Question

Verizon claims that the new 5G phone network is more reliable than the older 4G network – they believe that the proportion of dropped calls will be lower with 5G. The proportion of dropped calls with 4G is known to be 0.18. A hypothesis test is proposed to verify Verizon’s belief.

1) What are the hypotheses?    

A) Ho: p < 0.18, Ha: p = 0.18  B) Ho: p > 0.18, Ha: p < 0.18   C) Ho: p = 0.18, Ha: p > 0.18   D) Ho: p = 0.18, Ha: p < 0.18

2) If the significance level is set at α = 0.10, and the p-value of the test statistic result is 0.12, then would Ho be rejected? (Yes or No?)

Answer 1

1)

since, the proportion of dropped calls will be lower with 5G as compaired to 4G.

proportion of dropped calls will be higher with 4G as compaired to 5G.

hypotheses is

C) Ho: p = 0.18, Ha: p > 0.18  

2)

significance level ( α ) = 0.10

p-value = 0.12

decision rule is,

Reject Ho if (P-Value) < ( )

Here, ( P-Value = 0.12) > ( = 0.10 )

Hence,

Null hypothesis is NOT rejected.

NO, Ho would not be rejected.