In April of 2011, the unemployment rate in Canada was reported to be 7.3 %. Suppose that Statistics Canada claims that the current unemployment rate is lower than that of April 2011. Suppose a test was conducted on current unemployment and a random sample size of 1200 found an unemployment rate at 6.0%. Test an appropriate hypothesis and state your conclusion. Use a significance level of 10.0%. (a) What are the null and alternative hypotheses? Ho: P 0.073 + HA: P (b) What is the test statistic? (Round your answer to 2 decimal places, if needed.) 0.073 (c) Using the statistical table, what is the p-value? (Round your answer to 4 decimal places, if needed.) (d) Based on the p-value, reject (e) This data provides Check the null hypothesis. + sufficient evidence to conclude that the unemployment rate has decreased since April of 2011.

2.

Suppose we wanted to estimate the mean room rate for luxury hotels in the Northeast. Assume that the standard deviation for room rates is $35 and that we want a 95% confidence interval. What is the smallest sample size should we choose if we want a margin of error for our interval of no more than $10? Type your answer here

A Gallup survey based on telephone and face-to-face interviews with 4,220 adults in China, aged 15 and older suggests that 30% smoke regularly or occasionally. The following is also noted "one can say with 95% confidence that the maximum margin of sampling error is 2.2 percentage points". Which of the following is true based on the results of this survey? a. We are 95% confident that 27.8 % to 32.2 % of all Chinese adults smoke. b. If the sample size was larger, the margin of error would be larger as well. c.We are 95% confident that 25.6% to 34.4% of all Chinese adults smoke. d. Exactly 30% of all Chinese adults smoke. e. If we were to randomly sample another group of 4,220 Chinese adults we would find that exactly 30% of them smoke as well.