Nancy, an economist, would like to make the claim that the average weekly grocery budget for households in a small U.S. city is less than $253. Nancy samples 18 households in the same city and obtains...

Nancy, an economist, would like to make the claim that the average weekly grocery budget for households in a small U.S. city is less than $253. Nancy samples 18 households in the same city and obtains a sample mean of $229.60 spent on groceries per week.

At the 2.5% significance level, should Nancy reject or fail to reject the null hypothesis given the sample data below?

• H0:μ=$253 per week; Ha:μ<$253 per>
  


• α=0.025 (significance level)
  


• test statistic=−0.75

Then set the α and the test statistic to find the p-value. Use the results to determine whether to reject or fail to reject the null hypothesis.