Question

Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Upper H 0 : p equals 0.62 versus Upper H 1 : p less than 0.62 n equals 150 comma x equals 81 comma alpha equals 0.01 Is np 0 left parenthesis 1 minus p 0 right parenthesis greater than or equals 10? No Yes Your answer is correct. Use technology to find the P-value. P-value= nothing (Round to three decimal places as needed.)

Answer #1

Solution :

This is the less tailed test .

The null and alternative hypothesis is

H_{0} : p = 0.62

H_{a} : p < 0.62

= x / n = 81 / 150 = 0.54

P_{0} = 0.62

1 - P_{0} = 0.38

np 0 left parenthesis 1 minus p 0 right parenthesis greater than or equals 10 .

**Yes**

Test statistic = z

=
- P_{0} / [P_{0
*} (1 - P_{0} ) / n]

= 0.54 - 0.62 / [(0.62 * 0.38) / 150]

= -2.02

P(z < -2.02) = 0.0217

**P-value = 0.0217**

= 0.01

P-value >

Fail to reject the null hypothesis .

Test the hypothesis using the P-value approach. Be sure to
verify the requirements of the test.
Upper H 0 : p equals 0.61 versus Upper H 1 : p less than 0.61H0:
p=0.61 versus H1: p<0.61
n equals 150 comma x equals 84 comma alpha equals 0.01n=150,
x=84, α=0.01
Is
np 0 left parenthesis 1 minus p 0 right parenthesis greater than
or equals 10np01−p0≥10?
No
Yes
Use technology to find the P-value.
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(Round to three decimal places as...

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Select the correct choice below and fill in the answer box to
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verify the requirements of the test.
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