b. Suppose that a sample of n = 400 students at the same university (instead of n = 100) determines that 25% of the sample use the web browser. At the 0.05 level of significance, there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.4%? Calculate the test statistic for the second sample. ZSTAT (Type an integer or a decimal. Round to two decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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The worldwide market share for a web browser was 20.4% in a recent month. Suppose that a sample of 100 random students at a certain university finds that 25 use the browser.
Complete parts (a) through (d) below.
C
ⒸD. n. ¹$U.204, ₁.¹0.204
OC. Ho: 20.204; H₁: < 0.204
O D. H₂: = 0.204; H₁: #0.204
Calculate the test statistic.
ZSTAT = 1.14 (Type an integer or a decimal. Round to two decimal places as needed.)
What is the p-value?
The p-value is 0.127.
(Type an integer or a decimal. Round to three decimal places as needed.)
State the conclusion of the test.
Do not reject the null hypothesis. There is insufficient evidence to conclude that the market share at the university is greater than the worldwide market share of 20.4%.
b. Suppose that a sample of n = 400 students at the same university (instead of n = 100) determines that 25% of the sample use the web browser. At the 0.05 level of significance, is
there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.4%?
Calculate the test statistic for the second sample.
ZSTAT = (Type an integer or a decimal. Round to two decimal places as needed.)
Transcribed Image Text:The worldwide market share for a web browser was 20.4% in a recent month. Suppose that a sample of 100 random students at a certain university finds that 25 use the browser. Complete parts (a) through (d) below. C ⒸD. n. ¹$U.204, ₁.¹0.204 OC. Ho: 20.204; H₁: < 0.204 O D. H₂: = 0.204; H₁: #0.204 Calculate the test statistic. ZSTAT = 1.14 (Type an integer or a decimal. Round to two decimal places as needed.) What is the p-value? The p-value is 0.127. (Type an integer or a decimal. Round to three decimal places as needed.) State the conclusion of the test. Do not reject the null hypothesis. There is insufficient evidence to conclude that the market share at the university is greater than the worldwide market share of 20.4%. b. Suppose that a sample of n = 400 students at the same university (instead of n = 100) determines that 25% of the sample use the web browser. At the 0.05 level of significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.4%? Calculate the test statistic for the second sample. ZSTAT = (Type an integer or a decimal. Round to two decimal places as needed.)
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