1. What is wrong with the following hypotheses? H0:x¯=100 vs. Ha:x¯<100 2. What is wrong with the following hypotheses? H0:p^=0.5 vs. Ha:p^≠0.5

Calculate the test statistic for the test of hypotheses

Studies done by the CDC have found that about 35.2% of all American adults do not get enough sleep (<7 hours) in 2014. Researchers feel that this percent is higher for men (age 18-24). From a sample of 200 men, 88 indicated that they get less than 7 hours of sleep. Test the researchers' hypothesis that the percent is higher than 35.2%. Write down the null and alternative hypotheses. b. Calculate the test statistic. Mr C. Calculate the p-value. d. Based on the p-value, what is your conclusion? a.

In a survey of 1120 new college graduates 281 had a professional job on graduation day. One year ago the proportion of graduates with a professional job on graduation day was .24 or 24%. The setup of the null and alternative hypotheses to test whether there is sufficient evidence to conclude that the proportion of graduates with a professional job is higher now than it was one year ago is: (a) Ho :p= .24 vs. H1 : p .24 (d) Ho : p = .25 vs. H1 : p .24 The value of the test statistic is: (а) 2.109 (b) .011 (c) .841 (d) 28.141 (е) .854

Are couples that live together before they get married just as likely to end up divorced within five years of marriage compared to couples that live apart before they get married? 268 of the 674 couples from the study who lived together before they got married were divorced within five years of marriage. 173 of the 405 couples from the study who lived apart before they got married were divorced within five years of marriage. What can be concluded at the  = 0.05 level of significance? For this study, we should use Select an answer z-test for a population proportion t-test for a population mean t-test for the difference between two independent population means z-test for the difference between two population proportions t-test for the difference between two dependent population means  The null and alternative hypotheses would be:          Select an answer μ1 p1  Select an answer ≠ > < =  Select an answer p2 μ2        Select an answer μ1 p1  Select an answer < = > ≠  Select…

A demographer wants to know what proportion of women in different countries dye their hair. They take a random sample of women from Korea and another random sample of women from China. In Korea, 47% dyed their hair. In China, 56% dyed their hair. (a) What hypotheses would the demographer use to test if women in China are more likely to dye their hair than women in Korea? H0: pChina=pKorea vs. Ha: pChina ≠ pKoreaH0: pChina - pKorea = 0 vs. Ha: pChina - pKorea > 0    H0: μChina-μKorea = 0 vs. Ha: μChina-μKorea ≠ 0H0: pChina-pKorea = 0.09 vs. Ha: pChina-pKorea ≠ 0.09H0: μChina = 0.56 vs. Ha: μKorea = 0.47 (b) Suppose their test yielded a p-value of 0.079. What does this mean in the context of the test? We are 7.9% confident that the results of our test are correct.If the women of two countries have the same rates of coloring their hair, the probability of getting a difference at least this large is 0.079.    If we take another sample, the probability of getting the same p̂China and…

An Internet provider is trying to gain advertising deals and claims that the mean time the competitors' customers spend online per day is less than 33 minutes. You are asked to test this claim.   ​(a) How would you write the null and alternative hypotheses if you represent the Internet provider and want to support the​ claim? ​(b) How would you write the null and alternative hypotheses if you represent a competing advertiser and want to reject the​ claim?       (a) H0​: ▼   pp muμ sigmaσ sigma squaredσ2 ▼   less than< greater than> less than or equals≤ greater than or equals≥ not equals≠ 33   Ha​: ▼   sigma squaredσ2 muμ pp sigmaσ ▼   less than or equals≤ not equals≠ greater than> greater than or equals≥ less than< 33 (b) H0​: ▼   muμ sigma squaredσ2 pp sigmaσ ▼   less than< greater than or equals≥ not equals≠ greater than> less than or equals≤ 33   Ha​: ▼   muμ sigma squaredσ2…

Previously, 5% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of mothers who smoke 21 cigarettes or more is less than 5% today. She randomly selects 140 pregnant mothers and finds that 5 of them smoked 21 or more cigarettes during pregnancy. Test the researcher's statement at the a = 0.05 level of significance. What are the null and alternative hypotheses? < 0.05 Họ: p = 0.05 versus H,: p (Type integers or decimals. Do not round.) Because npo (1- Po) < 10, the normal model may not be used to approximate the P-value. (Round to one decimal place as needed.)

1.