A marketing company claims that the mean household income of HDTV owners across the population is greater than $50,0000. A random sample of 1700 households with HDTVs shows that the mean household income is $51,182. Assuming that the true mean is $50,000, the likelihood of selecting a sample with a mean income of $51,182 or more is 0.007. Decide whether to reject or fail to reject the null hypothesis. If you decide to reject the null hypothesis, state whether it is at the 5% level or the 1% level. Null Hypothesis: mean. household income = $50,000 Alternative Hypothesis: mean household income > $50,000 6) Reject the null hypothesis at the 5% level. 0 Reject the null hypothesis at the 1% level. 0 Fail to reject the null hypothesis