You are conducting a Goodness of Fit Chi$-$Squared hypothesis test $(=0\mathrm{.}05)$ for the claim that all $5$

categories are equally likely to be selected. Complete the table.

Round Expected values accurate to exactly $2$ decimal places. Retain unrounded numbers for future

calculations.

Round the $((O-E{)}^{{?}^{{?}^{?}}}\frac{2}{E})$ values to $3$ decimals.

What is the chi$-$square test$-$statistic for this data? $($Round answer to $3$ decimal places, and remember to use

the unrounded Pearson residuals in your calculations.$)$

${}^2=$

What are the degrees of freedom for this test?

d$.$f$.=$

What is the $p-$value for this sample? $($Round answer to $3$ decimal places.$)$

$p-$value $=$

The $p-$value is$...$

less than $($or equal to$)$

greater than $$

This test statistic leads to a decision to$...$

reject the null

fail to reject the null

As such, the final conclusion is that...

There is sufficient evidence to warrant rejection of the claim that all $5$ categories are equally likely

to be selected.