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

ID: 3056355 • Letter: #

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=0.3pA=0.3; pB=0.3pB=0.3; pC=0.2pC=0.2; pD=0.2pD=0.2

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.

Category Observed Frequency Expected Frequency A 33 B 24 C 16 D 27

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 0.1, what would be the conclusion of this hypothesis test? (Report all answers accurate to three decimal places.)

• Reject the Null Hypothesis

• Fail to reject the Null Hypothesis

category observed frequency expected frequency a 33 b 24 c 16 d 27

Explanation / Answer

The statistical software output for this problem is:

Chi-Square goodness-of-fit results:
Observed: Oi
Expected: Ei

Hence,

Test statistic = 4.75

P - value = 0.191

Fail to reject the Null Hypothesis

N DF Chi-Square P-value 100 3 4.75 0.191