question 1

For each of the variables described below, indicate whether it is a quantitative or a categorical (qualitative) variable. Also, indicate the level of measurement for the variable: nominal, ordinal, interval, or ratio. Make sure your responses are the most specific possible. Type of Level of Variable variable measurement X 5 O Nominal O Quantitative O Ordinal (a) Gender O Interval O Categorical O Ratio O Nominal O Quantitative O Ordinal (b) Temperature (in degrees Fahrenheit) O Interval O Categorical O Ratio O Nominal O Quantitative O Ordinal (c) Closing price (in dollars) of a stock O Interval O Categorical ORatioA union of restaurant and foodservice workers would like to estimate the mean hourly wage, u, of foodservice workers in the U.S. this year The mean hourly wage last year was $8.14, and there is good reason to believe that this year's value is less than last year's. The union decides to do a statistical test to see if the value has indeed decreased. The union chooses a random sample of this year's wages, computes the mean of the sample to be $7.87, and computes the standard deviation of the sample to be $1.15. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H, that should be used for the test? X H : 1 H, : 1 020 0=0 0#0 (b) Suppose that the union decides not to reject the null hypothesis. What sort of error might it be making? (Choose one) X 5 ? (C) Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $7.82. Fill in the blanks to describe a Type II error. A Type II error would be (Choose one) the hypothesis that u is (Choose one) (Choose one) V when, in fact, u is (Choose one)The breaking strengths of cables produced by a certain company are approximately normally distributed. The company announced that the mean breaking strength is 2180 pounds with a variance of 34,596. A consumer protection agency claims that the actual variance is higher. Suppose that the consumer agency wants to carry out a hypothesis test to see if its claim can be supported. State the null hypothesis Ho and the alternative hypothesis H, they would use for this test. H : H X p H : 1 P S 00 020 0=0 0*0Among college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 65%. After a series of debates on campuses, a political scientist claims that the proportion of college students who say they're interested in their district's election results is more than 65%. A poll is commissioned, and 183 out of a random sample of 255 college students say they're interested in their district's election results. Is there enough evidence to support the political scientist's claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H. H P Ho : 0 X S P H, : 0 (b) Determine the type of test statistic to use. (Choose one) 0=0 030 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) 0*0 00(d) Find the p-value. (Round to three or more decimal places.) (e) Is there enough evidence to support the political scientist's claim that the proportion of college students who say they're interested in their district's election results is more than 65%? OYes ONo