proportion of Americans who access the internet on their cell phones, and interpret the interval in this context.
lower bound: (please round to three decimal places)
upper bound: (please round to three decimal places) Interpret the confidence interval in the context of the study:
- 95% of Americans use their cell phone to access the internet
- We can be 95% confident that our confidence interval contains the sample proportion of Americans who use their cell phones to access the internet
- We can be 95% confident that the proportion of Americans who use their cell phones to access the internet is contained within our confidence interval