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## 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.