Question

At a certain college, it is estimated that at least 34% of students ride bikes to class. Does this seem like a

valid estimate if, in a random sample of 100 college students, 41 are found to ride bikes to class? Be

sure to state the null and alternative hypotheses. Use a level of significance of 0.05.

Answer 1

Solution :

This is the right tailed test .

The null and alternative hypothesis is

H0 : p =0.34

Ha : p >0.34

= x / n = 41/100=0.41

P0 = 0.34

1 - P0 = 1-0.34=0.66

Test statistic = z

= - P0 / [P0 * (1 - P0 ) / n]

= 0.41 -0.34/ [(0.34*0.66) / 100]

= 1.48

P(z >1.48 ) = 1 - P(z <1.48 ) = 1-0.9306=0.0694

P-value = 0.0694

= 0.05

P-value >

0.0694>0.05

not Reject the null hypothesis .

There is no sufficient evidence to suggest tha