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. H₂: #0.204; H₁: = 0.204 ( B. Họ: Ts0.204; Hạ: a > 0.204 OC. H₂:20.204; H₁: < 0.204 0.204 O D. Ho: 0.204; H₁: (…) Calculate the test statistic. ZSTAT = (Type an integer or a decimal. Round to two decimal places as needed.)

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**Transcription for Educational Website**

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**Hypothesis Testing of Browser Market Share**

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. Hypothesis Testing at a 0.05 Level of Significance**

**Question:** Is there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.4%?

**Steps:**

1. **Determine the Null and Alternative Hypotheses.**

   - **Option A:**  
     \(H_0: \pi \ne 0.204\); \(H_1: \pi = 0.204\)

   - **Option B (Correct):**  
     \(H_0: \pi \le 0.204\); \(H_1: \pi > 0.204\)

   - **Option C:**  
     \(H_0: \pi \ge 0.204\); \(H_1: \pi < 0.204\)

   - **Option D:**  
     \(H_0: \pi = 0.204\); \(H_1: \pi \ne 0.204\)

2. **Calculate the Test Statistic.**

   - \(Z_{STAT} =\) [Type an integer or a decimal. Round to two decimal places as needed.]

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In this section, you are presented with four different hypothesis scenarios to determine the statistical significance of a higher market share at the university compared to the global market share. Option B is the suitable choice since it specifically tests if the university's market share is greater than the global share. 

The next step involves calculating the Z-statistic, which will be a numerical representation of this hypothesis test.

Remember, in hypothesis testing, you are looking for evidence to possibly reject the null hypothesis in favor of the alternative hypothesis.
Transcribed Image Text:**Transcription for Educational Website** --- **Hypothesis Testing of Browser Market Share** 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. Hypothesis Testing at a 0.05 Level of Significance** **Question:** Is there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.4%? **Steps:** 1. **Determine the Null and Alternative Hypotheses.** - **Option A:** \(H_0: \pi \ne 0.204\); \(H_1: \pi = 0.204\) - **Option B (Correct):** \(H_0: \pi \le 0.204\); \(H_1: \pi > 0.204\) - **Option C:** \(H_0: \pi \ge 0.204\); \(H_1: \pi < 0.204\) - **Option D:** \(H_0: \pi = 0.204\); \(H_1: \pi \ne 0.204\) 2. **Calculate the Test Statistic.** - \(Z_{STAT} =\) [Type an integer or a decimal. Round to two decimal places as needed.] --- In this section, you are presented with four different hypothesis scenarios to determine the statistical significance of a higher market share at the university compared to the global market share. Option B is the suitable choice since it specifically tests if the university's market share is greater than the global share. The next step involves calculating the Z-statistic, which will be a numerical representation of this hypothesis test. Remember, in hypothesis testing, you are looking for evidence to possibly reject the null hypothesis in favor of the alternative hypothesis.
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