Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). The test statistic in a two-tailed test is z = -1.63.

a. 0.1031; fail to reject the null hypothesis
b. 0.0516; reject the null hypothesis
c. 0.9484; fail to reject the null hypothesis
d. 0.0516; fail to reject the null hypothesis

a. 0.1031; fail to reject the null hypothesis

Step-by-step explanation:

Given: Significance level :

The test statistic in a two-tailed test is z = -1.63.

The P-value for two-tailed test : [By p-value table]

Since, 0.1031 > 0.05

i.e. p-value >

So, we fail to reject the null hypothesis. [When p< then we reject null hypothesis  ]

So, the correct option is a. 0.1031; fail to reject the null hypothesis.

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)