#### A PHP Error was encountered

Severity: Warning

Message: Undefined array key "userid"

Filename: views/question.php

Line Number: 212

Backtrace:

File: /home/statpmkj/public_html/application/views/question.php

Line: 212

Function: _error_handler

File: /home/statpmkj/public_html/application/controllers/Questions.php

Line: 416

Function: view

File: /home/statpmkj/public_html/index.php

Line: 315

Function: require_once

## For the hypotheses below, test a = 0.025 with n= 100 and p = 0.69. State

For the hypotheses below, test a = 0.025 with n= 100 and p = 0.69. State

a. the decision rule in terms of the critical value of the test statistic.

b. the calculated value of the test statistic.

c. the conclusion

H0: pi >= 0.78

HA:pi < 0>

a. This is a one-tailed test of the population proportion. The decision rule is to reject the null hypothesis if the calculated value of the test statistic, z, is

less than the critical value, z= - 1.96. O

c. Check the requirement for a hypothesis test for a proportion

satisfied.

In this situation, * np = 78* is greater than 5 and

*is*

**n(1-P) = 22***5. Thus, the requirement*

**greater than****satisfied.**

*is**What is the proper conclusion?*

Because the test statistic is* less than* the critical value,

**There is**

*reject Ho.*sufficient evidence to conclude that the population proportion is less than 0.78.