To investigate the prevalence rate of Hypertension of a cert

To investigate the prevalence rate of Hypertension of a certain population, we drew a random sample of 65 people from that population and among them 12 people had hypertension. For the following hypotheses, what would be your conclusion based on the information provided? The level of significance (alpha level) is 0.05. (Hint: Depending on the direction of the alternative test, use 1.65 or -1.65 as the critical z-value)

Ho: P = 0.25 (Null)
Ha: P < 0.25 (Alternative)

Reject the null hypothesis.

Fail to reject the null hypothesis

Cannot conclude due to the sample size and the population proportion not meeting the requirement needed for applying Central Limit Theorem.

Cannot conclude due to lack of information.

Solution

Test of p = 0.25 vs p < 0.25

95% Upper Exact
Sample X N Sample p Bound P-Value
1 12 65 0.184615 0.281889 0.140

as p-value > 0.05

we are

Fail to reject the null hypothesis