1) The owner of a small pet supply store wants to open a second store in another city, but he only wants to do so if more than one-third of the city's households have pets (otherwise there won't be enough business). He samples 150 of the households and finds that 64 have pets. a)State the null hypotheses H0 b)State the alternative hypotheses Ha c)Use the provided randomization distribution (based on 100 samples) to estimate the p-value for this sample. d)At significance level 0.05, state your conclusion

The National Academy of Science reported that 41% 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 41%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 186 recent articles published by reputable mathematics research journals and finds that 92 of these articles have US authors. Does this evidence support the mathematics chairperson’s claim that the percentage is no longer 41%? Use a 0.05 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. circle the answer below. H0 p=0.41 ha: p⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.41 A.<B.≠C.> Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places Step 3 of 3: Draw a conclusion and interpret the decision. A. We reject the null hypothesis and conclude that there is insufficient evidence at a…

A study published in 2007 by Christopher Johnson, professor of music education and music therapy at the University of Kansas, revealed that students in elementary schools who took private music lessons scored around 20 percent higher in math scores on standardized tests, compared to students who did not take private music lessons. Is this a randomized experiment or an observational study? a) Randomized experiment, since researchers gave students standardized tests. b) Observational study, since whether the student took private music lessons was not randomly assigned. c) Observational study, since math scores were not randomly assigned. d) Observational study, since this was not a random sample.

Suppose we are interested in the relationship between individuals’ place of residence (rural versus urban) and their political affiliation (Republican versus Democrat).  A random sample of 100 individuals yields the following crosstabulation: Political Affiliation               Place of Residence                Republican       Democrat               Rural                                        21                        29               Urban                                       14                        36 a) In words, what is the null hypothesis to be tested?   b) Is the relationship between place of residence and political affiliation statistically significant at the .05 level? (Be sure to show the statistics that lead to your decision.)   c) Compute and interpret an appropriate measure of association for the relationship between these two variables.