A 2012 survey of 417 American adults indicates that 15% 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 internetis less thanthe 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 ( p ) 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 p hat = 0.15. 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 = _______