[ PLEASE SHOW ALL WORK WITHOUT THE USE OF EXCEL ] From 78 of its restaurants, No

Question

[ PLEASE SHOW ALL WORK WITHOUT THE USE OF EXCEL ]

From 78 of its restaurants, Noodles & Company managers collected data on per-person sales and the percent of sales due to "potstickers" (a popular food item). Both numerical variables failed tests for normality, so they tried a chi-square test. Each variable was converted into ordinal categories (low, medium, high) using cutoff points that produced roughly equal group sizes. At = .02, is per-person spending independent of percent of sales from potstickers?

The hypothesis for the given issue is H0: Percentage of Sales and Per-Person Spending are independent.

Calculate the chi-square test statistic, degrees of freedom, and the p-value. (Round your test statistic value to 2 decimal places and p-value to 4 decimal places. Leave no cells blank - be certain to enter "0" wherever required.)

From 78 of its restaurants, Noodles & Company managers collected data on per-person sales and the percent of sales due to "potstickers" (a popular food item). Both numerical variables failed tests for normality, so they tried a chi-square test. Each variable was converted into ordinal categories (low, medium, high) using cutoff points that produced roughly equal group sizes. At = .02, is per-person spending independent of percent of sales from potstickers?

Explanation / Answer

a)

Yes

b)

applying chi square test of independence:

test statistic =6.054

df =(row-1)*(column-1)=(3-1)*(3-1)=4

p value =0.1954 ( please try 0.1951 if this comes wrong)

c)

No as p value is not less than 0.02 level

Expected Ei=row*column/total Low medium High Total Low 5.385 6.667 7.949 20 medium 7.000 8.667 10.333 26 High 8.615 10.667 12.718 32 Total 21 26 31 78 chi square =(Oi-Ei)2/Ei Low medium High Total Low 0.485 0.067 0.113 0.665 medium 0.571 2.167 0.527 3.265 High 0.017 1.260 0.847 2.125 Total 1.073 3.494 1.487 6.054

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.