A random sample of 100 students at a high school was asked whether they would ask their father or mother for help with a financial problem. A second sample of 100 different students was asked the same question regarding a dating problem. If 43 students in the first sample and 47 students in the second sample replied that they turned to their mother rather than their father for help, test the hypothesis of no difference in the proportions. Use α = 0.02. Identify the critical value(s). 2.33 ±2.33±2.33 ±2.05±2.05 2.05

According to the U.S. Census Bureau, 69% of children under the age of 18 years in the United States lived with two parents in 2009. Suppose that in a recent sample of 2000 children, 1249 were living with two parents. a. Using the critical value approach and a = 0.05, test whether the current percentage of all children under the age of 18 years in the United States who live with two parents is different from 69%. Round your answer for z to two decimal places. Zobserved = i Zcritical left = i Zcritical right i We the null hypothesis. We conclude that the current percentage of all children under the age of 18 years in the United States who live with two parents is 69%. b. How do you explain the TypeI error in part a? What is the probability of making this error in part a? The Type I error occurs when we conclude that the current percentage of all children under the age of 18 years in the United States who live with two parents is 69%, when it is 69%. P(Type I error) = c. Calculate the…

16% of all Americans suffer from sleep apnea. A researcher suspects that a different percentage of those who live in the inner city have sleep apnea. Of the 337 people from the inner city surveyed, 47 of them suffered from sleep apnea. What can be concluded at the level of significance of α= 0.05? a. The test statistic= (please show your answer to 3 decimal places.) b. The p-value = (Please show your answer to 4 decimal places.)

Biologists in Minnesota are interested in determining if there is a difference in the invasion rate of Asian Carp (which can be detrimental to the environment) between the Mississippi River and Lake Mille Lacs. In the Mississippi River, it was found that 206 of 579 fish caught were Asian Carp. In Lake Mille Lacs, 28 of 132 fish caught were Asian Carp. Let p, = the true proportion of Asian Carp in the Mississippi River and let p2 = the true proportion of Asian Carp in Lake Mille Lacs. A test of Ho: P₁ = P2 vs. Ha: P₁ P₂ resulted in a p-value of 0.0015. Which of the following is a correct conclusion? (A) The test is not appropriate, since the researchers should have conducted a one-sided test. (B) The test is not appropriate, since the sample size is too small to conduct an inference test for proportions. (C) The test is not appropriate, since the two sample sizes are very different. (D) The p-value of this test is large, indicating we have sufficient evidence to conclude that a…

with my answer in screenshot 1 will you help me with the ones in screenshot 2 please

A pharmaceutical company has developed a drug that is expected to reduce hunger.  To test the drug, three samples of rats are selected with n=9 in each sample.The first sample receives the drug every day.  The second sample is given the drug once a week, and the third sample receives no drug at all (the control group).  These assignments of drugs are called treatments.The (dependent) variable being compared is the amount of food eaten by each rat over a 1-month period.  These data are analyzed by an ANOVA, and the results are reported in the following summary table.  How many groups (or population means or treatments) are being compared in this problem? _________ (Enter a whole number) What is the total number of data used in this problem?  _________(Enter a whole number) Fill in all missing values in the table.  (Hint:  Start with the df column and your above answers.)If there are decimal places in your answer, provide 2 or more decimal places. Source of Variation SS df MS F…

A researcher developing scanners to search for hidden weapons at airports has concluded that a new scanner is significantly better than the current scanner. He made his decision based on a test using a = 0.05. Would he have made the same decision at a = 0.20? How about α = 0.01? Explain. Select the statement relating decision making to values of a. O A. His decision would have been the same for a = 0.01 but may have been different for a = 0.20. O B. His decision would have been the same for α = 0.20 but may have been different for α = 0.01. O C. His decision may have been different for both α = 0.01 and α = 0.20. O D. His decision would have been the same for both α = 0.01 and α=0.20.