Question

Using the information above regarding the proportion of agenda-less meetings, choose the correct conclusion for this hypothesis test.

H0:p=0.45 ; Ha:p>0.45
The p-value for this hypothesis test is 0.025.
The level of significance is α=0.05
Select the correct answer below:


There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.


There is NOT sufficient evidence to conclude that the proportion of agenda-less meetings isgreater than 45%.


There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 55%.


There is NOT sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 55%.

Answer 1

Answer: There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.

Explanation:

Given:
`H_0:p=0.45 \\ H_a:p>0.45`

The p-value for this hypothesis test is 0.025.

The level of significance is α=0.05

As p-value< α ∵0.025< 0.05

[if p-value< α , we reject
`H_0`]

then, we reject the null hypothesis.

i.e. We have sufficient evidence to support the alternative hypothesis.

Hence, the correct statement is : There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.