You are assessing a manufacturer\'s claim that 4 flavors of lollipops (Apple[A],

Question

You are assessing a manufacturer's claim that 4 flavors of lollipops (Apple[A], Blueberry[B], Cherry[C], and Dragon Fruit[D]) occur with the following frequencies:

HoHo : pA=0.4pA=0.4;  pB=0.25pB=0.25;  pC=0.1pC=0.1;  pD=0.25pD=0.25

A random sample of lollipops was selected and their observed frequencies are in the below (incomplete) table. Complete the table and report all answers accurate to three decimal places.

What is the test statistic for this data? (Report all answers accurate to three decimal places.)


2=2=

What is the p-value? (Report all answers accurate to three decimal places.)


p-value =  


For significance level alpha 0.025, what would be the conclusion of this hypothesis test? (Report all answers accurate to three decimal places.)

Fail to reject the Null Hypothesis

Reject the Null Hypothesis

Category Observed
Frequency Expected
Frequency A 67 B 21 C 7 D 53

Explanation / Answer

H0:  pA=0.4;  pB=0.25;  pC=0.1;  pD=0.25

H1: Atleast one probability condition fails

Num Categories: 4
Degrees of freedom: 3

Test Statistic, X^2: 18.9764
Critical X^2: 7.814736
P-Value: 0.0003

Here P-value < alpha 0.05, so we reject H0

Thus we conlcude that Atleast one probability condition fails

Correct option : Reject the Null Hypothesis

Observed Expected Category Freq (Oi) Prob Freq Ei (Oi-Ei)^2 /Ei A 67 0.4 59.2 1.027702703 B 21 0.25 37 6.918918919 C 7 0.1 14.8 4.110810811 D 53 0.25 37 6.918918919 Total: 148 148 18.97635135

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

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