Activity 8 Data

Section 1

Pop Secret		Act II		Proportions				Test Statistic	p-value	95% Conf Int		Reject Null?
Pop	Total	Pop	Total	P.S.	Act II	Pooled	Diff	Test Statistic	p-value	lower	upper	Reject Null?
411	449	414	425	0.9154	0.9741	0.9439	-0.0588	-3.774	0.000	-0.088595	-0.028906	Yes
445	464	427	442	0.9591	0.9661	0.9625	-0.0070	-0.555	0.579	-0.031711	0.017688	No
413	540	369	503	0.7648	0.7336	0.7498	0.0312	1.163	0.245	-0.021434	0.083867	No
376	448	403	430	0.8393	0.9372	0.8872	-0.0979	-4.586	0.000	-0.138940	-0.056907	Yes
424	443	426	441	0.9571	0.9660	0.9615	-0.0089	-0.686	0.493	-0.034217	0.016465	No
352	398	442	488	0.8844	0.9057	0.8962	-0.0213	-1.035	0.301	-0.062043	0.019411	No
485	517	407	440	0.9381	0.9250	0.9321	0.0131	0.803	0.422	-0.019100	0.045309	No
346	425	331	406	0.8141	0.8153	0.8147	-0.0012	-0.043	0.966	-0.054000	0.051694	No
313	468	304	444	0.6688	0.6847	0.6765	-0.0159	-0.512	0.608	-0.076594	0.044832	No
139	412	215	449	0.3374	0.4788	0.4111	-0.1415	-4.214	0.000	-0.206421	-0.076506	Yes
306	461	392	439	0.6638	0.8929	0.7756	-0.2292	-8.237	0.000	-0.281090	-0.177239	Yes
357	452	376	428	0.7898	0.8785	0.8330	-0.0887	-3.525	0.000	-0.137352	-0.040011	Yes
324	333	352	380	0.9730	0.9263	0.9481	0.0467	2.802	0.005	0.015140	0.078175	Yes
363	378	323	357	0.9603	0.9048	0.9333	0.0556	3.018	0.003	0.019300	0.091811	Yes
386	455	408	431	0.8484	0.9466	0.8962	-0.0983	-4.793	0.000	-0.137481	-0.059087	Yes
401	434	423	444	0.9240	0.9527	0.9385	-0.0287	-1.772	0.076	-0.060547	0.003068	No
515	554	176	391	0.9296	0.4501	0.7312	0.4795	16.375	0.000	0.425758	0.533192	Yes
457	486	454	472	0.9403	0.9619	0.9509	-0.0215	-1.543	0.123	-0.048776	0.005705	No
432	486	436	464	0.8889	0.9397	0.9137	-0.0508	-2.785	0.005	-0.086123	-0.015409	Yes

Section 2

Pop Secret		Act II		Proportions				Test Statistic	p-value	95% Conf Int		Reject Null?
Pop	Total	Pop	Total	P.S.	Act II	Pooled	Diff	Test Statistic	p-value	lower	upper	Reject Null?
415	447	394	412	0.9284	0.9563	0.9418	-0.0279	-1.745	0.081	-0.058895	0.003097	No
414	436	408	417	0.9495	0.9784	0.9637	-0.0289	-2.253	0.024	-0.053709	-0.004043	Yes
418	439	415	464	0.9522	0.8944	0.9225	0.0578	3.244	0.001	0.023409	0.092126	Yes
453	474	439	448	0.9557	0.9799	0.9675	-0.0242	-2.071	0.038	-0.046841	-0.001588	Yes
265	380	286	412	0.6974	0.6942	0.6957	0.0032	0.098	0.922	-0.060938	0.067326	No
353	480	347	442	0.7354	0.7851	0.7592	-0.0497	-1.762	0.078	-0.104640	0.005337	No
166	453	381	421	0.3664	0.9050	0.6259	-0.5385	-16.440	0.000	-0.591014	-0.486070	Yes
196	358	330	436	0.5475	0.7569	0.6625	-0.2094	-6.209	0.000	-0.274814	-0.143976	Yes
481	518	415	437	0.9286	0.9497	0.9382	-0.0211	-1.348	0.178	-0.051287	0.009116	No
342	461	355	446	0.7419	0.7960	0.7685	-0.0541	-1.931	0.053	-0.108821	0.000624	No
481	535	397	488	0.8991	0.8135	0.8583	0.0855	3.918	0.000	0.042578	0.128503	Yes
411	451	496	514	0.9113	0.9650	0.9399	-0.0537	-3.500	0.000	-0.084348	-0.022997	Yes
195	460	301	350	0.4239	0.8600	0.6123	-0.4361	-12.619	0.000	-0.494060	-0.378114	Yes
398	453	475	486	0.8786	0.9774	0.9297	-0.0988	-5.917	0.000	-0.131634	-0.065924	Yes
402	462	461	476	0.8701	0.9685	0.9200	-0.0984	-5.553	0.000	-0.132795	-0.063920	Yes
412	473	452	495	0.8710	0.9131	0.8926	-0.0421	-2.114	0.035	-0.081184	-0.003007	Yes
309	458	375	424	0.6747	0.8844	0.7755	-0.2098	-7.460	0.000	-0.262364	-0.157159	Yes
394	434	406	438	0.9078	0.9269	0.9174	-0.0191	-1.025	0.305	-0.055638	0.017425	No

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.