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. a. 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%? Determine the null and alternative hypotheses. O A. Ho: 0.204; H₁: = 0.204 ( B. Họ: Ts0.204; Hạ: a > 0.204 OC. Ho: 20.204; H₁: <0.204 O D. Ho: = 0.204; H₁: #0.204 Calculate the test statistic. ZSTAT = (Type an integer or a decimal. Round to two decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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.**

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**a. 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%?**

Determine the null and alternative hypotheses.

- **Option A:** \( H_0: \pi \neq 0.204; \ H_1: \pi = 0.204 \)
- **Option B:** \( H_0: \pi \leq 0.204; \ H_1: \pi > 0.204 \) [Correct Choice]
- **Option C:** \( H_0: \pi = 0.204; \ H_1: \pi < 0.204 \)
- **Option D:** \( H_0: \pi = 0.204; \ H_1: \pi \neq 0.204 \)

**Calculate the test statistic.**

\( Z_{\text{STAT}} = \) ☐ (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.** --- **a. 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%?** Determine the null and alternative hypotheses. - **Option A:** \( H_0: \pi \neq 0.204; \ H_1: \pi = 0.204 \) - **Option B:** \( H_0: \pi \leq 0.204; \ H_1: \pi > 0.204 \) [Correct Choice] - **Option C:** \( H_0: \pi = 0.204; \ H_1: \pi < 0.204 \) - **Option D:** \( H_0: \pi = 0.204; \ H_1: \pi \neq 0.204 \) **Calculate the test statistic.** \( Z_{\text{STAT}} = \) ☐ (Type an integer or a decimal. Round to two decimal places as needed.)
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