This document discusses using a significance level of 0.05 to test the null hypothesis that less than half of Americans ages 14 to 18 usually use social media while watching TV, against alternative hypotheses. With a sample size of 700 and 45% of the sample indicating social media use, the test statistic is calculated and the p-value is used to determine whether to reject or fail to reject the null hypothesis. With a smaller sample size of 100 but the same percentage indicating social media use, the same analysis is done to determine if there is convincing evidence against the null.

1. Is there convincing evidence that less than half of Americans ages 14 to 18 years usually use
social media while watching TV? Use a significance ievel of a. os. State the appropriate nuil and
altemative hypotheses. H0:P=0.5versusHa:p=0.5H0:p=0.5versusHa:p<0.5H0:p=0.5versusHa:p=
0.5H0:p=0.5versusHa:p>0.5H0:P<0.5versusHa:p>0.5 Find the test statistic and Prvalub (Use a
table or 5AL. Round your test statistic to tae decimal places and your P.value to four dedimai
places.) z=prvalue= State the conclusion in the problem context. Fail to reject H0. We have
comvincing evidence that less then hat of Americans ages 14 to to veans usually use socia media
while watching TV. Reject H0. We do nok have convincing evidence that less than half of
Amencans ages 14 to 15 years usually use social medus ahile natching TY Reject H0. We have
comvincing evidence that less than haif of Amencans ages 14 to 18 years usually use secigl
media whiln watching Th. Fail to reject H0. We do not have convincing evidence that less than half
of Amencans ages 14 to 18 years usually use social meda while inataking TV (b) Siopose that the
sample size had been 100 rather than 700 and that 45% of those in the sample indicated that they
usualy use social medis while matuting TK. Bwed on mig samie ef evidence that less than haif af
Americans ages 14 to 18 years usually use social media while watching TV? Use a significance
lerel of 0.05 . State the appropriate nuil and aiternative bypotheses. H0:P=0.5versusHa:D>0.5H0p
=0.5versusHa:p<0.5H0p+0.5versusHa:=0.5H0P<0.5versusHap>0.5H0P=0.5versusH:p+0.5