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Check Your Understanding

A random sample of 20 stuctents was asked to sample a new fype dizza that the school was considerng using as a replacement for the current plaza I ach student stated if they were a pizsa (or not) The school would the to know it there is a relationship between grade level and piaza cpinion.

Check Your Understanding $\newline$ $1$ . A random sample of $20$ stuctents was asked to sample a new fype dizza that the school was considerng using as a replacement for the current plaza I ach student stated if they were a pizsa (or not) The school would the to know it there is a relationship between grade level and piaza cpinion.

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Interpret confidence intervals for population means

Full solution

Q. Check Your Understanding

\newline

1

. A random sample of

20

stuctents was asked to sample a new fype dizza that the school was considerng using as a replacement for the current plaza I ach student stated if they were a pizsa (or not) The school would the to know it there is a relationship between grade level and piaza cpinion.

Set up contingency table: Set up a contingency table to organize the data by grade level and pizza opinion.
Count students by grade: Count the number of students in each grade level who are pizza lovers and not pizza lovers.
Calculate expected frequencies: Calculate the expected frequencies for each cell in the contingency table assuming there is no relationship between grade level and pizza opinion.
Calculate chi-square statistic: Use the chi-square test formula to calculate the chi-square statistic.
Determine degrees of freedom: Determine the degrees of freedom for the chi-square test.
Compare to critical value: Compare the chi-square statistic to the critical value from the chi-square distribution table using the appropriate degrees of freedom.
Decide on relationship: Decide if there is a significant relationship between grade level and pizza opinion based on the comparison.

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