Question

The researcher from the Annenberg School of Communications is interested in studying the factors that influence how much time people spend talking on their smartphones. She believes that gender might be one factor that influences phone conversation time. She specifically hypothesizes that women and men spend different amounts of time talking on their phones. The researcher conducts a new study and obtains data from a random sample of adults from two groups identified as women and men. She finds that the average daily phone talking time among 15 women in her sample is 42 minutes (with a standard deviation of 6). The average daily minutes spent talking on the phone among 17 men in her sample is 38 (with a standard deviation of 5). She selects a 95% confidence level as appropriate to test the null hypothesis.

What decision should the researcher make about the null hypothesis? Be sure to explain your answer

Please interpret the research findings, making sure to reference:

- whether the relationship is statistically significant

- whether we can say there is an association between the independent and dependent variable in the population

Would our decision about the null hypothesis have been different if the researcher had initially hypothesized that women spend more time talking on their phones than men?

Explain all parts/information necessary to answer this question.

Answer 1

Let population 1: women

population 2: men

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- whether the relationship is statistically significant

Yes since we reject the null hypothesis

- whether we can say there is an association between the independent and dependent variable in the population

Yes since we reject the null hypothesis

Would our decision about the null hypothesis have been different if the researcher had initially hypothesized that women spend more time talking on their phones than men?

No since in this case null hypothesis will be 0.0485 / 2 = 0.02425

Since p-value is less than 0.05 so decision will remain same.