Quinn, a market analyst at Chips 4U vending machine company, wants to determine the best allocation of snacks throughout schools in a school district where the company recently won a contract to install snack machines. In particular, Quinn wants to determine whether there is a relationship between grade level and snack preference. A random sample of 130 students is surveyed, and their school level and preferred snack are given in the table.   SNACK     granola bar peanuts pretzels chocolate bar TOTAL ELEMENTARY 32 10 17 20 79 Expected:           HIGH SCHOOL 15 7 20 9 51 Expected:           TOTAL 47 17 37 29 130 Complete the contingency table by entering the expected values (round to 2 decimal places). Then conduct an appropriate hypothesis test at alpha=0.02 . Determine the null and alternative hypotheses. �0: Grade level and student snack preferences both follow a uniform distribution. ��: Grade level and student snack preferences follow some other distribution. �0: The distribution of student grade levels is a good fit to the distribution of snack preferences. ��: The distribution of student grade levels is not a good fit to the distribution of snack preferences. �0:There is no relationship between grade level and student snack preference. ��: There is a relationship between grade level and student snack preference. Determine the test Statistic. Determine the p-value. What is the decision of the test?         State the conclusion. There IS sufficient evidence to conclude that a relationship exists between grade level and student snack preference. There IS NOT sufficient evidence to conclude that a relationship exists between grade level and student snack preference. There IS sufficient evidence to conclude that grade level and student snack preferences both follow a uniform distribution. There IS NOT sufficient evidence to conclude that grade level and student snack preferences both follow a uniform distribution. There IS sufficient evidence to conclude that the distribution of student grade levels is a good fit to the distribution of snack preferences. There IS NOT sufficient evidence to conclude that the distribution of student grade levels is a good fit to the distribution of snack preferences.

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Quinn, a market analyst at Chips 4U vending machine company, wants to determine the best allocation of snacks throughout schools in a school district where the company recently won a contract to install snack machines. In particular, Quinn wants to determine whether there is a relationship between grade level and snack preference. A random sample of 130 students is surveyed, and their school level and preferred snack are given in the table.

  SNACK  
  granola bar peanuts pretzels chocolate bar TOTAL
ELEMENTARY 32 10 17 20 79
Expected:          
HIGH SCHOOL 15 7 20 9 51
Expected:          
TOTAL 47 17 37 29 130

Complete the contingency table by entering the expected values (round to 2 decimal places). Then conduct an appropriate hypothesis test at alpha=0.02 .

  1. Determine the null and alternative hypotheses.
    • �0: Grade level and student snack preferences both follow a uniform distribution.
      ��: Grade level and student snack preferences follow some other distribution.

    • �0: The distribution of student grade levels is a good fit to the distribution of snack preferences.
      ��: The distribution of student grade levels is not a good fit to the distribution of snack preferences.
    • �0:There is no relationship between grade level and student snack preference.
      ��: There is a relationship between grade level and student snack preference.



  2. Determine the test Statistic.
  3. Determine the p-value.


  4. What is the decision of the test?
           

  5. State the conclusion.
    • There IS sufficient evidence to conclude that a relationship exists between grade level and student snack preference.
    • There IS NOT sufficient evidence to conclude that a relationship exists between grade level and student snack preference.
    • There IS sufficient evidence to conclude that grade level and student snack preferences both follow a uniform distribution.
    • There IS NOT sufficient evidence to conclude that grade level and student snack preferences both follow a uniform distribution.
    • There IS sufficient evidence to conclude that the distribution of student grade levels is a good fit to the distribution of snack preferences.
    • There IS NOT sufficient evidence to conclude that the distribution of student grade levels is a good fit to the distribution of snack preferences.
Expert Solution
Step 1

Given that:

SNACK  
  granola bar peanuts pretzels chocolate bar TOTAL
ELEMENTARY 32 10 17 20 79
Expected:          
HIGH SCHOOL 15 7 20 9 51
Expected:          
TOTAL 47 17 37 29 130

Significance level, α=0.02

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