In each of the following situations, indicate: (A) the Null and Alternative Hypotheses (B) The statistical analysis you would conduct, and the appropriate test - Chisquare goodness of fit test, Chisquare test of independence, T-test of independent means, or z test of proportions - that should be used (C) The critical value of the test statistic 1. Respondents of a survey of 1000 households were classified as high, medium or light users of ice cream. They were also classified as being in high, medium or low-income categories. Is the consumption if ice cream related to income level? (assume 99% confidence)

2. A researcher working on a consulting project for automobile manufacturers association, wants to know if the average reliability rating given by Consumer Reports is any different for Japanese made cars compared to cars made in the US. He samples the ratings of 100 cars and will test the hypothesis assuming 5% significance level.

3. Respondents of a survey of 200 persons indicate that 110 and Democrats and 90 are Republicans. Is there evidence to show that more than 50% support the Democratic Party? (assume 1% probability of error)

4. In a survey using a representative sample of households from the Synovate consumer panel, respondents were asked whether (or not) they preferred to shop at Target. The sample was also divided into small and large households based on household size. Can we say with 95% confidence that preference for shopping in Target related to household size?

5. Based on the following survey of American University students, the school wants to be 95% confident that there are no statistically significant differences in student responses to for proposed change in school starting time. The school should start at 10:00 am. Agree 25 Neutral 35 Disagree 40