Question

Please read the following prompt carefully: "A study found that 34% of college students text while driving. A recent survey found that 353 of 900 randomly selected college students had texted while driving. Based on these findings, does the sample evidence suggest that the proportion of college students who text while driving is greater than 34%? Use the a=0.005 level of significance." Determine the following values by rounding to the nearest indicated decimal place. Please type your solution in the text entry boxes provided a. Po = (Use the form X.XX) b. Họp = (Use the form X.XX) c. Hi:p> (Use the form X.XX)

Answer 1

Solution

Given, x = 353, n= 900 ,

Claim: The proportion of college students who text while driving is greater than 34%.

#a) p₀ =0.34

#b)Null hypothesis H₀ : p= 0.34

#c)Alternative hypothesis H₁ : p > 0.34 (claim)

Test statistics:

z =

P P4 71

Where,

#d) x = 353

#e) n= 900

= r / n  = 353 / 900 = 0.3922

f

#f) 0.39

$Z = \frac{(0.3922-0.34)}{\sqrt\frac{(0.34*0.66)}{900}}$

#g) z_o = 3.31

Test statistic z = 3.31

P –Value = 0.000466

As this is one tail test

#h) α = 0.005

#i) z_c = Critical value based on α = 0.005

Z_0.0025 = 2.807

We have right tail test, critical region is rightmost of 0.05%

j) Z_o is greater than z_c

k) We reject H₀

l) This is a right tailed test

m) One

n) does

o) Proportion