Continued from first question.. Identifying the parameter and set up the null and alternative hypotheses: Identifying the parameter, null hypothesis, and alternative hypothesis. d. A drug company says their brand of over the counter pain medicine contains on average 1.25 grams of acetaminophen in each tablet. A consumer wants to findevidence against the drug company's claim. e. Social scientists suspects the median age of women at the birth of the first child in more than 25 years f. A consumer advocacy group wants to prove there is no difference between regular unleaded and premium unleaded average gas mileage.

The national average SAT score is roughly 1500. We would like to see if the high school seniors who apply to Duke have higher than average SAT scores. We randomly sample 100 applicants' files and record their SAT scores. Which of the following is the correct set of hypotheses for this research question? Hint: think about how many samples we have data from. OHO: H= 1500; HA: µ = 1500 Ho: H Duke National; HA: H Duke National Ho: x= 1500; HA: x > 1500 OHO: H = 1500; HA: > 1500 O Ho: P = 1500; HA: P > 1500

Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of adults who use the internet is greater than 0.27. Which of the following is a type I error? O A. Reject the claim that the proportion of adults who use the internet is 0.27 when the proportion is actually 0.27. O B. Fail to reject the claim that the proportion of adults who use the internet is 0.27 when the proportion is actually different from 0.27. O C. Reject the claim that the proportion of adults who use the internet is 0.27 when the proportion is actually different from 0.27. O D. Fail to reject the claim that the proportion of adults who use the internet is 0.27 when the proportion is actually 0.27. Which of the following is a type II error? O A. Fail to reject the claim that the proportion of adults who use the internet is 0.27 when the proportion is actually 0.27. O B. Reject the claim that the proportion of adults who use the internet is 0.27 when the proportion is…

Which of the following statements is true regarding the influence of a small alpha level in the context of hypothesis testing?     a. A small alpha level reduces the likelihood of a Type I error.   b. A small alpha level reduces the effect size.   c. A small alpha level increases statistical power.   d. A small alpha level increases the likelihood of detecting statistical significance.

Looking at youth depression scores from a general sample of random children in the US, we want to determine if our sample is significantly different than the national average of scores of children with depression in the US. The national average of scores on a measure of depression is 5 points. We have no reason to assume it will be higher or lower than the US national average. The sample:  11 9 12 3 3 4 13 1. What is the null and alternative hypotheses? Do not specify any directionality. 2. What did you discover (using 95% Cl)? Provide an interpretation.

econometrics

A) What is the alternative hypothesis? a. The population mean is equal to 7.2 points. b. The population mean is greater than 7.2 points. c. The population mean is smaller than 7.2 points. B) What Z-score(s) corresponds to the alpha level? In other words, at what point(s) would we reject the null hypothesis? C) What is the test statistic?

You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. H0: ?1 − ?2 ≤ 0 Ha: ?1 − ?2 > 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 40 n2 = 50 x1 = 25.1 x2 = 22.8 ?1 = 5.9 ?2 = 6 (a) What is the value of the test statistic? (Round your answer to two decimal places.)   (b) What is the p-value? (Round your answer to four decimal places.)   (c) With ? = 0.05, what is your hypothesis testing conclusion? Reject H0. There is sufficient evidence to conclude that ?1 − ?2 > 0. Do not Reject H0. There is sufficient evidence to conclude that ?1 − ?2 > 0.      Do not reject H0. There is insufficient evidence to conclude that ?1 − ?2 > 0. Reject H0. There is insufficient evidence to conclude that ?1 − ?2 > 0.     I need help with parts A and B