Question

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:

a. There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.
b. There is NOT sufficient evidence to conclude that the proportion of agenda-less meetings isgreater than 45%.
c. There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 55%.
d. There is NOT sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 55%.

Answer 1

Option A is correct

Explanation:

From the question we are told that

The Null Hypothesis is
`H_o : p = 0.45`

The alternative hypothesis
`H_a : p > 0.45`

The level of significance is
`\alpha = 0.05`

The p-value is
`p-value = 0.025`

Now looking at the given data we see that the the p-value is less than
`\alpha`

Generally when this occurs in a hypothesis test we reject the null hypothesis which mean that the result which we obtain is statistically significant.

Hence the alternative hypothesis is correct, which means that,

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