Suppose that, on average, U.S. adults get fast food 17 times a week. In a random sample of 40 people, it was found that they ordered fast food an average of 18 times in one week. Assume the population standard deviation is 4.5. Perform a test at a significance level of 4% to determine whether or not the number of times a U.S. adult gets fast food in a week is different from 17.

1. Check all of the requirements that are satisfied.
   
   • random
   • the $\displaystyle \overline{{{x}}}$ distribution is normal since $\displaystyle {n}\ge{30}$
   • the $\displaystyle \overline{{{x}}}$ distribution is normal since the $\displaystyle {x}$ distribution is normal
   • the $\displaystyle \hat{{{p}}}$ distribution is normal since $\displaystyle {n}{p}\ge{10}$ and $\displaystyle {n}{q}\ge{10}$
2. Identify the null and alternative hypotheses.
   
   $\displaystyle {H}_{{{0}}}$: Select an answer p p̂ x̄ s μ σ σ² s² ? < > ≠ =
   
   $\displaystyle {H}_{{{1}}}$: Select an answer p p̂ x̄ s μ σ σ² s² ? < > ≠ =
   
   
3. What type of hypothesis test should you conduct (left, right, or two-tailed)?
   
   • left-tailed
   • right-tailed
   • two-tailed
4. Identify the appropriate significance level. Make sure to enter your answer as a decimal.
   
   
   
5. Which calculator function should you use? Select an answer 1-PropZInt 1-PropZTest ZInterval Z-Test TInterval T-Test invNorm
   
   
6. Find the test statistic. Write the result below, and be sure to round your final answer to two decimal places.
   
   
   
7. Find the critical value. Round your answer to 2 decimal places.
   
   
8. Should you reject or not reject the null hypothesis?
   
   • reject the null hypothesis since $\displaystyle {p}$-value $\displaystyle \le\alpha$
   • do not reject the null hypothesis since $\displaystyle {p}$-value $\displaystyle >\alpha$
   • reject the null hypothesis since the test statistic is inside the critical region
   • do not reject the null hypothesis since the test statistic is outside the critical region
   
   
   
9. Select the statement below that best represents the interpretation.
   
   • There is sufficient evidence to support the claim that the amount of times U.S. adults order fast food is different than 17.
   • There is not sufficient evidence to support the claim that the amount of times U.S. adults order fast food is different than 17.
   • The sample data support the claim that U.S. adults get fast food 17 times a week.
   • We accept the claim that U.S. adults get fast food 17 times a week.