07 Working Remotely 8 Points A national poll of workplace managers revealed that 47% of managers plan to allow their employees to continue to work remotely in the future, even if it is possible for them to return to the workplace. A local researcher wishes to know if the rate is different for workplaces in Ann Arbor. The researcher took a sample of 95 managers from the directory of a professional organization and emailed them. Of the 62 managers who replied, 40 reported that they plan to allow their employees to continue to work remotely, and 22 reported that they are unsure or will not allow their employees to continue to work remotely. 07.1 2 Points What is the appropriate null hypothesis to evaluate the local researcher's claim about Ann Arbor? 0H0:p=0 0H0:p=0.47 0H0:p=0.645 OHoip1P2=0 0H0:p1p2=0.47 0H0:p1p2 =0.645 The researcher knows that there is a condition about independence within the sample that needs to be checked. Is the independence within condition reasonably met here? 0 Yes, the researcher has met the condition, by random sampling 62 of the 95 he emailed. 0 Yes, since the researcher took a convenience sample, which is equivalent to taking a random sample. 0 Yes, since the sample size is large enough, we can relax the condition for independence within the sample. 0 It is unclear that the independence condition is met, so we must proceed with caution and add a comment to our findings. 07.3 2 Points The p-value will be found by using which distribution? 0 N(61) O t(61) 0 MO, 1) O t(0, 1) 0 Cannot be determined without more information 07.4 2 Points The test statistic was calculated to be 2.763. The following code was typed into R: pnorm(q = 2.761, mean 0, sd = 1) and returned the value of 0.997. What is the p-value for the hypothesis test that answers the researcher's question? 0 0.997 O 0.006 O 0.003 0 Cannot be determined without more information