Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 54% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 15 students enrolled, 12 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the a = 0.01 level of significance? Complete parts (a) through (g). (a) State the appropriate null and alternative hypotheses. Ho: versus H,: (Type integers or decimals. Do not round.)
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- What is meant by the sample space of an experiment?In a controlled laboratory experiment, scientists at the University of Minnesota discovered that 25% of a certain strain of rats subjected to a 20% coffee bean diet and then force-fed a powerful cancer-causing chemical later developed cancerous tumors. Would we have reason to believe that the proportion of rats developing tumors when subjected to this diet has increased if the experiment were repeated and 16 of 48 rats developed tumors? Use a 0.05 level of significance.An online clothing retailer is testing a new e-mail campaign by sending one version of the e-mail with the word “free” in the subject line (version A) to a group of 1,500 customers and another version of the e-mail with word “discount” in the subject line (version B) to a different group of 1500 customers. After tracking the responses to the two versions of the e-mail advertising, the retailer finds that 75 responded to version A and 105 responded to version B. At 0.05 significance level, can it be concluded that the response rate for version B is higher than the response rate to version A What is your decision? Enter “R” if your decision is to reject the null hypotheses. Enter “F” if the decision is fail to/do not reject the null hypotheses. Your answer (R/F) is: Which of the followings is the most appropriate conclusion for the hypotheses test? Enter the number corresponding to the most appropriate conclusion in the answer box. For example, if statement number 2 is the most…
- An online clothing retailer is testing a new e-mail campaign by sending one version of the e-mail with the word “free” in the subject line (version A) to a group of 1,500 customers and another version of the e-mail with word “discount” in the subject line (version B) to a different group of 1500 customers. After tracking the responses to the two versions of the e-mail advertising, the retailer finds that 75 responded to version A and 105 responded to version B. At 0.05 significance level, can it be concluded that the response rate for version B is higher than the response rate to version A Determine which of the following formulations of the hypotheses is appropriate and enter the corresponding number in the answer text box. Index “a” refers to the population of the customers who respond to version A and index “b” refers to the population of customers who are responsive to version B. Identify and enter the number corresponding to the most appropriate formulation for the…In a study of cell phone use and brain hemispheric dominance, an internet survey was e-mailed to 5000 subjects randomly selected from an online group involved with ears. 717 surveys were returned. Use a 0.01 significance level to test the claim that the return rate is less than 15%.o combat antibiotic resistance, the Quality Improvement Consortium recommends a throat swab to confirm strep throat before a physician prescribes antibiotics to children under age 5. Nationally, 40 percent of children under 5 who received antibiotics did not have a throat swab. The Colorado Department of Health took a random sample of 79 children under the age of 5 who received antibiotics for throat infections and found that 24 did not have a throat swab. At α = .05, is this a statistically significant reduction over last year’s national rate of 40 percent? (a-1) Choose the correct null and alternative hypotheses. H0: π ≥ .40 vs. H1: π < .40 H0: π ≤ .40 vs. H1: π > .40 H0: π = .40 vs. H1: π ≠ .40 (a-2) Calculate the critical value. (A negative value should be indicated by a minus sign. Round your answer to 3 decimal places.) Critical value (a-3) Calculate the test statistic. (A negative value should be indicated by a minus sign. Round your…
- Since an instant replay system for tennis was introduced at a major tournament, men challenged 1386 referee calls, with the result that 421 of the calls were overturned. Women challenged 745 referee calls, and 222 of the calls were overturned Use a 0.05 significance level to test the claim that men and women have equal success in challenging calls, Complete parts (a) through (e) below.A researcher was interested in the relationship between a swimmer’s hand length and corresponding time to complete the 100-meter freestyle. The researcher selected a random sample of twenty swimmers from all participants in a swim competition. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence, at a 5 percent level of significance, that a longer hand length is associated with a decrease in the time to complete the 100-meter freestyle?A market research study hopes to determine if the average sales of house entertainment units will increase in a test market with the introduction of a new package. Sales recorded in a 32-day period for the old package and a 30-day period for the new package were as follows: What can be concluded at 2.5% significance level? Use the Ten Step Process. Level of Significance:___________________________________________________ Test Statistic:_________________________________________________________ Formula:_____________________________________________________________
- In a simple random sample of 78 NCAA Division III Football games, the team that scored first won the game 52 times. Use a significance level of 0.05 to test the claim that the team that scores first wins the game three quarters of the time, in Division III NCAA football.A scientist selected a random sample of seven varieties of peach ice cream to investigate the relationship between the density, in pounds per cubic inch, of the varieties of ice cream and the percent concentration of peaches in the ice cream. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence at the 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream? A. A two-sample t-test for a difference between means B. A chi-square test of independence C. A linear regression t-test for slope D. A two-sample z-test for a difference between proportions E. A matched pairs t-test for a mean differenceTo test the fairness of law enforcement in its area, a local citizens group wanted to know whether women and men are unequally likely to get speeding tickets. 400 randomly selected adults were phoned and asked whether or not they had been cited for speeding in the last year. using the results in the following table and a 0.10 level of significance Men ticket =35, Men not ticketed= 144 women ticketed= 22, women not ticketed = 199 Compute the test statistic