In: Statistics and Probability
Virtually everyone owns a smartphone, and in the 18-29 years old age group it is generally believed that the percentage of smartphone ownership is at least 90%. However, a recent Pew Research venter survey of 349 people between 18 and 29 years of age found that only 300 (~86%) of them owned a smartphone.
a.) What is the inherent question of interest here? b.) What might be a reasonable description of the population of interest? c.) what is the relevant sample? d.) what is the random variable being evaluated here? e.) what is the population parameter of interest? f.) what is the parameters corresponding sample statistic? g.) what is an appropriate research hypothesis to consider? h.) what is the corresponding null hypothesis? i.) what is the test statistic used to test these hypothesis? j.) what is the null distribution of this test statistics? k.) what is the decision rule that might be used here? l.) what decision was made with regard to the null hypothesis? m.) what is your conclusion based on the available data? n.) what is your best point estimate of the proportion of people from 18-29 years of age that own a smartphone? o.) Provide a 95% confidence interval for the proportion of people from 18-29 years of age who own a smartphone.