18. There was a survey being conducted wherein 1,500 male adults were asked about attitudes toward the so-called alternative medicine such as acupuncture, massage therapy and the like. Among the 1,500 respondents, 660 of them said that they would use alternative medicine if the well-known traditional medicine would not produce the results they wanted. The researcher wants to determine if these data provide enough evidence to suggest less than half of all male adults would use alternative medicine if traditional medicine would not produce the desired results. 5% was used as the significance level. Based on your own understanding, which is the right conclusion for this test?*A. Since the p-value = 0.001 < 0.05, I will reject Ho since there is enough evidence to suggest that the proportion is less than half.B. Since the p-value = 0.001 < 0.05, I will fail to reject Ho since there is not enough evidence to suggest that the proportion is less than half.C. Since p-value = 0.001 > 0.05, I will reject Ho since there is enough evidence to suggest that the proportion is less than half.D. Since p-value = 0.001 < 0.05, I will fail to reject Ho since there is enough evidence to suggest that the proportion is less than half.
Question
18. There was a survey being conducted wherein 1,500 male adults were asked about attitudes toward the so-called alternative medicine such as acupuncture, massage therapy and the like. Among the 1,500 respondents, 660 of them said that they would use alternative medicine if the well-known traditional medicine would not produce the results they wanted. The researcher wants to determine if these data provide enough evidence to suggest less than half of all male adults would use alternative medicine if traditional medicine would not produce the desired results. 5% was used as the significance level. Based on your own understanding, which is the right conclusion for this test?*A. Since the p-value = 0.001 < 0.05, I will reject Ho since there is enough evidence to suggest that the proportion is less than half.B. Since the p-value = 0.001 < 0.05, I will fail to reject Ho since there is not enough evidence to suggest that the proportion is less than half.C. Since p-value = 0.001 > 0.05, I will reject Ho since there is enough evidence to suggest that the proportion is less than half.D. Since p-value = 0.001 < 0.05, I will fail to reject Ho since there is enough evidence to suggest that the proportion is less than half.
Solution
The correct answer is A. Since the p-value = 0.001 < 0.05, I will reject Ho since there is enough evidence to suggest that the proportion is less than half.
Here's the step-by-step reasoning:
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The null hypothesis (Ho) in this case would be that half or more of all male adults would use alternative medicine if traditional medicine would not produce the desired results.
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The alternative hypothesis (Ha) would be that less than half of all male adults would use alternative medicine if traditional medicine would not produce the desired results.
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The p-value is a measure of the probability that the observed data would occur given that the null hypothesis is true. A smaller p-value indicates that it is less likely that the observed data would occur if the null hypothesis were true.
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In this case, the p-value is 0.001, which is less than the significance level of 0.05. This means that the probability of observing the data (660 out of 1500 male adults saying they would use alternative medicine if traditional medicine did not work) if the null hypothesis were true (half or more would use alternative medicine) is very low.
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Therefore, we reject the null hypothesis in favor of the alternative hypothesis. This suggests that less than half of all male adults would use alternative medicine if traditional medicine did not produce the desired results.
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