Suppose that we are testing Ho: u = 4 vs Ha:u > 4. A p-value of 0.023 was determined. Which of the following is a correct interpretation of this p-value? (a) The null hypothesis would be rejected at a 5% level but not a 1% level. (b) The null hypothesis would be rejected at a 1% level but not a 5% level.
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- 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 researcher who wants to know whether the proportion of male births in a hospital is different from the established baseline of 51.07%, would like to test the following hypotheses: Ho:P = 0.51 vs. Ha :P = does not equal 0.51 a) Is the alternative hypothesis upper tail, lower tail, or two tailed? b) What do you conclude if the test results p-value of 0.03 at alpha value = 5% c) What do you conclude if the test results p-value of 0.08 at alpha value = 10%Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 124.32 µg/l and an SD of 37.74 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 35 µg/l. Write down the hypotheses that would be appropriate for testing if the police officers appear to have been exposed to a higher concentration of lead. Explicitly state and check all conditions necessary for inference on these data. Test the hypothesis that the downtown police officers have a higher lead exposure than the group in the previous study. Interpret your results in context. Based on your preceding result, without performing a calculation, would a 99% confidence interval for the average blood concentration…
- Method A: M1= 54, SS1= 400, n1= 15 Method B: M2=40, SS2= 440, n2=15 Using alpha=0.05 should the null hypothesis by rejected for the above data?As a result of complaints from customers about delivery times, the manager at a pizza delivery service is ready to undertake a study to determine the average delivery time. Until now, the manager has believed the delivery time was 20 minutes. Question content area bottom Part 1 What are the null and alternative hypotheses? H0: ▼ Upper X overbarX sigmaσ ss betaβ muμ alphaα ▼ equals= not equals≠ enter your response here H1: ▼ sigmaσ alphaα ss Upper X overbarX betaβ muμ ▼ equals= not equals≠ enter your response hereFor question #2, identify the null hypothesis (Ho) from choices given. For question #3 give just your calculated z-value that you are going to use to make a decision on the null hypothesis. For question #4, answer True or False as to whether the null hypothesis is rejected.
- 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? 4. What is the research hypothesis? a) Weight loss in the keto diet sample does not differ from weight loss in the population of dieters in general (H1: X-bar = Mu) b)Weight loss in the keto diet sample does differ from weight loss in the population of dieters in general (H1: X-bar = Mu) c) Weight loss in the keto diet sample does not differ from weight loss in the population of dieters in general (H1: X-bar does not equal Mu) d) Weight loss in the keto diet sample does differ from weight loss in the population of dieters in general (H1: X-bar does not equal Mu)We tested to see if people who consumed caffeine had a lower average reaction time than those who didn’t consume caffeine at the alpha = 0.08 level. Assume we found a p-value of 0.5437. Which below would be an appropriate conclusion and interpretation? With an alpha of 0.08, and a p-value of 0.5437, we fail to reject the null and state we have insufficient evidence to support that the true average reaction time of caffeine consumers was less than that of non-caffeine consumers. With an alpha of 0.08, and a p-value of 0.5437, we reject the null and state we have sufficient evidence to support that the true average reaction time of caffeine consumers was less than that of non-caffeine consumers. With an alpha of 0.08, and a p-value of 0.5437, we fail to reject the null and state we have sufficient evidence to support that the true average reaction time of caffeine consumers was less than that of non-caffeine consumers. With an alpha of 0.08, and a p-value of 0.5437, we…In a local community past data shows that 17% of the residents own a skateboard, and the city is considering building more green lanes to accommodate these skate boarders as a recent survey showed that 63 out of 270 people supported the concept of more green lanes on the city's streets. a) State the null and alternative hypothesis. b) Find a Z and P-value, and state your conclusion using alpha = 5% c) Re-do part (b) using the Chi-square test, also stating your conclusion using alpha = 5%
- Question 16: Test the claim that the proportion of people who own cats is larger than 50% at the 0.005 significance level.The null and alternative hypothesis would be: H0:μ=0.5H0:μ=0.5H1:μ≠0.5H1:μ≠0.5 H0:p≤0.5H0:p≤0.5H1:p>0.5H1:p>0.5 H0:μ≤0.5H0:μ≤0.5H1:μ>0.5H1:μ>0.5 H0:p=0.5H0:p=0.5H1:p≠0.5H1:p≠0.5 H0:μ≥0.5H0:μ≥0.5H1:μ<0.5H1:μ<0.5 H0:p≥0.5H0:p≥0.5H1:p<0.5H1:p<0.5 The test is: left-tailed right-tailed two-tailed Based on a sample of 200 people, 56% owned catsThe test statistic is: (to 2 decimals)The p-value is: (to 2 decimals)Based on this we: Fail to reject the null hypothesis Reject the null hypothesisA nationwide study of undergraduate students reported that the mean number of drinks consumed per week during the spring semester is 7.96. The mean number of drinks consumed per week at USC is 7.64 (s.d.=2.55, N=412 Health services is concerned that USC students are consuming significantly more alcohol per week than the national average. Using an alpha level of .05, Is there sufficient evidence to be concerned? Be sure to select the correct critical value for the alternative hypothesis, and then use this evidence to make your conclusionUnder alpha 0.05 should you reject or retain the null hypothesis