The National Academy of Science reported that 38% of research in mathematics is published by US authors. The mathematics chairperson of a prestigious university wishes to test the claim that this percentage is no longer 38%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 279 recent articles published by reputable mathematics research journals and finds that 123 of these articles have US authors. Does this evidence support the mathematics chairperson’s claim that the percentage is no longer 38%? Use a 0.02 level of significance. Step 3 of 3 : Draw a conclusion and interpret the decision. 1. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance that the percentage of research in mathematics published by US authors has changed. 2. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance that the percentage of research in mathematics published by US authors has changed. 3. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance that the percentage of research in mathematics published by US authors has changed. 4. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance that the percentage of research in mathematics published by US authors has changed.

A psychologist wanted to know if students in her class were more likely to cheat if they were low achievers. She divided her 60 students into three groups (low, middle, and high) based on their mean exam score on the previous three tests. She then asked them to rate how likely they were to cheat on an exam if the opportunity presented itself with a very limited chance for consequences. The students rated their desire to cheat on a scale ranging from 1-100, with lower numbers indicating less desire to cheat.   Before opening the data, what would you hypothesize about this research question?   Open the data set. Before running any statistical analyses, glance through the data. Do you think that your hypothesis will be supported?   Conduct descriptive analyses and report them here.   Conduct a one-way ANOVA. Report your statistical findings (including any applicable tables in APA format) here.   What would you conclude from this analysis? What would be your next steps, if this…

A nationwide job recruiting firm wants to compare the annual incomes for childcare workers in New York and Illinois. Due to recent trends in the childcare industry, the firm suspects that the that the mean annual income of childcare workers in the state of New York is greater than the mean annual income of childcare workers in Illinois. To see if this is true, the firm selected a random sample of  20  childcare workers from New York and an independent random sample of  20  childcare workers from Illinois and asked them to report their mean annual income. The data obtained were as follows.   Annual income in dollars New York 46686 ,  34979 ,  47325 ,  48892 ,  51128 ,  56792 ,  47785 ,  48995 ,  57301 ,  55176 ,  48002 ,  45718 ,  50351 ,  58527 ,  47067 ,  53699 ,  54361 ,  49727 ,  36426 ,  50870 Illinois 48009 ,  46871 ,  42774 ,  49790 ,  43163 ,  45401 ,  41068 ,  50300 ,  47064 ,  42003 ,  47775 ,  41917…

Your statistics instructor claims that 60 percent of the students who take her Elementary Statistics class go through life feeling more enriched. For some reason that she can't quite figure out, most people don't believe her. You decide to check this out on your own. You randomly survey 55 of her past Elementary Statistics students and find that 29 feel more enriched as a result of her class. Now, what do you think?