The U. S. Energy Information Administration claimed that U. S. residential customers used an average of 10,76110,761 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 160160 of their customers and calculates that these customers used an average of 11,231kWh11,231⁢kWh of electricity last year. Assuming that the population standard deviation is 2917kWh2917⁢kWh, is there sufficient evidence to support the power company's claim at the 0.010.01 level of significance? Step 1:
State the null and alternative hypotheses for the test. Fill in the blank below.
H0: μ=10,761
Ha: μ 10,761
<, >, not equal
Step 2: What is the test statistic?
Step 3: Do we fail to reject OR reject the null hypothesis because of sufficient or insufficient evidence?