Question

Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test.

Upper H 0H0:

pequals=0.40.4

versus

Upper H 1H1:

pgreater than>0.40.4

nequals=125125;

xequals=6060;

alphaαequals=0.010.01

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Calculate the test statistic,

z 0z0.

z 0z0equals=nothing

(Round to two decimal places as needed.)

Answer #1

**SOLUTION:**

From given data,

Test the hypothesis using the P-value approach.

H_{0} : p = 0.4

H_{1} : p > 0.4

n = 125

x = 60

α =0.01

Sample proportion = x / n

= 60 / 125

= 0.48

**Test statistics**

z_{0} = - p /

= 0.48 - 0.4 /

= 0.08 / 0.0438178

= 1.82 (Round to two decimal places as needed.)

This is test statistics value.

p-value for right tailed test is

p = P( Z > z_{0})

= P( Z > 1.82)

= 1 - P( Z < 1.82)

= 1 - 0.9656

= 0.0344

Since p-value > 0.01 level, we do not have sufficient
evidence to reject H_{0}.

We conclude that,

Do not reject the null hypothesis because p-value is greater than α .

Test the hypothesis using the P-value approach. Be sure to
verify the requirements of the test.
Upper H 0H0:
pequals=0.40.4
versus
Upper H 1H1:
pgreater than>0.40.4
nequals=200200;
xequals=8585;
alphaαequals=0.10.1
Click here to view page 1 of the table.
LOADING...
Click here to view page 2 of the table.
LOADING...
Calculate the test statistic,
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z 0z0equals=nothing
(Round to two decimal places as needed.)

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