In: Statistics and Probability
2. School administrators are concerned that important university emails are being automatically (and incorrectly) labeled as ‘spam’ by email providers. Independent random samples of ‘google mail’ and ‘yahoo.ca’ users are randomly selected. Out of the sample of google mail users (n=200), 150 reported that they had received the email. Out of the sample of yahoo.ca users (n=150), 90 reported that they had received the email. Is there a significant difference in receiving the email between users of google mail and yahoo.ca email providers?
2a. Calculate the test statistic.
2b. Find the p-value for the test. Test for a significant difference at the 1% significance level and state whether you reject or fail to reject the null (and why).