A hypothesis test is done in which the alternative hypothesis is that more than 10% of a population is
left-handed. The p-value for the test is calculated to be 0.25.

If α=.05 which of the following statements is correct? Choose one.

(a) We cannot conclude that more than 10% of the population is left-handed
(b) We can conclude that exactly 25% of the population is left-handed
(c) We can conclude that more than 25% of the population is left-handed
(d) We can conclude that more than 10% of the population is left-handed

Option (a) We cannot conclude that more than 10% of the population is left-handed.

Step-by-step explanation:

We are given the following in the question:

Proportion of population that is left handed = 10% = 0.10

Significance level, α = 0.05

First, we design the null and the alternate hypothesis  

The null hypothesis sates that 10% of population is left handed and the alternate hypothesis state that more than 10% of the population is left handed.

This is a one tailed test.

The computed p-value is

P-value = 0.25

Comparison:

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Thus, we conclude that 10% of the population is left handed.

Thus, the correct answer is

Option (a) We cannot conclude that more than 10% of the population is left-handed.

step-by-step explanation:

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