If you use a 0.10 level of significance in a two-tail hypothesis test, what is your decision rule, if you use the Z test?
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If you use a 0.10 level of significance in a two-tail hypothesis test, what is your decision rule, if you use the Z test?
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- The school newspaper claims that 45% of SMC students have iPhones. You think it's more. You simple random sample "G" students and "L" say that they have iPhones. Is there sufficient evidence at the 5% significance level (a = .05) to indicate that the percent of students with iPhones is more than 45% Show ALL work (or tell me what you plug into your calculator). Use specific wording like we do in class. G = 120 L =_6O Ho: Ha: Test statistic: p-val: Statistical conclusion: Conclusion in plain English:If a researcher failed to use a random sample, how would this affect the research conclusion? If a researcher failed to use random assignment, how would this affect the research results?A market research team thinks that their new ad campaign is better than their old one. They used to be able to sell to 50% of those who saw their ads. To test their thought, they will run a hypothesis test. They take a random sample of 100 potential buyers and find that they convinced 60 of these people to buy their product. The test will be run at a 1% significance level. O a. The test statistic is 2 and we conclude that the new ad campaign is not signficantly better. O b. The test statistic is 2 and we conclude that the new ad campaign is signficantly better. O. The test stat is 2.236 and we conclude that the new ad campaign is not significantly better. O d. The test stat is 2.236 and we conclude that the new ad campaign is significantly better. O e. The test stat is 2.5 and we are left with a test that is inconclusive.
- In conducting a significance test, is it easier or harder to reject the null hypothesis when it's a two-tailed test instead of a one-tailed test? A: easier B: harderClassify the hypothesis test as two-tailed, left-tailed, or right-tailed. At one school, the average amount of time that tenth-graders spend watching television each week is 20.1 hours. The principal introduces a campaign to encourage the students to watch less television. One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased from the previous mean of 20.1 hours.For a statistics class project, a college student randomly samples 75 men who exercise at a gym regularly and 68 women who exercise at a gym regularly. The college student records the number of minutes each person exercises in a given week. The college student believes that the mean number of minutes per week is lower for men than for women. The college student conducts a hypothesis test at the 5% significance level. What conclusion can you draw from the output? The data provide sufficient evidence to reject the null hypothesis and to conclude that the mean number of minutes exercised per week is lower for men than for women. The data provide sufficient evidence to conclude that there is no difference in the mean number of minutes exercised per week for men and women. The data do not provide sufficient evidence to conclude that the mean number of minutes exercised per week is lower for men than for women. We accept the null hypothesis, and conclude that there is a difference in…
- A researcher wants to know if there is a statistically significant difference between Liberal Arts majors and other students on average number of books (other than those required by course work) read per year. To test this research question, sample students attending a large university have been randomly selected. Using the sample information suggested below, conduct a hypothesis test at 0.05 significance level. Sample 1 (Liberal Arts majors) Sample 2 (Other majors) = 16.2 = 13.7 s1 = 2.3 s2 = 9.0 N1 = 236 N2 = 321 - What is the critical Z-score? - Compute the test statistic value (i.e., calculated or obtained Z-score). -Determine if the null hypothesis is rejected AND state what it means.There is some research to indicate that different dog breeds differ in emotionality. To consider these differences, a researcher administers a standard test of emotionality to 3 breeds of dogs (German Shepherd, Cocker Spaniel, and Chihuahua), with 4 dogs from each breed being tested. Higher scores mean higher emotionality. The results for the emotionality test scores appear below. Using the 7 steps of hypothesis testing, test the idea that there are differences in emotionality based on dog breed using α = .05 Emotionality Scores for Dogs German Shepherd Cocker Spaniel Chihuahua 6 0 10 1 4 12 7 0 9 2 0 8 T = 16 T = 4 T = 39 Gt = 59 N = 12 ∑x2 = 495 4. Decision Rule (Be sure to include your critical value) 5. Do your calculations 6. Make your decision 7. State your results in a sentence. Report your results in APA style including a measure of effect size. Be sure to include descriptive statistics (M). 8. Given your decision in #7, would…A hypothesis test is conducted to determine whether the percentage of US adults that think marijuana should be illegal is less than 40%. A random sample of 400 US adults includes 144 that think marijuana should be illegal. The value of the test statistic is -1.63 Find the P-value of the hypothesis test
- A graduate student believes that people consider faces with more contrast between lip color and skin tone as more feminine. She identifies the null hypothesis as: Ho: The level of contrast between lip color and skin tone does not affect how feminine a face is considered. She chooses a significance level of 0.05. After she collects the data and computes the sample statistics, it is time for her to make a decision about the null hypothesis. What are the two possible decisions that the graduate student can make? Check all that apply. There is not enough evidence to reject the hypothesis that the contrast between lip color and skin tone affects how feminine a face is considered. There is enough evidence to reject the hypothesis that the contrast between lip color and skin tone does not affect how feminine a face is considered. There is enough evidence to reject the hypothesis that the contrast between lip color and skin tone affects how feminine a face is considered. ☐ There is not enough…According to the most recent General Social Survey, 70% of adults watch TV nightly. A researcher believes that the proportion of college students who watch TV nightly is less than this. To test this claim the research samples 400 college students and finds that 276 watch TV nightly. At the 0.05 level of significance does this data provide evidence to suggest that the proportion of college students who watch TV nightly is less than 70%? What is the p-value for this hypothesis test? Round to three decimal places.Suppose we want to test whether or not three means are equal. We want to perform this test with a 8% significance level. If we perform an ANOVA test, what is the probability of the test producing accurate results (avoiding a Type I error)? Suppose we, instead, run three separate hypothesis tests (t-tests), each with 8% significance level. Mean 1 = Mean 2 Mean 1 = Mean 3 Mean 2 = Mean 3 What is the probability that all three tests would be accurate? Hint: use principles of probability to help your calculations: P(accurate AND accurate AND accurate) (Write your answer accurate without rounding.) Why would we use ANOVA instead of three separate tests? Why would we want to use three separate tests instead of ANOVA?
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