In: Statistics and Probability
2. A research team hypothesizes that setting weekly scheduled online interactions versus not setting such interactions can boost the wellbeing of people who are living on their own during the stay at home order.
a. How would committing a Type I error translate to this research question? Discuss both aspects involved in the process of committing a Type I error with regards to this particular question. Your answer should look something like “A Type I error would be committed if the researchers…… but……..”. Make sure your sentence includes the phrase “setting weekly scheduled online interactions” (I want to see you think about Type I error beyond rejecting/failing to reject the null hypothesis) (1 point).
b. What would decrease the chances of committing a Type I error (I’m looking for two factors and you need to explain how these factors should be manipulated to decrease Type I error, e.g. a larger ___)? (1 point)
2. A research team hypothesizes that setting weekly scheduled online interactions versus not setting such interactions can boost the well being of people who are living on their own during the stay at home order.
null hypothesis: setting weekly scheduled online interactions will boost the well being of people who are living on their own during the stay at home order.
a. How would committing a Type I error translate to this research question? Discuss both aspects involved in the process of committing a Type I error with regards to this particular question. Your answer should look something like “A Type I error would be committed if the researchers…… but……..”. Make sure your sentence includes the phrase “setting weekly scheduled online interactions” (I want to see you think about Type I error beyond rejecting/failing to reject the null hypothesis)
Type I error = P[ Rejecting the null hypothesis | it is true ]
“A Type I error would be committed if the researchers conclude that setting weekly scheduled online interactions will not boost the well being of people who are living on their own during the stay at home order but in reality it will”
b. What would decrease the chances of committing a Type I error (I’m looking for two factors and you need to explain how these factors should be manipulated to decrease Type I error, e.g. a larger ___)?
Factors affecting type I error
1. level of significance - The smaller level of significance should be chosen to reduce the type I error
2. Sample size - too large sample increase the type I error, hence the sample size should be small