A group of students was doing a research work about the proportion of smokers among the employees of a certain manufacturing plant. A random sample of 500 employees showed that 150 of them smoke. a. If we want to test Ho: p = 0.25 against H₁ :p 0.25, then the test (Round off your answer to 3 statistics is equal to decimal places b. If we want to test Ho: p = 0.25 against H₁ p = 0.25, at a level of significance of 0.10, the acceptance region is (Select your answer from the choices below - write, either 1, 2, 3 or4)
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- Which of the following can cause OLS estimators to be biased?(i) Heteroskedasticity.(ii) Omitting an important variable.(iii) A sample correlation coefficient of .95 between two independent variables both included in the model.The NAEP considers that a national average of 283 is an acceptable performance. Using α = .05, run a two-tail t-test for one sample to test Ho: µ=283 for the 2019 scores. Report the t-obt, df, and p-values. Would you reject the null hypothesis that the 2019 scores come from a population with average 283? If this is the case, does it come from a population from larger or smaller average?Question 17: A well-known brokerage firm executive claimed that 90% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 100 people, 81% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is smaller than 90% at the 0.05 significance level.The null and alternative hypothesis would be: H0:p≤0.9H0:p≤0.9H1:p>0.9H1:p>0.9 H0:μ≤0.9H0:μ≤0.9H1:μ>0.9H1:μ>0.9 H0:μ≥0.9H0:μ≥0.9H1:μ<0.9H1:μ<0.9 H0:μ=0.9H0:μ=0.9H1:μ≠0.9H1:μ≠0.9 H0:p=0.9H0:p=0.9H1:p≠0.9H1:p≠0.9 H0:p≥0.9H0:p≥0.9H1:p<0.9H1:p<0.9 The test is: two-tailed right-tailed left-tailed The test statistic is: (to 3 decimals)The p-value is: (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
- Do types of crimes reported on television newscasts differ by the age of the criminals? A researcher uses her dvr to record the local television news for a 2-week period of time. She records the types of crimes and notes the age of the offender. Conduct a chi-square test (alpha = .05) of the null hypothesis that televised offense type does not vary by age group of offender. Offense type Young middle age older violent 27 10 3 property 14 12 11 sex 7 9 5 Report the obtained chi-square, df, and critical chi-square. Report your findings based on the null hypothesis.If the value of Cronbach’s alpha is 0.07, it means ___________; a. Research instrument is not reliable b. Research instrument is internally consistent c. Data is reliable d. Data is internally consistentQuestion 9 A well-known brokerage firm executive claimed that 60% of investors are currently confident of meeting their investment goals. An XYZ Investor Optimism Survey, conducted over a two week period, found that in a sample of 100 people, 61% of them said they are confident of meeting their goals.Test the claim that the proportion of people who are confident is larger than 60% at the 0.10 significance level.The null and alternative hypothesis would be: H0:μ≤0.6H0:μ≤0.6H1:μ>0.6H1:μ>0.6 H0:p≥0.6H0:p≥0.6H1:p<0.6H1:p<0.6 H0:p≤0.6H0:p≤0.6H1:p>0.6H1:p>0.6 H0:μ≥0.6H0:μ≥0.6H1:μ<0.6H1:μ<0.6 H0:μ=0.6H0:μ=0.6H1:μ≠0.6H1:μ≠0.6 H0:p=0.6H0:p=0.6H1:p≠0.6H1:p≠0.6 The test is: left-tailed right-tailed two-tailed The test statistic is: (to 2 decimals)The p-value is: (to 4 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
- Consider the following: In general, when people diet they typically lose 10 lbs. (?σ = 2). A random sample of 16 people on the keto diet lost 15 lbs. Do people on the keto diet lose more or less weight than people on diets in general? 3. What is the Null Hypothesis? a)On average, weight loss in the keto diet sample does not differ from weight loss in the population of dieters in general. (H0: X-bar = Mu)) b)On average, weight loss in the keto diet sample does not differ from weight loss in the population of dieters in general. (H0: X-bar does not equal Mu) c)On average, weight loss in the keto diet sample differs from weight loss in the population of dieters in general. (H0: X-bar does not equal Mu) d)On average, weight loss in the keto diet sample differs from weight loss in the population of dieters in general. (H0: X-bar = Mu)A large manufacturing company investigated the service it received from its suppliers and discovered that, in the past, 38% of all material shipments were received late. However, the company recently installed a just-in-time system in which suppliers are linked more closely to the manufacturing process. A random sample of 150 deliveries since the just-in-time system was installed reveals that 33 deliveries were late. If we want to test whether the proportion of late deliveries was reduced signicantly at = 0:10 the null and alternative hypotheses are a. Null hypothesis (H0) b. Alternative hypothesis (HA)