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Previous 1 2 3 4 Next Question 1 of 4 (1 point) View problem in a pop-up Many people believe that the average number of Facebook friends is 135. The population standard deviation is 38.4. A random sample of 47 high school students in a particular county revealed that the average number of Facebook friends was 145. At 0.05, is there sufficient evidence to conclude that the mean number of friends is greater than 135? Use the P-value method. Use a graphing calculator 8.2 Section Exercise 2 (calc) Che Sho Ask h Part 1 out of 4 State the hypotheses and identify the claim with the correct hypothesis. H 0: ? |(select) :( select) ) This hypothesis test is a (select)test. Save Submit

Explanation / Answer

X?= 145

n= 47

sigma= 38.4

H0: u= 135 (equal) ( not claim)

H1: u> 135 (greater )(claim) ... Right tail test/ one tail test

alpha= 0.05

Test Statistics

Z=(X?-u)*sqrt(n)/sigma

=(145-135)*sqrt(47)/38.4

=1.785

P-value=1-P(Z<1.785)= 0.0371041

rounded p-value= 0.0371

..........................

X?= 14431.545

n= 11

s= 2126.544

df= 10

H0: u= 14000 (not claim)

H1: u? 14000 (claim)......... two tail test

Test Statictics

T= (X?-u)*sqrt(n)/s

=(14431.545-14000)*sqrt(11)/2126.544

=0.673051

P-value=0.516166293

rounded p-value=0.5162

.........................

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