Question

he test statistic of zequals1.71 is obtained when testing the claim that pgreater than0.7. a. Identify the hypothesis test as being​ two-tailed, left-tailed, or​ right-tailed. b. Find the​ P-value. c. Using a significance level of alphaequals0.01​, should we reject Upper H 0 or should we fail to reject Upper H 0​?

Answer 1

Answer:

a. The given hypothesis test is ​right-tailed.

b. The P-value is 0.043633.

c. p-value ≥ α, therefore we accept H₀.

Step-by-step explanation:

Given information:

a.

Test statistic, z=1.71

Significance level, α=0.01​

Testing claim is p>0.7.

Null hypothesis: $H_0:p=0.7$

Alternative hypotheses: $H_1:p>0.7$

Therefore the given hypothesis test is ​right-tailed.

b.

Significance level, α=0.01​

Test statistic, z=1.71

The P-value for a right-tailed test, for a significance level of α=0.01 is  0.043633.

Therefore the P-value is 0.043633.

c.

If p-value <  α, then we reject H₀.

If p-value ≥ α, then we accept H₀.

P-value is 0.043633.

α=0.01​

Since p-value ≥ α, therefore we accept H₀.