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
190 194 400 418 0.9794 0.9569 0.9641 0.0224 1.388 0.165204 -0.005459 0.050346 Retain
176 178 406 413 0.9888 0.9831 0.9848 0.0057 0.520 0.602837 -0.014155 0.025581 Retain
168 183 357 412 0.9180 0.8665 0.8824 0.0515 1.800 0.071812 -0.000029 0.103085 Retain
144 171 397 426 0.8421 0.9319 0.9062 -0.0898 -3.403 0.000666 -0.149478 -0.030162 Reject
164 179 495 508 0.9162 0.9744 0.9592 -0.0582 -3.387 0.000707 -0.101060 -0.015357 Reject
171 185 464 576 0.9243 0.8056 0.8344 0.1188 3.781 0.000156 0.068798 0.168740 Reject
124 183 405 443 0.6776 0.9142 0.8450 -0.2366 -7.442 0.000000 -0.309192 -0.164059 Reject
166 182 384 423 0.9121 0.9078 0.9091 0.0043 0.168 0.866427 -0.045237 0.053809 Retain
170 173 347 376 0.9827 0.9229 0.9417 0.0598 2.778 0.005474 0.026536 0.093037 Reject
175 183 366 394 0.9563 0.9289 0.9376 0.0274 1.264 0.206205 -0.011652 0.066353 Retain
174 188 382 394 0.9255 0.9695 0.9553 -0.0440 -2.403 0.016243 -0.085196 -0.002826 Reject

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 5 2 4 11
Percent 45.5% 18.2% 36.4% 100.0%