In randomized, double-blind clinical trials of a new vaccine, children were randomly divided into two groups. Subjects in group x received the new vaccine while subjects in group y received a control vaccine. After the first dose, 118 of 728 subjects in the experimental group (group x) experienced vomiting as a side effect. After the first dose, 68 of 639 of the subjects in the control group (group y) experienced vomiting as a side effect. Construct a 99% confidence interval for the difference between the two population proportions, Px - Py- The 99% confidence interval for P -P, is ( . ). (Round to three decimal places as needed.)

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In randomized, double-blind clinical trials of a new vaccine, children were randomly divided into two groups. Subjects in group x received the new vaccine while
subjects in group y received a control vaccine. After the first dose, 118 of 728 subjects in the experimental group (group x) experienced vomiting as a side effect. After
the first dose, 68 of 639 of the subjects in the control group (group y) experienced vomiting as a side effect. Construct a 99% confidence interval for the difference
between the two population proportions, Px - Py:
The 99% confidence interval for Px - Py
-P.. is
(Round to three decimal places as needed.)
Transcribed Image Text:In randomized, double-blind clinical trials of a new vaccine, children were randomly divided into two groups. Subjects in group x received the new vaccine while subjects in group y received a control vaccine. After the first dose, 118 of 728 subjects in the experimental group (group x) experienced vomiting as a side effect. After the first dose, 68 of 639 of the subjects in the control group (group y) experienced vomiting as a side effect. Construct a 99% confidence interval for the difference between the two population proportions, Px - Py: The 99% confidence interval for Px - Py -P.. is (Round to three decimal places as needed.)
Supermarket shoppers were observed and questioned immediately after putting an item in their cart. Of a random sample of 280 choosing a product at the regular
price, 202 claimed to check the price before putting the item in their cart. Of an independent random sample of 220 choosing a product at a special price, 173 made this
claim. Find a 99% confidence interval for the difference between the two population proportions.
Let Py be the population proportion of shoppers choosing a product at the regular price who claim to check the price before putting it into their cart and let Py
be the
population proportion of shoppers choosing a product at a special price who claim to check the price before putting it into their cart.
The 99% confidence interval is
|<Px-Py*
X
(Round to four decimal places as needed.)
Transcribed Image Text:Supermarket shoppers were observed and questioned immediately after putting an item in their cart. Of a random sample of 280 choosing a product at the regular price, 202 claimed to check the price before putting the item in their cart. Of an independent random sample of 220 choosing a product at a special price, 173 made this claim. Find a 99% confidence interval for the difference between the two population proportions. Let Py be the population proportion of shoppers choosing a product at the regular price who claim to check the price before putting it into their cart and let Py be the population proportion of shoppers choosing a product at a special price who claim to check the price before putting it into their cart. The 99% confidence interval is |<Px-Py* X (Round to four decimal places as needed.)
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