A veterinarian is interested in researching the proportion of men and women cat owners and believes that the proportion of men cat owners is significantly different than the proportion of women cat owners. The veterinarian decides to obtain two independent samples of men and women cat owners and finds from one sample of 60 men, 45% owned cats. In the second sample of 80 women, 70% owned cats. Test the veterinarian's belief at the a = 0.1 significance level.
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- Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 408 depressed individuals is selected and treated with Resithan, and 192 find relief from their depression. A random sample of 520 depressed individuals is independently selected from the first sample and treated with Exemor, and 211 find relief from their depression. Can we conclude, at the 0.05 level of significance, that the proportion p1 of all depressed individuals taking Resithan who find relief from depression is greater than the proportion p2 of all depressed individuals taking Exemor who find relief from depression? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.)What Proportion of College Students Are Satisfied with Their Overall Academic Expereince? Exercise 2.16 introduces a survey of 5204 first-year full-time college students in the US. The survey was administered at the end of the first year, and 4122 of the students in the sample said that they were satisfied with their overall academic experience during the first year. Does the data from this sample provide evidence that more than 75% of US full-time students are satisfied with their overall academic experience at the end of their first year? Give all details of the hypothesis test. Test-statistic = (round to the nearest whole)p-value = (round to three decimal places)Conclusion:. Reject H0; We cannot conclude that more than 75% are satisfied. Do not reject H0; More than 75% of US students are satisfied with their overall academic experience. Do not reject H0; We cannot conclude that more than 75% are satisfied. Reject H0; More than 75% of US…Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 510 depressed individuals is selected and treated with Resithan, and 187 find relief from their depression. A random sample of 474 depressed individuals is independently selected from the first sample and treated with Exemor, and 152 find relief from their depression. Can we conclude, at the 0.05 level of significance, that the proportion p1 of all depressed individuals taking Resithan who find relief from depression differs from the proportion p2 of all depressed individuals taking Exemor who find relief from depression? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult
- A major credit card company is interested in the proportion of individuals who use a competitor’s credit card. Their null hypothesis is H0: p=0.65H0: p=0.65, and based on a sample they find a sample proportion of 0.70 and a pp-value of 0.053. Is there convincing statistical evidence at the 0.05 level of significance that the true proportion of individuals who use the competitor’s card is actually greater than 0.65 ? Yes, because the sample proportion 0.70 is greater than the hypothesized proportion 0.65. A Yes, because the pp-value 0.053 is greater than the significance level 0.05. B No, because the sample proportion 0.70 is greater than the hypothesized proportion 0.65. C No, since the sample proportion 0.70 is exactly 0.05 away from the hypothesized proportion 0.65. D No, because the pp-value 0.053 is greater than the significance level 0.05.A researcher is comparing the occurrence of nausea as a side-effect in two brands of medication: Brand A and Brand B. For a random sample of 150 Brand A users, 66 experienced nausea as a side-effect. For a random sample of 200 Brand B users, 118 experienced nausea as a side-effect. Can the researcher conclude that the proportion of all Brand A users who experience nausea as a side-effect is different from the proportion of all Brand B users who experience nausea as a side-effect. For the hypothesis testing scenario above, the researcher concludes that the two proportions are different at the 0.01 significance level. Compute the 99% confidence interval to estimate the difference.Paraquat is one of the most widely used herbicides and is highly toxic to In a study to assess the protective effects of a new agent A against paraquat, 200 rats were randomly assigned to three groups. The first group (treatment I) was administered paraquat; the second group (treatment II) was administered paraquat plus a low dose of agent A; the third group (treatment III) was administered paraquat plus a high dose of agent A. The number of rats that survived more than eight days for each group was recorded and are presented in Table 2 (attached). Suppose we want to answer the following question: (i) Test, at the 1% level of significance, whether agent A affects the survival rate of paraquat infected rats. Chi sqaure statistic summary also attached. a. What is the value of the observed test statistic associated with the test in question b. What is the p-value associated with the test in question (i)? c. At the 1% level of significance, does the p-value support the claim that agent A…
- Two popular drugs used for the treatment of depression are Resithan and Exemor. A random sample of 590 depressed individuals is selected and treated with Resithan, and 203 find relief from their depression. A random sample of 481 depressed individuals is independently selected from the first sample and treated with Exemor, and 179 find relief from their depression. Can we conclude, at the 0.05 level of significance, that the proportion p1 of depressed individuals taking Resithan who find relief from depression is less than the proportion p2 of all depressed individuals taking Exemor who find relief from depression? Perform a one-tailed test. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic:(Round to at least three decimal places.) The critical value at the 0.05 level of significance:(Round to at least three…Determine whether the results appear to have statistical significance, and also determine whether the results appear to have practical significance. One of a botanist's hybridization experiments with peas yielded 500 offspring with 130 of those peas (or 26%) have yellow pods. According to genetic theory, 25% of the offspring peas should have yellow pods. Does the result have statistical significance? According to genetic theory, ( ) of the 500 peas would have yellow pods. The difference between the actual number of peas with yellow pods and the expected number of peas with yellow pods is ( ) pea(s). This difference (does or does not appear?) to be statistically significant. (Type whole numbers.) Part 2 Does the result have practical significance? This difference (does or does not appear)? to have practical significance, because the difference between the actual number of peas with yellow pods and the expected number of peas with yellow pods is (very…You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly different from 65% at a level of significance of αα = 0.01. According to your sample, 39 out of 55 potential voters prefer the Democratic candidate. Thus, the final conclusion is that ... The data suggest the populaton proportion is significantly different from 65% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 65% The data suggest the population proportion is not significantly different from 65% at αα = 0.01, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 65%. The data suggest the population proportion is not significantly different from 65% at αα = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is different from 65%. Interpret…
- A pharmaceutical company wants to test whether aspirin 1 is as effective as aspirin 2. A random sample of 400 people with headaches are given Aspirin 1 and 260 report that they feel better within 1 hour. Another independent random sample of 350 people with headaches are given aspirin 2 and 220 report that they feel better within 1 hour. a) at the 1% level of significance, does there appear to be a difference in effectiveness of the 2 types of aspirin? b) what is the P value?A personal trainer wanted to test the effectiveness of two different workout routines. She took a random sample of 70 of her clients and, in a random order, had them complete one of the two routines for two weeks. Then, after a one-month waiting period, she asked them to come back and do the other routine for two weeks. After each two-week period of the exercise routines, she measured their performance on a physical fitness aptitude test. She found the average difference in aptitude scores between the two routines for each client was 30.4 with a standard error of 3.2. What would be her 85% confidence interval for the average difference in the effectiveness of the two routines? (3 decimal places) ( , )A researcher is studying two types of medication that both treat hives. 23 out of the random sample of 334 adults given medication A still had hives 30 minutes after taking the medication. 18 out of another random sample of 346 adults given medication B still had hives 30 minutes after taking the medication. Test to see if the proportion of people who still had hives after medicine A is different than the proportion of people who still had hives after medicine B. Use a 0.01 level of significance.