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
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%