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.

Plz i need a complete and clear answer

Answer 1

Here claim is that consuming beets decreases the systolic reading which means , as null hypothesis always have equality sign, so hypothesis is vs

As population standard deviation is known, we will use z statistics

As alternative hypothesis is having less than sign, it is left tailed test

So P value is

As P value is 0<any value of alpha we will reject the null hypothesis

Hence we have sufficient evidence to support the claim that consuming beets decreases the systolic reading.