A manufacturer of bottled tea runs a promotion in Using the dotplot and the proportion of winners in the store owner's sample, is there convincing evidence which consumers can win a free bottle of tea if the cap of the bottle says "Winner." The manufacturer that the manufacturer's claim is wrong? claims that 1 in 5 bottles is a winner. A store owner notices that several of the first bottles of tea sold were Yes, because a proportion of 0.4 or more occurred winners. Suspecting the manufacturer's claim is false, 25 out of 100 times, the sample proportion of the store owner decides to randomly select 10 bottles of tea from the next shipment from the manufacturer. winners is statistically significant and there is convincing evidence that the manufacturer's claim is false. She is again surprised when 4 of the bottles are winners. Assuming the manufacturer's claim is true, Yes, because a proportion of 0.4 or less occurred 75 out of 100 times, the sample proportion of she simulates 100 values of selecting winners in 10 bottles. The dotplot displays these simulated proportions. winners is statistically significant and there is convincing evidence that the manufacturer's claim is false. Simulated Proportion of Winners out of Ten No, because a proportion of 0.4 or more occurred 25 out of 100 times, the sample proportion of winners is not statistically significant and there is not convincing evidence that the manufacturer's

MATLAB: An Introduction with Applications
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Using the dotplot and the proportion of winners in the
store owner's sample, is there convincing evidence
that the manufacturer's claim is wrong?
A manufacturer of bottled tea runs a promotion in
which consumers can win a free bottle of tea if the
cap of the bottle says "Winner." The manufacturer
claims that 1 in 5 bottles is a winner. A store owner
Yes, because a proportion of 0.4 or more occurred
25 out of 100 times, the sample proportion of
notices that several of the first bottles of tea sold were
winners. Suspecting the manufacturer's claim is false,
the store owner decides to randomly select 10 bottles
of tea from the next shipment from the manufacturer.
She is again surprised when 4 of the bottles are
winners is statistically significant and there is
convincing evidence that the manufacturer's claim
is false.
Yes, because a proportion of 0.4 or less occurred
75 out of 100 times, the sample proportion of
winners. Assuming the manufacturer's claim is true,
she simulates 100 values of selecting winners in 10
bottles. The dotplot displays these simulated
proportions.
winners is statistically significant and there is
convincing evidence that the manufacturer's claim
is false.
Simulated Proportion
of Winners out of Ten
No, because a proportion of 0.4 or more occurred
25 out of 100 times, the sample proportion of
winners is not statistically significant and there is
not convincing evidence that the manufacturer's
Transcribed Image Text:Using the dotplot and the proportion of winners in the store owner's sample, is there convincing evidence that the manufacturer's claim is wrong? A manufacturer of bottled tea runs a promotion in which consumers can win a free bottle of tea if the cap of the bottle says "Winner." The manufacturer claims that 1 in 5 bottles is a winner. A store owner Yes, because a proportion of 0.4 or more occurred 25 out of 100 times, the sample proportion of notices that several of the first bottles of tea sold were winners. Suspecting the manufacturer's claim is false, the store owner decides to randomly select 10 bottles of tea from the next shipment from the manufacturer. She is again surprised when 4 of the bottles are winners is statistically significant and there is convincing evidence that the manufacturer's claim is false. Yes, because a proportion of 0.4 or less occurred 75 out of 100 times, the sample proportion of winners. Assuming the manufacturer's claim is true, she simulates 100 values of selecting winners in 10 bottles. The dotplot displays these simulated proportions. winners is statistically significant and there is convincing evidence that the manufacturer's claim is false. Simulated Proportion of Winners out of Ten No, because a proportion of 0.4 or more occurred 25 out of 100 times, the sample proportion of winners is not statistically significant and there is not convincing evidence that the manufacturer's
75 out of 100 times, the sample proportion of
she simulates 100 values of selecting winners in 10
bottles. The dotplot displays these simulated
proportions.
winners is statistically significant and there is
convincing evidence that the manufacturer's claim
is false.
Simulated Proportion
of Winners out of Ten
No, because a proportion of 0.4 or more occurred
25 out of 100 times, the sample proportion of
winners is not statistically significant and there is
not convincing evidence that the manufacturer's
claim is false.
No, because a proportion of 0.4 or less occurred
75 out of 100 times, the sample proportion of
winners is not statistically significant and there is
not convincing evidence that the manufacturer's
claim is false.
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7
Proportion of winning bottles
Transcribed Image Text:75 out of 100 times, the sample proportion of she simulates 100 values of selecting winners in 10 bottles. The dotplot displays these simulated proportions. winners is statistically significant and there is convincing evidence that the manufacturer's claim is false. Simulated Proportion of Winners out of Ten No, because a proportion of 0.4 or more occurred 25 out of 100 times, the sample proportion of winners is not statistically significant and there is not convincing evidence that the manufacturer's claim is false. No, because a proportion of 0.4 or less occurred 75 out of 100 times, the sample proportion of winners is not statistically significant and there is not convincing evidence that the manufacturer's claim is false. 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 Proportion of winning bottles
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