In: Statistics and Probability
Is there a statistically significant difference between males and females in terms of newspaper readership? The proportion of each sex that says they read a newspaper daily is reported below. Results are from a nationally representative sample. Use the five-step model to answer your question. Be sure to include each step in the write up of your answer (see pages 220 -221 and the Applying Statistics 9.1 box on page 222). Make sure you include a sentence or two interpreting your results in step 5. Males Females Ps1 = .56 Ps2 = .59 N1 = 786 N2 = 965
the given data and some necessary calculations are:-
hypothesis:-
where, are the population proportion of males and females in terms of newspaper readership respectively.
here, we will do 2 proportion Z test.
test statistic be:-
z critical value for 95% confidence level , both tailed test be:-
decision:-
so, we fail to reject the null hypothesis.
conclusion:-
there is not sufficient evidence to claim that, there a statistically significant difference between males and females in terms of newspaper readership at 0.05 level of significance.
***in case of doubt, comment below. And if u liked the solution, please like.