A golf analyst claims that the standard deviation of the 18-hole scores for a golfer is at least 3.9 strokes. State \( H_0 \) and \( H_a \) in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning. **State the null hypothesis in words and in symbols. Choose the correct answer below:** - **A.** The null hypothesis expressed in words is, "The standard deviation of the 18-hole scores for a golfer is not 3.9 strokes." The null hypothesis is expressed symbolically as, \( H_0: \sigma \neq 3.9 \). - **B.** The null hypothesis expressed in words is, "The standard deviation of the 18-hole scores for a golfer is at least 3.9 strokes." The null hypothesis is expressed symbolically as, \( H_0: \sigma \geq 3.9 \). - **C.** The null hypothesis expressed in words is, "The standard deviation of the 18-hole scores for a golfer is equal to 3.9 strokes." The null hypothesis is expressed symbolically as, \( H_0: \sigma = 3.9 \). - **D.** The null hypothesis expressed in words is, "The standard deviation of the 18-hole scores for a golfer is at most 3.9 strokes." The null hypothesis is expressed symbolically as, \( H_0: \sigma \leq 3.9 \). The correct option should establish whether the hypothesis test for the claim is left-tailed, right-tailed, or two-tailed. In this case, we need to test if the standard deviation is at least 3.9 strokes, which generally implies a right-tailed test. **Transcription of Image for Educational Website** A golf analyst claims that the standard deviation of the 18-hole scores for a golfer is at least 3.9 strokes. State \( H_0 \) and \( H_a \) in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning. State the alternative hypothesis in words and in symbols. Choose the correct answer below: - **A.** The alternative hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is more than 3.9 strokes." The alternative hypothesis is expressed symbolically as, \( H_a: \sigma > 3.9 \). - **B.** The alternative hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is 3.9 strokes." The alternative hypothesis is expressed symbolically as, \( H_a: \sigma = 3.9 \). - **C.** The alternative hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is less than 3.9 strokes." The alternative hypothesis is expressed symbolically as, \( H_a: \sigma < 3.9 \). - **D.** The alternative hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is not 3.9 strokes." The alternative hypothesis is expressed symbolically as, \( H_a: \sigma \neq 3.9 \). The hypothesis test is [ ] because the [ ] contains [ ]. **Explanation of the Diagram/Interactive Element:** The provided section appears to be an interactive multiple-choice question, likely part of an online educational activity related to hypothesis testing in a statistics course. Students are expected to analyze the claim about the standard deviation and select the appropriate alternative hypothesis. They also need to determine and justify the type of hypothesis test based on the context of the data or claim. The answer selection, once chosen, can be confirmed by clicking "Next" to proceed.