58. Which of the following null hypotheses is used to test if flve population proportions are the same? A. Ho: P1 p2 = P3 P4 ps 0.25 B. Ho: P1 p2 = P3 p4 0.25 C. Ho: P1 p2 = p3 P4 = 0.20 D. Ho: P1 p2 = P3 p4 ps 0.20 59. A fund manager wants to know if it is equally likely that the Dow Jones Industrial Average will go up each day of the week. For each day of the week, the fund manager observes the following number of days when the Dow Jones Industrial Average goes up. Day of the Week Observed Monday 192 Tuesday 189 Wednesday 202 Thursday 199 Friday 218 For the goodness-of-fit test, what are the degrees of freedom for the chi-squared test statistic? А. 4 В. 5 С. 6 D. 7 60. Suppose you want to determine if gender and major are independent. Which of the following tests should you use? A. Goodness-of-fit test for a multinomial experiment B. Chi-square test for independence C. Goodness-of-fit test for normality D. Jarque-Bera test for normality

Suppose that 6 people sign up for a weight loss program. You collect their weights before and after the program: The lower bound for the 95% Confidence Interval is ........... (round your answer to three decimal places). Person Before After 1 136 125 2 205 195 3 157 150 4 138 140 5 175 165       6 166 160

Suppose that the proportion of investors who are risk-averse (that is, try to avoid risk in their investment decisions) is though to be at least 0.7. A financial advisor believes that the proportion is actually less than 0.7. A survey of 36 investors found that 24 of them were risk-averse. Formulate a one-sample hypothesis test for a proportion to test this belief. Determine the null hypothesis, H,, and the alternative hypothesis, H,. Ho H,: (Type integers or decimals. Do not round.)

12. Determine whether or not the given data sets are correlated at 0.01 level of confidence: x   0    2    3    5    6    6y 5.8 5.7 5.2 2.8 1.9 2.2Use the formal hypothesis test method.  please show how to solve it. no excel please

Suppose that the proportion of investors who are risk-averse (that is, try to avoid risk in their investment decisions) is though to be at least 0.6. A financial advisor believes that the proportion is actually less than 0.6. A survey of 32 investors found that 20 of them were risk-averse. Formulate a one-sample hypothesis test for a proportion to test this belief. Determine the null hypothesis, H,, and the alternative hypothesis, H,. Ho H,: (Type integers or decimals. Do not round.) Compute the test statistic. (Round to two decimal places as needed.) Find the p-value for the test. (Round to three decimal places as needed.) State the conclusion at the 0.05 level of significance. The p-value is the chosen value of a, so V the null hypothesis. There is evidence to conclude that the proportion of investors who are risk-averse is not at least 0.6.

6.  A researcher takes a sample of people, and asks them how they would vote for president. When she creates her confidence interval, she has a standard error of .082. If she wanted to get a smaller standard error, what could she do? Group of answer choices Ask a different research question. Take a smaller sample. Take a larger sample. None of the above would create a smaller standard error.

Near the time of an election, a cable news service performs an opinion poll of 1,000 probable voters. It shows that the Republican contender has an advantage of 54% to 48%. a. Develop a 95% confidence interval for the proportion favoring the Republican candidate. b. Estimate the probability that the Democratic candidate is actually leading. c. Repeat the above analysis based on a sample of 2,000 probable voters.

Suppose that the proportion of investors who are risk-averse (that is, try to avoid risk in their investment decisions) is though to be at least 0.6. A financial advisor believes that the proportion is actually less than 0.6. A survey of 30 investors found that 18 of them were risk-averse. Formulate a one-sample hypothesis test for a proportion to test this belief. ..... Determine the null hypothesis, H,, and the alternative hypothesis, H,. 2 0.6 < 0.6 Ho: I H,: I (Type integers or decimals. Do not round.) Compute the test statistic. (Round to two decimal places as needed.)

Suppose that the proportion of investors who are risk-averse (that is, try to avoid risk in their investment decisions) is though to be at least 0.7. A financial advisor believes that the proportion is actually less than 0.7. A survey of 35 investors found that 23 of them were risk-averse. Formulate a one-sample hypothesis test for a proportion to test this belief. Determine the null hypothesis, H,, and the alternative hypothesis, H,. Ho H,: (Type integers or decimals. Do not round.) Compute the test statistic. (Round to two decimal places as needed.) Find the p-value for the test. (Round to three decimal places as needed.) State the conclusion at the 0.05 level of significance. The p-value is V the chosen value of a, so the null hypothesis. There is evidence to conclude that the proportion of investors who are risk-averse is not at least 0.7.

1. If the chance for a student passing a class is 50%, then the chance for a student not passing the class can be greater than 50%? true or false 2. 1.30% is not a true probability? true or false 3. Power is 1 minus the probability of making a type I error? true or false 4. Using the same sample data, the margin of error for an 80% confidence interval is bigger than the margin of error for a 90% confidence interval? true or false