A consumer group is investigating two brands of popcom, Rand S. The population proportion of kernels that will pop for Brand R is 0.90. The population proportion of kernels that will pop for Brands is 0.85. Two independent random samples were taken from the population. The following table shows the sample statistics.
Number of Kernels in Samples Proportion from Sample that Popped
Brand R
Brands
100
0.92
200
0.89
The consumer group claims that for all samples of size 100 kernels from Brand Rand 200 kernels from Brand S, the mean of all possible differences in sample proportions (Brand R minus Brand
S) is 0.03. is the consumer group's claim correct?
A Yes. The mean is 0.02 -0.89 = 0.03
No. The mean is
0 0 W
2
-0.005
No. The mean is
002 OND
2
-0.015
5
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D
No. The mean is
0.00 ONS
0.875
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