Question

If we find a p-value between 0.30 and 0.40, then do we reject or retain the null hypothesis at the 5% significance level? Retain the null hypothesis Reject the null hypothesis Question 23 1 pts We want to compare cholesterol levels between men and women, so we collect a sample of 20 women and 30 men. The group of men in our sample have a mean of 240.0 with standard deviation 35.0, and the women have a mean of 210.0 with standard deviation 30.0. What is the standard error of the mean difference? O 9.26 O 1.63 O 6.39 O 6.71

Answer 1

Q 22. To reject the null hypothesis using the P-value method, we need the P-value to be less than the significance level. Here the significance level is 0.05 and the P-value is between 0.30 and 0.50 thus we fail to reject the null hypothesis hence the correct option would be :

Retain the Null hypothesis.

Q 23. The standard error for the difference of mean is calculated as:

SE = sqrt [ s²₁ / n₁ + s²₂ / n₂ ]

Where s1, n1 is the standard deviation and sample size of men and s2 and n2 for women.

Thus the Standard error SE is calculated as:

SE = sqrt [ 35² / 30 + 30² / 20 ]

=> SE = 9.26