Problem 9 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 UnitedStates: 2006). A recent study found that 81 out of 400 workers sampled were not required to contribute to their company's health care plan. Has the percent of workers not required to contribute to their company's health plan decreased? Test at the 99% confidence level.

Report an appropriate hypothesis test for a positive linear relationship and use a 5% significance level. Explain the potential error in words, in context. In the answer options below I have used the phrase “a certain relationship” because I don’t want to give away exactly what type of relationship it is. Group of answer choices We would be accepting that there was a certain relationship between Sale amount and Tip when actually there wasn’t. We would not be accepting that there was a certain relationship between Sale amount and Tip when indeed there wasn’t. We would not be accepting that there was a certain relationship between Sale amount and Tip when actually there was. We would be accepting that there was a certain relationship between Sale amount and Tip when indeed there was.

You may need to use the appropriate appendix table or technology to answer this question. A survey asked senior executives at large corporations their opinions about the economic outlook for the future. One question was, "Do you think that there will be an increase in the number of full-time employees at your company over the next 12 months?" In the current survey, 228 of 400 executives answered Yes, while in a previous year survey, 176 of 400 executives had answered Yes. Provide a 95% confidence interval estimate for the difference between the proportions at the two points in time. (Use current year previous year. Round your answer to four decimal places.) to What is your interpretation of the interval estimate? The 95% confidence interval ---Select--- ✓zero. This suggests that the proportion of executives who are predicting an increase in full- time jobs for the current year is ---Select--- ✓ than the proportion of executives who were predicting an increase in full-time jobs for the…

9. A researcher wants to construct a 99% confidence interval for the proportion of Americans who think that the U.S. invading Iraq was an effective step in combating world terrorism. She has no initial idea of what that proportion is. How large should her sample size be if she wants the margin of error to be at most two percent? Show or explain your thinking.

A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned.   Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.”    Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations.   1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.

When you hold the mouse pointer over a point on the graph, the specific value corresponding to that point appears (e.g., “California, 2013 - 19.4%”) as well as a line called “90% Confidence” followed by an range of values.  Generally speaking, what does the range of values denoted by “90% Confidence” indicate?

One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement, "I'm pleased with the way we divide the responsibilities for childcare." The ratings went from 1 (strongly agree) to 5 (strongly disagree). The table below contains ten of the paired responses for wives and husbands. Conduct a hypothesis test at the 5% level to see if wife's satisfaction levels are lower than their husband's satisfaction level (meaning that, within the partnership, the husband is happier than the wife). Wife's score 3 2 3 3 4 2 1 1 2 4 Husband's score 2 2 1 3 2 1 1 1 2 4 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) State the null hypothesis. H0: ?d = 0 H0: ?d > 0      H0: ?d < 0 H0: ?d ≠ 0 Part (b) State the alternative hypothesis. Ha: ?d > 0 Ha:…

9. According to a poll, eighty seven percent (87%) of California adults (440 out of 506 surveyed) feel that education is one of the top issues facing California. We wish to construct a ninety percent (90%) confidence interval for the true proportion of California adults who feel that education is one of the top issues facing California.What is a point estimate for the true population proportion?

The picture is attached. If it is not clear, the shaded region of the graph represents 5%. Thanks in advance.

Please answer all questions in detail