A recent article stated the average unemployment rate in a particular city was 3.9 percent. An economist would like to test the claim that the average unemployment rate in smaller towns outside the city is different than 3.9 percent. To test this claim, at the 1% significance level, the economist collects the following data on a sample of 31 smaller towns and records their unemployment rate. The following is the data from this study:
Sample size =31 smaller towns
Sample mean =4.2 percent
From past data, it is known that the population standard deviation is 0.8 percent.
Identify the null and alternative hypothesis for this study by filling in the blanks with the correct symbol (=,≠,<, or > to represent the correct hypothesis.)