Activity 7 Data

Section 1

Pop Secret		Act II		Proportions				Test Statistic	p-value	95% Conf Int		Decision
Pop	Total	Pop	Total	P.S.	Act II	Pooled	Diff	Test Statistic	p-value	lower	upper	Decision
185	190	380	399	0.9737	0.9524	0.9593	0.0213	1.222	0.221531	-0.009595	0.052201	Retain
75	190	320	391	0.3947	0.8184	0.6799	-0.4237	-10.269	0.000000	-0.502991	-0.344364	Reject
168	187	363	374	0.8984	0.9706	0.9465	-0.0722	-3.583	0.000340	-0.118758	-0.025627	Reject
183	191	369	384	0.9581	0.9609	0.9600	-0.0028	-0.163	0.870784	-0.037212	0.031567	Retain
186	191	376	384	0.9738	0.9792	0.9774	-0.0053	-0.406	0.684693	-0.032118	0.021428	Retain
182	193	338	363	0.9430	0.9311	0.9353	0.0119	0.542	0.588011	-0.029938	0.053690	Retain
98	98	362	379	1.0000	0.9551	0.9644	0.0449	2.135	0.032761	0.024016	0.065693	Reject
166	187	400	405	0.8877	0.9877	0.9561	-0.1000	-5.517	0.000000	-0.146467	-0.053440	Reject
175	180	448	453	0.9722	0.9890	0.9842	-0.0167	-1.524	0.127579	-0.042604	0.009123	Retain
194	196	383	397	0.9898	0.9647	0.9730	0.0251	1.772	0.076444	0.002101	0.048020	Retain
187	193	309	400	0.9689	0.7725	0.8364	0.1964	6.059	0.000000	0.148586	0.244238	Reject
184	185	331	339	0.9946	0.9764	0.9828	0.0182	1.532	0.125538	-0.001113	0.037500	Retain

Explanation

In this activity, each student popped two bags of microwave popcorn using the same microwave. Each row in the table represents the results of one student. One of the brands was Pop Secret and the second brand was Act II. Students flipped a coin and to determine which brand popcorn would be popped first.

A hypothesis test was then performed to see if there was a difference in the proportion of kernels that popped. The null hypothesis was H₀: p₁ = p₂, where sample 1 was Pop Secret and sample 2 was Act II.

Summary Results

This table shows which brand had a higher pop rate.

Brand	Statistical Tie	Pop Secret	Act II	Total
Count	7	2	3	12
Percent	58.3%	16.7%	25.0%	100.0%