Kava is a beverage or extract that is made from Piper methysticum, a plant native to the western Pacific islands. Suppose tha in a randomized comparative experiment to determine if taking kava daily can reduce insomnia, a group of participants with insomnia were randomly assigned to take kava (treatment group) or a placebo (control group). After six weeks, the participants were interviewed to see if they experienced a decrease in insomnia. The table shows the results from the sample The counts are the number of people in each group who experienced a decrease in insomnia. Population Group Description Sample size Sample count Sample proportion proportion 1 Treatment (kava) n¡ = 402 X1 = 213 PI = 0.5299 P1 2 Control (placebo) P2 n2 = 521 x2 = 121 P2 = 0.2322 Compute the standard error estimate, SE, of the difference in the sample proportions. Give your answer to at least four decimal places. 0.0438 SE = Incorrect Determine the value of the two-sample z-statistic for the difference in the two proportions, pi – P2. Give your answer to at least four decimals places. 7.8417 z =

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Kava is a beverage or extract that is made from Piper methysticum, a plant native to the western Pacific islands. Suppose that,
in a randomized comparative experiment to determine if taking kava daily can reduce insomnia, a group of participants with
insomnia were randomly assigned to take kava (treatment group) or a placebo (control group). After six weeks, the
participants were interviewed to see if they experienced a decrease in insomnia. The table shows the results from the sample.
The counts are the number of people in each group who experienced a decrease in insomnia.
Group
Description
Population
proportion
Sample size Sample count
Sample proportion
1
Treatment (kava)
P1
n₁ = 402
x1 = 213
P₁ = 0.5299
2 Control (placebo)
P2
n₂ = 521
x₂ = 121
P2 = 0.2322
Compute the standard error estimate, SE, of the difference in the sample proportions. Give your answer to at least four
decimal places.
0.0438
SE =
Incorrect
Determine the value of the two-sample z-statistic for the difference in the two proportions, p₁ - P2. Give your answer to at
least four decimals places.
7.8417
z =
Transcribed Image Text:Kava is a beverage or extract that is made from Piper methysticum, a plant native to the western Pacific islands. Suppose that, in a randomized comparative experiment to determine if taking kava daily can reduce insomnia, a group of participants with insomnia were randomly assigned to take kava (treatment group) or a placebo (control group). After six weeks, the participants were interviewed to see if they experienced a decrease in insomnia. The table shows the results from the sample. The counts are the number of people in each group who experienced a decrease in insomnia. Group Description Population proportion Sample size Sample count Sample proportion 1 Treatment (kava) P1 n₁ = 402 x1 = 213 P₁ = 0.5299 2 Control (placebo) P2 n₂ = 521 x₂ = 121 P2 = 0.2322 Compute the standard error estimate, SE, of the difference in the sample proportions. Give your answer to at least four decimal places. 0.0438 SE = Incorrect Determine the value of the two-sample z-statistic for the difference in the two proportions, p₁ - P2. Give your answer to at least four decimals places. 7.8417 z =
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