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- Suppose an experiment finds that people taking a new herbal remedy get fewer colds than people taking a placebo. The results are statistically significant at the 0.01 level. Has the experiment proven that the herbal remedy works?If I have a sample of 25 people what is my T-threshold for a two-tail test and an alpha of 0.05 percent?A risky eye surgery for patients in danger of permanent blindness is known to historically cure the condition in 35% of all cases of performing the surgical procedure. A new procedure is proposed for which the researchers claim that they will improve that rate of cure. -The researchers test their claim by performing the new procedure on 100 patients. Some improve and some do not. After performing the appropriate statistical calculations, they find a p-value of 0.02. If they are testing at an alpha level of 0.05, what should they conclude? Be sure the write your answer in the context of the problem.
- A Researcher Studying The Relationship Between Maternal Age And Length Of Breastfeeding In A Sample Of 75 Primiparas Found A Correlation Of .19, Which Was Not Statistically Significant At The .05 Level. What Was The Estimated Power Of The Statistical Test? Conversely, What Was The Risk That A Type II Error Was Committed? If .19 Is A Good Estimation Of The Population Correlation, What Sample Size Would Be Needed In A Replication Study To Achieve Power = .80 At Α= .05?At age 9 the average weight for both boys and girls are exactly the same. A random sample of 9 year olds gave the following results.... Boys: Girls:Sample Size: 65 50Mean weight (lbs): 130 125Pop. Variance: 120 130 At alpha 0.05, do the data support the claim that there is a difference in heights?A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. Can we conclude that the population proportion with a history of intrapartum or postpartum infection is significantly less than or equal to 0.25? Let alpha = 0.05.
- A survey in 2019 asked a random sample of U.S. adults if they believed the government was tracking all or most of their activities online or on their cell phones. Of the 671 adults aged 18–29, 396 said “yes.” Of the 977 adults aged 65 or older, 293 said “yes.” Do we have evidence to claim that the proportion is higher among the young adults as compared to the older adults? (test hypothesis at level alpha =0.05).The appearance of leaf pigment glands in the seedling stage of cotton plants is genetically controlled. According to one theory of the control mechanism, the population ratio of glandular to glandless plants resulting from a certain cross should be 11.5, according to another it should be 13:3. In one experiment, the cross produced 89 glandular and 36 glandless plants. Use goodness-of-fit tests (at alpha= 0.10) to determine whether the data is consistent with a) the 11:5 theory, ar b) the 13:3 theory.We tested to see if people who consumed caffeine had a lower average reaction time than those who didn’t consume caffeine at the alpha = 0.08 level. Assume we found a p-value of 0.5437. Which below would be an appropriate conclusion and interpretation? With an alpha of 0.08, and a p-value of 0.5437, we fail to reject the null and state we have insufficient evidence to support that the true average reaction time of caffeine consumers was less than that of non-caffeine consumers. With an alpha of 0.08, and a p-value of 0.5437, we reject the null and state we have sufficient evidence to support that the true average reaction time of caffeine consumers was less than that of non-caffeine consumers. With an alpha of 0.08, and a p-value of 0.5437, we fail to reject the null and state we have sufficient evidence to support that the true average reaction time of caffeine consumers was less than that of non-caffeine consumers. With an alpha of 0.08, and a p-value of 0.5437, we…
- It is believed that a sweetener called xylitol helps prevent ear infections. In a randomized experiment, 165 children took a placebo and 68 of them got ear infections. Another sample of 159 children took xylitol and 46 of them got ear infections. The scientists believe that the proportion of ear infections in the placebo group will be greater than the xylitol group. Test this hypothesis at α = 0.025.Dr. Ingrid is conducting an experiment to see whether time spent reading is related to poor vision. To do so, she creates three groups and randomly assigns 17 participants to each: the first group reads for 30 min a day, the second group reads for 1hr a day, and the third group reads for 1.5 hrs a day. Dr. Ingrid plans on using a one-way ANOVA to analyze the results of her experiment. If Dr. Ingrid has set alpha to .01, what will be her critical value of F?In one of the hypothesis study, Robin considers to increase the alpha level. Briefly explain the effect on the Type I and Type II errors together with the probability weather he should reject the null hypothesis.