Question

1. A researcher is interested in exploring whether consuming beets everyday decreases the reading of BP (systolic) among elderly patients. The mean systolic reading of the population is 130 and standard deviation 21. The researcher sampled 20 participants who consumed beets everyday and measured their BP. The mean of this sample systolic was 100. Using the steps of hypothesis testing to test whether consuming beets decreases the systolic reading.

Answer 1

= 130,  =21, n=20 , = 100, = 0.05

a)

Ho: = 130

Ha: < 130

formula for Z-score is

z = -6.3888

test statistics = -6.39

Calculate the z critical value for left tailed test with = 0.05

We get z critical value as

Critical value = -1.645

now calculate P-Value

P-value = P(z < -6.39)

find P(z < -6.39)using normal z table we get

P(z < -6.39) = 0

P-Value= 0

since (P-Value = 0) < ( = 0.05)

Null hypothesis is rejected.

Conclusion:

Therefore there is sufficient evidence to support the claim that the consuming beets decreases the systolic reading.