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 week   α=0.025 (significance level)   test statistic=−0.75

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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 week
     
  • 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.

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