Question

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

Answer 1

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.

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