In: Statistics and Probability
A study was conducted to determine if there was a difference in the humor content in British and American trade magazine advertisements. In an independent random sample of 270 American trade magazine advertisements, 56 were humorous. An independent random sample of 203 British trade magazines contained 52 humorous ads. Do these data provide evidence at the 0.05 significance level that there is a difference in the proportion of humorous ads in British versus American trade magazines?
State the null and alternate hypotheses.
Make the decision rule. (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places.)
Evaluate the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
What is the decision regarding the null hypothesis?