The test statistic of z = -3.36 is obtained when testing the claim that p < 0.31.a. using a significance level of α = 0.01, find the critical value(s). b. should we reject h0 or should we fail to reject h0?

We can reject the null hypothesis. There is significant evidence that p<0.31 at α = 0.01

Step-by-step explanation:

To test the the claim p < 0.31, null and alternative hypotheses are:

: p=0.31

: p<0.31

For α = 0.01, one tailed test critical value is -2.33

For z=-3.36 , p value is ≈ 0.0004

Since p-value<significance level (0.0004<0.01), we can reject the null hypothesis. There is significant evidence that p<0.31 at α = 0.01

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step-by-step explanation:

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %