As of 2012, the proportion of students who use a MacBook as their primary computer is 0.43. You believe that at your university the proportion is actually less than 0.43. If you conduct a hypothesis test, what will the null and alternative hypotheses be? 1) Ho: p < 0.43 HA: p≥ 0.43 2) Ho: p ≤ 0.43 HA: p>0.43 3) Ho: p > 0.43 HA: p ≤ 0.43 4) Ho: p ≥ 0.43 HA: p<0.43 5) Ho: p = 0.43 HA: p = 0.43
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- When conducting a hypothesis test, what would it mean if the researcher obtains a negative test statistic? The sample is too small. It’s very unlikely the results would have occurred just by chance alone. The sample statistic is smaller than the claimed population parameter. A mistake was made in terms of calculating the test statistic. The sample statistic is larger than the claimed population parameter.Suppose are running a study/poll about the proportion of women over 40 who regularly have mammograms. You randomly sample 118 people and find that 98 of them match the condition you are testing.Suppose you have the following null and alternative hypotheses for a test you are running:H0:p=0.8H0:p=0.8Ha:p>0.8Ha:p>0.8Calculate the test statistic, rounded to 3 decimal places53% of students entering four year colleges receive a degree within six years. Is this percent larger than for students who play intramural sports? 158 of the 259 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of a 0.05? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: (please enter a decimal) Please enter a decimal) c. The test statistic (please show your answer to 3 decimal places.) d. The p-value- e. The p-value is ? (Please show your answer to 4 decimal places.) a Based on this, we should Select an answer g. Thus, the final conclusion is that the null hypothesis The data suggest the populaton proportion is significantly larger than 53% at dr-005, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is larger than 53% The data suggest the population…
- A news article that you read stated that 54% of voters prefer the Democratic candidate. You think that the actual percent is larger. 129 of the 212 voters that you surveyed said that they prefer the Democratic candidate. What can be concluded at the 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ? v| Select an answer v (please enter a decimal) H1:|? v|| Select an answer v (Please enter a decimal) c. The test statistic ? v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population proportion is not significantly larger 54% at a = 0.10, so there is sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is equal to 54%. O The data suggest the…Suppose you have a friend that thinks at least a quarter (25% or 0.25) of all US adults believe in ghosts. Thus, the null hypothesis would be, HO: p = 0.25 Suppose a telephone survey of 1000 randomly selected US adults found that 0.31 or 31% of them say they believe in ghosts. If the null hypothesis is true, the uncertainty or Standard Error in this sample proportion = 0.014 Based on this information, what is the value for the Z-statistic in this hypothesis test? (Round your answer to two decimal places.) Answer:You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 74% at a level of significance of = 0.01. According to your sample, 51 out of 62 potential voters prefer the Democratic candidate. a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?> Select an answer (please enter a decimal) H₁ Select an answer (Please enter a decimal) c. The test statistic? = your answer to 3 decimal places.) d. The p-value = to 4 decimal places.) e. The p-value is ? ✰ a (please show (Please show your answer f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly larger than 74% at a = 0.01, so there is not sufficient evidence to conclude that the proportion of voters who prefer the Democratic candidate is larger than 74%. The data suggest the population proportion is not…
- A university has decided to introduce the use of plus and minus grading as long as there is evidence that 60% of the faculty is in support of this change. Write an appropriate null hypothesis and alternate hypothesis to test if the proportion is greater than 60%.State the alternative hypotheses for the following claim: Although Americans account for only 4% of the world population, they account for 35% of the world’s suicide with a firearm. State the alternative hypotheses for the following claim: Although Americans account for only 4% of the world population, they account for 35% of the world’s suicide with a firearm. p ≠ .35 p = .35 p ≥ .35 p < .35According to the Centers of Disease Control, about 22% of American young people between the ages of 12 and 19 are obese.A student claims that the students in his local schools are in better shape than the national average, so their proportion of obese students is less than 22%. Which are the appropriate null and alternative hypotheses for this study? H0: p = 22%, HA: p < 22% H0: p ≠ 0, HA: p = 0 H0: p = 22%, HA: p > 22% H0: p = 22%, HA: p ≠ 22% Suppose that the result is to Fail to reject H0.Which is the proper conclusion? There is sufficient evidence to support the claim that the students at his local schools have a smaller proportion of obese students. There is not enough information to answer this question. There is not sufficient evidence to support the claim that the students at his local schools have a smaller proportion of obese students.
- The U.S. Department of Labor stated that the national unemployment rate was 4.9%. Of a sample of 90 people in one city, 5.2% were unemployed. Can the city conclude that their unemployment rate is the same as the national average? Do we reject the null hypothesis? (Answer on Excel)Prof. Johnson conducts a hypothesis test on whether the proportion of all UBC students who bike to school (denoted as p)�) equals 30%. Specifically, Prof.Johnson has H0:p=0.3�0:�=0.3 versus HA:p≠0.3��:�≠0.3. He obtains a P�-value of 0.01. On the other hand, Prof. Smith would like to test if there is sufficient evidence to support that p� is greater than 0.3 at the 10% significance level. Based on Prof. Johnson's result, will the null hypothesis of Prof. Smith's test be rejected?A. Yes.B. No.C. There is insufficient information to tell.What are the null and alternative hypotheses? A.H0: The racial distribution is the same in at least two of the four regions. Ha: The racial distribution is not the same in at least two of the four regions. B. H0: The racial distribution is the same in each of the four regions. Ha: The racial distribution is not the same in each of the four regions. C. H0:The racial distribution is not the same in each of the four regions. Ha:The racial distribution is the same in each of the four regions. D. H0: The racial distribution is not the same in at least two of the four regions. Ha: The racial distribution is the same in at least two of the four regions. Find the test statistic. χ2= (Round to three decimal places as needed.) Find the P-value. P= (Round to three decimal places as needed.) Choose the correct conclusion below. A. Do not reject H0. The data do not provide sufficient evidence that there is a difference. B. Do not reject…