what is the test statistic? what is the p value?
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Do consumers spend more on a trip to Store A or Store B? Suppose researchers interested in this question collected a systematic sample from
Store A customers and Store B customers by asking customers for their purchase amount as they left the stores. The data collected is summarized by the accompanying table. Suppose researchers decide to test the hypothesis that the means are equal. The degrees of freedom formula gives 162.75 df. Test the null hypothesis at α=0.10.
store a store b
n 83 82
y 42 55
s 20 19
what is the test statistic?
what is the p value?
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- a researcher conducts a hypothesis test using a sample from an unknown population. if the t statistic has df= 35, how many individuals were in the sample?1. A researcher reports an F-ratio with df(between) = 3 and df(within) = 28. How many treatment conditions were compared in the experiment? If samples have an equal number of participants, how many are in each treatment? 2. A researcher obtains an F = 4.10 with df = 2, 14. Is this value sufficient to reject the null with α = .05? Is it sufficient enough to reject the null with α = .01?Dr. Chapman conducted an experiment in which participants watched paint dry for 30 minutes twice, once being paid $1 and once being paid $30. When comparing the samples, he calculated t = 3.57. He assumed α = .01 with df = 5, so the tcv = ±4.032. Because the calculated value was: A. greater than the critical value, Dr. Chapman can reject the null hypothesis. B. greater than the critical value, Dr. Chapman failed to reject the null hypothesis. C. less than the critical value, Dr. Chapman failed to reject the null hypothesis. D. less than the critical value, Dr. Chapman can reject the null hypothesis.
- p 15 Is sunscreen with an SPF 30 rating more effective at preventing sunburn than sunscreen with an SPF 15 rating? At the alpha = 0.05 level of significance, test the claim that SPF 30 sunscreen is better at preventing sunburn than 15 sunscreen. Let represent the proportion of SPF 15 sunscreen wearers who get a sunburn and represent the proportion of SPF 30 sunscreen wearers who get a sunburn. (Round your results to three decimal places) 1. Which would be correct hypotheses for this test? O O H 0 :p 15 =p 30 , H 1 :p 15 ne p 30 H 0 :p 15 =p 30 , H H 1 :p 15 <p 30 O H 0 :p 15 <p 30 ,H 1 :p 15 >p 30 O H 0 :p 15 =p 30 H 1 :p 15 >p 30 A random sample of 250 beach-goers were given SPF 15 sunscreen and asked to lay in the sun for 1 hour10 of them later reported a sunburn. Another random sample of 250 beach- goers were given SPF 30 sunscreen and asked to lay in the sun for 1 hour. 7 of them later reported a sunburn. 2.Find the test statistic 3. Give the P-value: answer only…A sample of n = 16 scores produces a t statistic of t = 2.00. If the sample is used to measure effect size with r2, what value will be obtained for r2?A regression on the original regressors, ?̂t2 and a constant term yields the following statistics: R2 = 0.296041 F = 1.177507 coeff of ?̂t2 has a t-statistic of 2.876 With this information, which test can you implement to deal with the problem omitted variables and why? Implement the test as stated in b(i) and interpret the results. What is (are) the consequence(s) of the problem alluded to above on the estimators?
- A question of medical interest is whether jogging leads to a reduction in systolic blood pressure. To learn about this question, eight non-jogging volunteers have agreed to begin a 1-month jogging program. At the end of the month, their blood pressures were determined and compared with earlier values. The data are presented in the Table 1. a. The appropriate hypotheses are: H0 :μ1−μ2 =0 versus Ha :μ1−μ2 /= (does not equal) 0 H0 :μ1−μ2 =0 versus Ha :μ1−μ2 <0 H0 :μ1−μ2 =0 versus Ha :μ1−μ2 >0 b. The value of test statistic is 1. 0.577 2. −0.577 3. 0.237 4. -0.237 c. The p−value of test is 1. 0.816 2. 0.408 3. 0.582 4. 0.291 d. At the significance level calculated in part (c), we conclude that jogging i. Leads to reduction in systolic blood pressureii. Does not lead to reduction in systolic blood pressureA researcher is testing the effect of marijuana use on reaction time. A sample of n = 9 students is obtained and each student is given a dose of marijuana. Thirty minutes later, each student's reaction time is measured in a driving simulator. The scores for the sample of students averaged M = 211 milliseconds with SS = 1152. Assuming that reaction time for students in the regular population averages μ = 200 milliseconds, are the data sufficient to conclude that the medication has a significant effect on reaction time? Test at the .05 level of significance. Which of the four options below is the best answer? Type the letter “A” or “B” etc. in the box Option A. Accept the null, marijuana has no effect on reaction time Option B. Accept the null, marijuana does affect reaction time Option C. Reject the null, marijuana has no effect on reaction time Option D. Reject the null, marijuana does affect reaction time Compute r 2, the percentage of variance explained by the treatment effect.…Do consumers spend more on a trip to Store A or Store B? Suppose researchers interested in this question collected a systematic sample from 83 Store A customers and 81 Store B customers by asking customers for their purchase amount as they left the stores. The data collected is summarized by the accompanying table. Suppose researchers decide to test the hypothesis that the means are equal. The degrees of freedom formula gives 159.36 df. Test the null hypothesis at α=0.05. Store A Store B n 83 81 y 44 54 s 21 18 Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: μA−μB≠0 HA: μA−μB=0 B. H0: μA−μB=0 HA: μA−μB≠0 C. H0: μA−μB=0 HA: μA−μB>0 D. H0: μA−μB=0 HA: μA−μB<0 Compute the test statistic. t=nothing (Round to two decimal places as needed.) Find the P-value. The P-value is nothing. (Round to three decimal places as needed.)…
- You conduct a regression of the squared residuals against the dummy variables X1, X2, and X3 and find that for the squared residuals regression: Multiple R 0.4145 R Square 0.1718 Adjusted R Square 0.1600 SEE 92.3760 Conduct a test at the level to see if conditional heteroskedasticity is present In view of your answer for a), what needs to be done?The time X of a radioactive isotope decays with an expected value of 10 years, and is modeled as an exponential random variable. a) What is the parameter λ of the exponential RV X? b) Compute P(X < 10).Data from the 2014 General Social Survey (GSS) show that out of n=1,606 adult respondents, the proportion who reported having voted for Barack Obama in the 2008 presidential election was 0.61 Q: If I calculate a z test static of 4.84, and my alpha = 0.05, what decision should I make about the hypothesis? (Calculate the p-value for a 2-sided test to make your decision.) Options: A: fail to reject the null hypothesis that the proportion of American adults who voted for Obama in 2008 was 0.55 B: reject the null hypothesis that the proportion of American adults who voted for Obama in 2008 was 0.55 C: Reject the alternative hypothesis that the proportion of American Adults who voted for Obama in 2008 was not equal to 0.55 D: Fail to reject the alternative hypothesis that the proportion of American adults who voted for Obama in 2008 was not equal to 0.55
