Question 3 A medical treatment is claimed to increase the likelihood of a baby boy. In a clinical trial, results could be analyzed with a formal hypothesis test with the alternative hypothesis of p> 0.5, which corresponds to the claim that the treatment increases the likelihood of having a girl, so that the proportion of girls is greater than 0.5. If you have an interest in establishing the success of the treatment, which of the following P-values would you prefer: 0.999, 0.5, 0.95, 0.05, 0.01, 0.001? Comment on your selection.
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- The Youth Risk Behavior Survey (a study of public high school students) showed that 45 of 675 girls and 103 of 621 boys had been in a physical fight on school property one or more times during the past 12 months Using 5% significance, perform an appropriate test of hypothesis that the proportion of girlsinvolved in a physical fight on school property is less than the proportion of boys involved in a physical fight on school property.Step 1: H0: ________________ Ha: ____________________ Significance level α =0.05Step 2: Check necessary data conditions and compute an appropriate test statistic:Step 3: Compute corresponding p-valueA researcher claims that exactly 40% of all adults in the U.S. use their cell phone for most of their online browsing. You believe that the true proportion is different. To test this, you take a simple random sample of 200 adults in the U.S and find that 39% of them use their phone for most of their online browsing. Test at 5% significance. Round to the fourth as needed How many successes were there? Ho: Select an answer HA: Select an answer Test Statistic: Select an answer Select an answer ✓ P-value: Did something significant happen? [Select an answer Select the Decision Rule: Select an answer There [Select an answer enough evidence to conclude Select an answer Build a 95% confidence interval and decide if you can conclude the same. Use your calculator to do this and round to the fourth decimal place. Can we conclude the same as our Hypothesis Test? ? ✓ because the true proportion of U.S. adults that use their cell phones for most of their online browsing Select an answerYou are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.67. Your sample data produce the test statistic z=3.203. Find the p-value accurate to 4 decimal places. You are conducting a study to see if the probability of catching the flu this year is significantly different from 0.33. Your sample data produce the test statistic z=1.84 Find the p-value accurate to 4 decimal places.
- You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 50% at a level of significance of a = 0.10. According to your sample, 49 out of 92 potential voters prefer the Democratic candidate.Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 204 women, r1 = 70 responded yes. Another random sample of n2 = 178 men showed that r2 = 48 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: p1 = p2; H1: p1 > p2H0: p1 = p2; H1: p1 < p2 H0: p1 = p2; H1: p1 ≠ p2H0: p1 < p2; H1: p1 = p2 (b) What sampling distribution will you use? What assumptions are you making? The standard normal. We assume the population distributions are approximately normal.The Student's t. The number of trials is sufficiently large. The standard normal. The number of trials is sufficiently large.The Student's t. We assume the population distributions are approximately normal. What is the value of the sample…In a 2005 study 2205 adolescents aged 12 - 19 years old were give a treadmill test to check their cardiovascular health. 750 of the subjects were determined to have poor cardiovascular fitness. The researchers want to claim that more than 30% of adolescents have poor cardiovascular health (with a 5% level of significance). The research hypothesis is Ha:p>0.30. Find the test statistic, p-value, and state your conclusion.
- The old variety of a plant has 70% pink flowers. A new variety is developed. In a random sample of 93 plants from the new variety, 59 had pink flowers. Test the claim that the percent of plants with pink flowers for the new variety is different than 70%. Use a 0.10 level of significance. Question 6 options: DO NOT Reject H0 Using a 0.10 level of significance there is not evidence to say the proportion of pink flowers is different than 0.70 Reject H0 Using a 0.10 level of significance there is evidence to say the proportion of pink flowers is not different than 0.70Management of a theater in a large city wants to know whether its popularity increased after it ran a popular musical. According to a previous study, 25% of city residents said they had been to the theater in the past year. A more recent study, conducted after the musical had run for a year, found that 156 of 536 residents sampled said they had been to the theater in the past year. Is there evidence at the ? = 0.05 level that the number of residents who have been to the theater has increased in the last year?“Children whose parents smoke in their presence are more likely to develop asthma than children whose parents do not smoke in their presence.” How many tails should be used when looking up the t test statistic for this study? Question 6 options: one tail two tails Either one tail or two tails - it doesn't matter there is not enough information to tell.
- You are testing the difference between high school freshmen and seniors on SAT performance. The null hypothesis is that the population mean SAT score of the seniors is equal to the population mean SAT score of the freshmen. You randomly sample 20 students in each grade and have them take the SAT. You find that the sample mean of the seniors is significantly higher than the sample mean of the freshmen. Which alternative hypothesis is accepted? The population mean SAT score of the seniors is less than the population mean SAT score of the freshmen. The population mean SAT score of the seniors is greater than the population mean SAT score of the freshmen. You cannot be sure which alternative hypothesis to accept. You just know that the null hypothesis was rejectedThe wrong alternative. One of your friends is testing the effect of drinking coffee on the duration of cold symptoms. The common cold lasts, on average, 6 days. Your friend starts with no expectations as to whether drinking coffee will have any effect on cold duration. After seeing the results of the experiment, in which the average cold duration was less than 6 days, your friend tests a one-sided alternative about the population mean cold duration when drinking coffee, H0: lcoffee = 6 На: Which gives a one-sided P value P = 0.0465. Explain why your friend should have used a two-sided hypothesis. Hcoffee < 6In a fishing lodge brochure, the lodge advertises that 75% of its guests catch northern pike over 20 pounds. Suppose that last summer 59 out of a random sample of 85 guests did, in fact, catch northern pike weighing over 20 pounds. Does this indicate that the population proportion of guests who catch pike over 20 pounds is different from 75% (either higher or lower)? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p = 0.75; H1: p 0.75 (b) What sampling distribution will you use? O The Student's t, since np 5 and ng > 5. O The standard normal, since np 5 and nq > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.)