Question

You wish to test the following claim a significance level of α=0.005.

Ho:p=0.71

Ha:p≠0.71

You obtain a sample of size n=164 in which there are 111 successful observations.

- What is the test statistic for this sample?

test statistic = Round to 3 decimal places. - What is the p-value for this sample?

P-value = Use Technology Round to 4 decimal places. - The p-value is...
- less than (or equal to) αα
- greater than αα

- This test statistic leads to a decision to...
- reject the null
- accept the null
- fail to reject the null

- As such, the final conclusion is that...
- There is sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.71.
- There is not sufficient evidence to warrant rejection of the claim that the population proportion is not equal to 0.71.
- The sample data support the claim that the population proportion is not equal to 0.71.
- There is not sufficient sample evidence to support the claim that the population proportion is not equal to 0.71.

Answer #1

Ho:p=0.71

Ha:p≠0.71

Sample size , n=164

x = 111

= 111/ 164 = 0.6768

**(a) Test statistics, z=
=
= -0.947**

**(b) P-Value =** 2 [ P( z > 0.95) ] = 2 [ 1- P(
z< 0.95)] = 2 [ 1- 0.82894] = **0.3421**

**greater than α **

(c)This test statistic leads to a decision to..-

**Fail to reject the null hypothesis.**

**(d)** The final conclusion is-

** There is sufficient evidence to warrant
rejection of the claim that the population proportion is not equal
to 0.71.**

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