Question

20) The business college computing center wants to determine the proportion of business students who have

personal computers (PC's) at home. If the proportion differs from 25%, then the lab will modify a proposed
enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is 2.4. Find the P-value
for a two-tailed test of hypothesis.
A) 0.4918
B) 0.0164
C) 0.0082
D) 0.4836

Answer 1

The P-value for a two-tailed test of hypothesis is option B) 0.0164

Explanation:

Given:

test statistic is 2.4

If the proportion differs from 25%, then the lab will modify a proposed enlargement of its facilities

To Find:

P-value for a two-tailed test of hypothesis.

Solution:

`H_0` : P = 0.25

`H_1` : P \\eq 0.25

P value

=>P = 2[1- \si(2.4)]

=>P = 2[1- (0.5+P(0<Z<2.4))]

=>P = 2[ 0.5 - 0.4918]

=> P =0.0164