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
183 185 303 375 0.9892 0.8080 0.8679 0.1812 5.955 0.000000 0.138630 0.223748 Reject
175 187 355 404 0.9358 0.8787 0.8968 0.0571 2.123 0.033791 0.009713 0.104519 Reject
163 178 368 380 0.9157 0.9684 0.9516 -0.0527 -2.703 0.006862 -0.097127 -0.008255 Reject
169 179 377 397 0.9441 0.9496 0.9479 -0.0055 -0.274 0.783819 -0.045424 0.034447 Retain
179 187 406 409 0.9572 0.9927 0.9815 -0.0354 -2.983 0.002852 -0.065606 -0.005286 Reject
115 120 356 402 0.9583 0.8856 0.9023 0.0728 2.356 0.018482 0.025363 0.120159 Reject
193 203 360 387 0.9507 0.9302 0.9373 0.0205 0.976 0.329059 -0.018615 0.059628 Retain
187 195 374 402 0.9590 0.9303 0.9397 0.0286 1.378 0.168205 -0.008714 0.065966 Retain
149 188 340 383 0.7926 0.8877 0.8564 -0.0952 -3.048 0.002307 -0.161199 -0.029151 Reject
167 178 295 380 0.9382 0.7763 0.8280 0.1619 4.723 0.000002 0.107053 0.216720 Reject
156 167 328 347 0.9341 0.9452 0.9416 -0.0111 -0.503 0.614725 -0.055704 0.033477 Retain
153 157 389 417 0.9745 0.9329 0.9443 0.0417 1.940 0.052431 0.007252 0.076086 Retain
178 182 377 392 0.9780 0.9617 0.9669 0.0163 1.015 0.310112 -0.012249 0.044824 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
150 171 306 372 0.8772 0.8226 0.8398 0.0546 1.611 0.107081 -0.008054 0.117279 Retain
163 172 295 307 0.9477 0.9609 0.9562 -0.0132 -0.679 0.497238 -0.052955 0.026480 Retain
126 168 401 413 0.7500 0.9709 0.9071 -0.2209 -8.316 0.000000 -0.288396 -0.153492 Reject
198 209 372 428 0.9474 0.8692 0.8948 0.0782 3.021 0.002519 0.034196 0.122223 Reject
153 181 341 355 0.8453 0.9606 0.9216 -0.1153 -4.696 0.000003 -0.171697 -0.058822 Reject
128 169 401 436 0.7574 0.9197 0.8744 -0.1623 -5.405 0.000000 -0.231806 -0.092850 Reject
151 169 367 392 0.8935 0.9362 0.9234 -0.0427 -1.746 0.080887 -0.095157 0.009691 Retain
154 165 360 396 0.9333 0.9091 0.9162 0.0242 0.944 0.345009 -0.023195 0.071680 Retain
155 193 344 366 0.8031 0.9399 0.8927 -0.1368 -4.967 0.000001 -0.197940 -0.075624 Reject
148 189 352 378 0.7831 0.9312 0.8818 -0.1481 -5.152 0.000000 -0.212208 -0.084089 Reject
163 166 405 416 0.9819 0.9736 0.9759 0.0084 0.595 0.551813 -0.017093 0.033833 Retain
169 182 340 379 0.9286 0.8971 0.9073 0.0315 1.203 0.228805 -0.016854 0.079802 Retain
133 152 352 376 0.8750 0.9362 0.9186 -0.0612 -2.327 0.019973 -0.119262 -0.003078 Reject
122 129 280 338 0.9457 0.8284 0.8608 0.1173 3.275 0.001055 0.061264 0.173404 Reject
166 174 315 357 0.9540 0.8824 0.9058 0.0717 2.654 0.007949 0.026004 0.117336 Reject
154 164 387 404 0.9390 0.9579 0.9525 -0.0189 -0.959 0.337484 -0.060423 0.022630 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 13 7 9 29
Percent 44.8% 24.1% 31.0% 100.0%