Questions 9-14 will refer to this scenario: The amount of money spent on health care is an important issue for workers because many companies provide health insurance that only partially covers certain medical procedures. The director of employee benefits at a midsize company wants to determine whether the typical worker spends more than $350 per year on health care needs. A random sample of 6 workers is selected and data about spending on their families' health care needs during the past year was collected. Assume that the distribution of health care spending by the workers is normal. Question 9 (1 point) Identify the null hypothesis for this test. ? = 350$/year
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The null hypothesis (H0) is a statement that there is no difference or no effect. In this case, the null hypothesis would be that the typical worker spends $350 per year on health care needs. Show more…
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3.62 Employer-Based Health Insurance A report from a Gallup poll $^{29}$ in 2011 started by saying, "Forty-five percent of American adults reported getting their health insurance from an employer...." Later in the article we find information on the sampling method, "a random sample of 147,291 adults, aged 18 and over, living in the US," and a sentence about the accuracy of the results, "the maximum margin of sampling error is ±1 percentage point." (a) What is the population? What is the sample? What is the population parameter of interest? What is the relevant statistic? (b) Use the margin of error $^{30}$ to give an interval showing plausible values for the parameter of interest. Interpret it in terms of getting health insurance from an employer.
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According to the Center on Budget and Policy Priorities' article "Curbing Flexible Spending Accounts Could Help Pay for Health Care Reform" (revised June $10,2009),$ flexible-spending accounts encourage the over consumption of health care. People buy things they do not need; otherwise they lose the money. In 2007 , for those who did not use all of their account (about one out of every seven), the average amount lost was $\$ 723$ Suppose a random sample of 150 employees who did not use all of their funds in 2009 is taken and an average amount of $\$ 683$ was lost. Test the hypothesis that there is no significant difference in the average amount forfeited. Assume that $\sigma=\$ 307$ per year. Use $\alpha=0.05$ a. Define the parameter. b. State the null and alternative hypotheses. c. Specify the hypothesis test criteria. d. Present the sample evidence. e. Find the probability distribution information. f. Determine the results.
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According to the federal government, $24 \%$ of workers covered by their company's health care plan were not required to contribute to the premium (Statistical Abstract of the United States: 2006 . A recent study found that 81 out of 400 workers sampled were not required to contribute to their company's health care plan. a. Develop hypotheses that can be used to test whether the percent of workers not required to contribute to their company's health care plan has declined. b. What is a point estimate of the proportion receiving free company-sponsored health care insurance? c. Has a statistically significant decline occurred in the proportion of workers receiving free company-sponsored health care insurance? Use $a=.05$
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