The survey done by Pulse Asia (February 22-March 3, 2021) revealed that 52% of Filipinos prefer Pfizer COVID-19 vaccine. A team made a survey on which brand of COVID-19 vaccine the residents of Barangay Smit prefer. The team found out that of the 878 respondents, 434 prefer the Pfizer vaccine. Test at a=5% if this is similar to the result of the given Pulse Asia survey. Null Hypothesis: Alternative Hypothesis: Level of significance: Test statistic: Computation: Critical Value(s): Conclusion:
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- A researcher took a random sample of 200 new mothers in the United States (Group 1) and found that 16% of them experienced some form of postpartum depression. Another random sample of 200 new mothers in France (Group 2), where mothers receive 16 weeks of paid maternity leave, found that 11% experienced some form of postpartum depression. Can it be concluded that the percent of women in the United States experience more postpartum depression than the percent of women in France? Use α=0.05. Select the correct alternative hypothesis and decisionHistorically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous six months, in a sample of 115 new car buyers, 46 have traded in their old car. To determine whether the proportion of new car buyers that trade in their old car has this is sickly significantly decreased, what is the null and alternative hypothesis?Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous six months, in a sample of 115 new car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new car buyers that trade in their old car has this is  statistically significantly decreased, what can you conclude concerning the null hypothesis? A) reject the null hypothesis Or B) fail to reject the null hypothesis
- It was reported that some sixty-seven percent of Covid 19 infection, over one summer month in a European country, were people who were fully vaccinated. Does this mean that Covid 19 vaccine is ineffective?An organization published an article stating that in any one-year period, approximately 7.5 percent of adults in a country suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, six of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult population in the country.In a National Institute on Alcohol Abuse and Alcoholism survey, 33% of American adults said that they had never consumed alcohol. Suppose that this result is true for the 2019 population of American adults. In a recent random sample of 2300 adult Americans, 35% said that they had never consumed alcohol. Test the hypothesis that the current percentage of American adults who have never consumed alcohol is different from 33%. What is the test statistic? In a National Institute on Alcohol Abuse and Alcoholism survey, 33% of American adults said that they had never consumed alcohol. Suppose that this result is true for the 2019 population of American adults. In a recent random sample of 2300 adult Americans, 35% said that they had never consumed alcohol. Test the hypothesis that the current percentage of American adults who have never consumed alcohol is different from 33%. What is the test statistic? 0.9793 0.35 2.04 0.0414 0.0207
- In a recent study of a random sample of 113 people, 92 reported dreaming in color. In the 1940’s, the proportion of people who reported dreaming in color was 29%. Is there evidence to show that the proportion of people who dream in color is different than the proportion in the 1940’s? What is the critical value for this hypothesis test? In a recent study of a random sample of 113 people, 92 reported dreaming in color. In the 1940’s, the proportion of people who reported dreaming in color was 29%. Is there evidence to show that the proportion of people who dream in color is different than the proportion in the 1940’s? What is the critical value for this hypothesis test? \pm1.96±1.96 \pm1.645±1.645 \pm2.575±2.575 \pm2.05±2.05 \pm2.33±2.33In a random sample of 1066 U.S. adults, 580 think that the U.S. government is doing too little to protect the environment. In another random sample of 1038 U.S. adults taken 10 years ago, 514 think that the U.S. government is doing too little to protect the environment. At α = 0.10, can you reject the claim that the proportion of U.S. adults who think that the U.S. government is doing too little to protect the environment has not changed? Identify the null hypothesis, Ho, and the alternative hypothesis, Ha. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Find the critical value(s) and identify the rejection region(s). Find the appropriate standardized test statistic. If convenient, use technology. Decide whether to reject or fail to reject the null hypothesis. Interpret the decision in the context of the original claim.A 2012 survey of 443 American adults indicates that 16% of cell phone owners do their browsing on their phone rather than a computer or other device. According to an online article, a report from a mobile research company indicates that 38% of Chinese mobile web users only access the internet through their cell phones. We wish to conduct a hypothesis test to determine if these data provide strong evidence that the proportion of Americans who only use their cell phones to access the internet is less than the Chinese proportion of 38%. (a) The standard error based on the null hypothesis is:_______ (b) Our data indicates a proportion of Americans who use their phones to browse is p-hat=0.16 . We need to use this to find a test statistic (in this case called a z-score). Recall that a test statistic is a measure for how many standard errors our data point is away from our assumed mean.test statistic = _________
- The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. Conduct a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population. find the p valueThe manufacturer of a spot remover claims that hisproduct removes 90 percent of all spots. If, in a random sample, only 174 of 200 spots were removed with the man-ufacturer’s product, test the null hypothesis θ = 0.90 against the alternative hypothesis θ < 0.90 at the 0.05level of significance.. The National Institute of Mental Health published an article stating that in any one-year period, approximately 9.5 percent of American adults suffer from depression or a depressive illness. Suppose that in a survey of 100 people in a certain town, seven of them suffered from depression or a depressive illness. If you were conducting a hypothesis test to determine if the true proportion of people in that town suffering from depression or a depressive illness is lower than the percent in the general adult American population, what would the null and alternative hypotheses be?