H_{0}: p₁ ✓ H_{1}:` |p₁ ✓ OF 11 itical value(s): q OF P₂ P₂ critical value and sketch the rejection region. Eetch of Rejection Region: -1 0 1 2 3 -3 -2 -1 0 1 2 3 9 OT -3 -2

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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I need the right answers to b, c, d.

In clinical trials of Nasonex, 3903 allergy patients were randomly divided into two groups. The patients in
the experimental group received Nasonex, while the patients in the control group received a placebo. Of
the 2317 patients in the experimental group, 540 reported headaches as a side effect. Of the 1586 patients
in the control group, 322 reported headaches as a side effect. Can you conclude that the proportion of
patients in the experimental group who experienced headaches as a side effect was greater than the
proportion in the control group? Use the `\alpha` = 0.02 level.
a. State the null and alternative hypotheses.
`H_{0}: p₁
`H_{1}:` piv
b. Find the critical value and sketch the rejection region.
Sketch of Rejection Region:
+ +
-3 -2 -1 0 1
Critical value(s):
2.05
X
2.22
+
c. Find the test statistic.
d. Find the p-value.
X
0.9868 X
+
2
P₂
3
O P₂
+ + +
-1 0
(If there are two critical values, list both values separated by a comma)
४
2 3 -3
?
+
+
-1 0
+
1
2
♂
४
Transcribed Image Text:In clinical trials of Nasonex, 3903 allergy patients were randomly divided into two groups. The patients in the experimental group received Nasonex, while the patients in the control group received a placebo. Of the 2317 patients in the experimental group, 540 reported headaches as a side effect. Of the 1586 patients in the control group, 322 reported headaches as a side effect. Can you conclude that the proportion of patients in the experimental group who experienced headaches as a side effect was greater than the proportion in the control group? Use the `\alpha` = 0.02 level. a. State the null and alternative hypotheses. `H_{0}: p₁ `H_{1}:` piv b. Find the critical value and sketch the rejection region. Sketch of Rejection Region: + + -3 -2 -1 0 1 Critical value(s): 2.05 X 2.22 + c. Find the test statistic. d. Find the p-value. X 0.9868 X + 2 P₂ 3 O P₂ + + + -1 0 (If there are two critical values, list both values separated by a comma) ४ 2 3 -3 ? + + -1 0 + 1 2 ♂ ४
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