Some sleep experts believe that sleep apnea is more in men than in the general population. In other words, they claim that the percentage of men who suffer from sleep apnea is greater than 8% (which is the percent believed to affect the population in general). To test this claim, one sleep expert interviews 50 men and determines that 7 of these men suffer from sleep apnea. Does this evidence support the claim at that the percentage of men who suffer from sleep apnea is more than 8%? Use a 0.02 level of significance What are the hypotheses? What is the test statistic? Is it a z or a t? Find the P-value for this test statistic. How does it compare to the significance level? On the normal curve, indicate the location of the test statistic and the p-value. (label them on the graph) Write a conclusion in statistical terms and relate it to the parameters of this problem.
- Some sleep experts believe that sleep apnea is more in men than in the general population. In other words, they claim that the percentage of men who suffer from sleep apnea is greater than 8% (which is the percent believed to affect the population in general). To test this claim, one sleep expert interviews 50 men and determines that 7 of these men suffer from sleep apnea. Does this evidence support the claim at that the percentage of men who suffer from sleep apnea is more than 8%? Use a 0.02 level of significance
- What are the hypotheses?
- What is the test statistic? Is it a z or a t?
- Find the P-value for this test statistic. How does it compare to the significance level? On the normal curve, indicate the location of the test statistic and the p-value. (label them on the graph)
- Write a conclusion in statistical terms and relate it to the parameters of this problem.
Note: The following is not a hypothesis test, but rather a question requiring a worded response. There is no significance level given, but you need to decide whether or not the evidence supports or does not support the alternative. Explain why.
- A manufacturer claims that the mean weight of flour in its 32- ounce bags is 32.0 ounces. A z-test is performed to determine whether the mean weight is actually less than this. The hypotheses are as follows:
H0: m =32 oz
Ha: m < 32 oz
The mean weight for a sample of 45 bags of flour was 30.7 oz. Suppose that the
P-value corresponding to this sample data is .2134 Give an interpretation of the
P-value. Does it seem reasonable (even without a significance level with which to compare) to say that the evidence is strong against the claim of the null? Explain the reasoning of your conclusion. For full credit, include the meaning of the p-value in your reasoning.
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