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 lower upper
158 185 336 424 0.8541 0.7925 0.8112 0.0616 1.786 0.074051 -0.002261 0.125463 Retain
141 172 370 383 0.8198 0.9661 0.9207 -0.1463 -5.899 0.000000 -0.206529 -0.086051 Reject
55 80 400 432 0.6875 0.9259 0.8887 -0.2384 -6.228 0.000000 -0.342955 -0.133897 Reject
186 198 295 325 0.9394 0.9077 0.9197 0.0317 1.294 0.195691 -0.014069 0.077472 Retain
183 191 392 443 0.9581 0.8849 0.9069 0.0732 2.912 0.003587 0.032124 0.114355 Reject
178 186 387 437 0.9570 0.8856 0.9069 0.0714 2.807 0.005001 0.029683 0.113129 Reject
172 175 418 437 0.9829 0.9565 0.9641 0.0263 1.581 0.113790 -0.000783 0.053454 Retain
169 184 393 416 0.9185 0.9447 0.9367 -0.0262 -1.217 0.223782 -0.071461 0.018994 Retain
167 169 398 415 0.9882 0.9590 0.9675 0.0291 1.799 0.071969 0.004040 0.054219 Retain

Section 2

Pop Secret Act II Proportions Test
Statistic
p-value 95% Conf Int Decision
Pop Total Pop Total P.S. Act II Pooled Diff lower upper
184 199 276 428 0.9246 0.6449 0.7337 0.2798 7.376 0.000000 0.221446 0.338080 Reject
187 189 330 433 0.9894 0.7621 0.8312 0.2273 6.960 0.000000 0.184618 0.269968 Reject
189 207 380 475 0.9130 0.8000 0.8343 0.1130 3.651 0.000262 0.060438 0.165649 Reject
194 199 369 431 0.9749 0.8561 0.8937 0.1187 4.494 0.000007 0.079096 0.158356 Reject
194 206 377 474 0.9417 0.7954 0.8397 0.1464 4.781 0.000002 0.097994 0.194784 Reject
196 203 417 423 0.9655 0.9858 0.9792 -0.0203 -1.667 0.095492 -0.047812 0.007216 Retain
197 202 427 440 0.9752 0.9705 0.9720 0.0048 0.342 0.732635 -0.021842 0.031427 Retain
78 80 420 441 0.9750 0.9524 0.9559 0.0226 0.906 0.364880 -0.016947 0.062185 Retain
180 197 493 532 0.9137 0.9267 0.9232 -0.0130 -0.585 0.558751 -0.058020 0.032048 Retain
180 182 301 317 0.9890 0.9495 0.9639 0.0395 2.277 0.022797 0.011021 0.067948 Reject
132 133 351 374 0.9925 0.9385 0.9527 0.0540 2.518 0.011812 0.025547 0.082410 Reject
133 194 369 384 0.6856 0.9609 0.8685 -0.2754 -9.251 0.000000 -0.343517 -0.207224 Reject
151 164 293 354 0.9207 0.8277 0.8571 0.0930 2.815 0.004877 0.035976 0.150120 Reject
158 179 352 424 0.8827 0.8302 0.8458 0.0525 1.631 0.102979 -0.006665 0.111650 Retain
160 162 372 412 0.9877 0.9029 0.9268 0.0847 3.509 0.000450 0.051478 0.118006 Reject
171 181 401 418 0.9448 0.9593 0.9549 -0.0146 -0.790 0.429682 -0.052872 0.023714 Retain
173 198 409 420 0.8737 0.9738 0.9417 -0.1001 -4.956 0.000001 -0.148792 -0.051352 Reject
178 182 322 430 0.9780 0.7488 0.8170 0.2292 6.703 0.000000 0.182990 0.275379 Reject
174 179 409 416 0.9721 0.9832 0.9798 -0.0111 -0.884 0.376791 -0.038226 0.016014 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 12 12 4 28
Percent 42.9% 42.9% 14.3% 100.0%