What is the observed test statistic for this test?
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Suppose we want to test the null hypothesis H0 : p = 0.60 against the alternative hypothesis Ha : p < 0. Suppose also that we observed 12 successes in a random sample of 20 subjects and the level of significance is 0.01. What is the observed test statistic for this test?
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- A two-tailed test is performed at 95% confidence. The p-value is determined to be 0.0478. The null hypothesis must be rejected should not be rejected could be rejected, depending on the sample size has been designed incorrectlyPedro was working on a report on Swiss and Austrian psychiatrists. He decided to find a 90 percent confidence interval for the difference in mean age at the time of significant psychiatric discoveries for Swiss versus Austrian psychiatrists. He found the ages at the time of psychological discovery of all the members of both groups and found the 90 percent confidence interval based on a t-distribution using a calculator. The procedure he used is not appropriate in this context because O The sample sizes for the two groups are not equal. O The entire population is measured in both cases, so the actual difference in means can be computed and a confidence interval should not be used. O Age at the time of psychological discovery occurs at different intervals in the two countries, so the distribution of ages cannot be the same. O Age at the time of psychological discovery is likely to be skewed rather than bell shaped, so the assumptions for using this confidence interval formula are not…ALL ABOUT STATS
- A random sample of n1 = 299 voters registered in the state of California showed that 140 voted in the last general election. A random sample of n2 = 220registered voters in the state of Colorado showed that 130 voted in the most recent general election. Do these data indicate that the population proportion of voter turnout in Colorado is higher than that in California? Use a 10% level of significance. What is the level of significance? What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) Find (or estimate) the P-value. (Round your answer to four decimal places.)Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 22 having a common attribute. The second sample consists of 1900 people with 1375 of them having the same common attribute.compare results from a hypothesis test of p1-=p2 with a 0.05 significance level and a 95% confidence interval estimate of p1-p2 .In a survey, 43% of the respondents stated that they talk to their pets on the telephone. A veterinarian believed this result to be too high, so he randomly selected 210 pet owners and discovered that 84 of them spoke to their pet on the telephone. Does the veterinarian have a right to be skeptical? Use the α = 0.05 level of significance. Because npo (1-Po) = 10, the sample size is (Round to one decimal place as needed.) 5% of the population size, and the sample satisfied. the requirements for testing the hypothesis
- A published report claims that 35% of college students have used an online dating site or app. Believing this claimed value is too low, a researcher surveys a random sample of n = 420 college students about their experiences with online dating sites and apps. A total of 166 of the surveyed students indicate that they have used online dating sites or apps. Use this information to conduct a hypothesis test at a significance (or alpha) level of 0.05. 1.Based on the test statistic you computed to answer Question 11, along with what you see in Table B, what should the P-value be? 2. Based on the P-value you obtained and how it compares to the significance level of 0.05, what is your conclusion? 3. Look again at your answer to Question 13. If a smaller significance level had been chosen—like 0.01—would you have reached a different conclusion? Please explain. 4. Again, look back at how you answered Question 13. If a larger significance level had been chosen—like 0.10—would you have…You are conducting a study to see if the accuracy rate for fingerprint identification is significantly different from 0.23. You use a significance level of α=0.01 H0:p=0.23 H1:p≠0.23You obtain a sample of size n=228n=228 in which there are 70 successes.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... The sample data support the claim that the accuracy rate for fingerprint identification is different from 0.23. There is not sufficient sample evidence to support the claim that the accuracy rate for fingerprint identification is different from 0.23.In a study of red/green color blindness, 800 men and 2050 women are randomly selected and tested. Among the men, 68 have red/green color blindness. Among the women, 5 have red/green color blindness. We wish to test the claim that men have a higher rate of red/green color blindness. The test statistic is?The p-value is?
- Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 20 having a common attribute. The second sample consists of 1800 people with 1291 of them having the same attribute. Compare the results from a hypothesis test p1=p2 (with a 0.05 significance level) and a 95% confidence interval estimate of p1-p2. What are the null and alternative hypotheses for the hypothesis test?In 2018, a study was conducted that stated 22.6% of residents in Kern County live below the poverty line. Suppose you were hired to determine if that percentage has changed since the study was conducted. You randomly sample 200 residents from Kern County and find that 35 of them fall below the poverty line. Carry out the appropriate hypothesis test at the a = 0.05 level of significance to determine if the true proportion of Kern County residents that live below the poverty line is lower than what it was in 2018.A telephone poll of 500 adult Americans was reported in an issue of Time Magazine. One of the questions asked was “What is the main problem facing the country?” Thirty percent answered “crime”. We are interested in the population proportion of adult Americans who feel that crime is the main problem. Define the random variables X and P’ in words. Which distribution should be used for this problem? Explain your choice. Construct a 97% confidence interval for the population proportion of adult Americans who feel that crime is the main problem. i. State the confidence interval, ii. Sketch the graph, iii. Calculate the error bound 4. Suppose we want to lower the sampling error. What is one way to accomplish that?
