Assume that matched pairs of data from a poll of Internet users who were asked i
ID: 3353875 • Letter: A
Question
Assume that matched pairs of data from a poll of Internet users who were asked if they make travel plans through the Internet result in 307 positive signs, 410 negative signs, and 24 ties when the value of the second variable is subtracted from the corresponding value of the first variable. Use the sign test with a 0.10 significance level to test the null hypothesis of no difference. Since the test statistic falls within the critical region, reject the null hypothesis of no difference. Since the test statistic falls within the critical region, fail to reject the ull hypothesis of no difference. Since the test statistic does not fall within the critical region, reject the ull hypothesis of no difference. Since the test statistic does not fall within the critical region, fail to reject the mul hypothesis of no difference.Explanation / Answer
for no difference critical value z =|1.645|
total sample size n=307+410 =717
population mean =0.5*n0.5*717 =358.5
std deviation =0.5*(n)1/2 =13.388
here sample mean =307
therefore test statistic =(X+0.5-mean)/std deviation =(307+0.5-358.5)/13.388 =-3.81
as test statistic is higher than absolute critical value ; therefore it falls within critical region.
correct option:
since the test statisitc falls within critical region reject the null hypothesis of no difference,