Question

A low white blood cell count, or leukopenia, is a decrease in disease-fighting cells (leukocytes) circulating in your blood. Low white blood cell counts can also indicate the presence of disease. A count lower than 4,000 white blood cells per microliter of blood is generally considered a low white blood cell count. Suppose you are worried about your white blood cell count and have your blood sampled on 10 random days. You use the mean of your samples to test the theory that your average white blood cell count is MORE than 4000 What sort of p-value are you hoping will come from this test.A- A really big p-value so you'll have statistical evidence your white blood cell count is above 4,000.B-A p-value close to 0 so you'll have statistical evidence your white blood cell count is around 4000 on average.C-A really small p-value so that so you'll have statistical evidence your white blood cell count is above 4000 .D-A really small p-value because this means there is a high probability that your white blood cell count is above 4000.E-A p-value close to 1 because this means there is a high probability that your white blood cell count is above 4000.F-Exactly 2 of the above are true.

Answer 1

F-Exactly 2 of the above are true. ( C and D)

Explanation:

The null hypothesis would be

`H_(o)`: average blood cell count is 4,000 white blood cells per micro liter

`H_(a)`: average blood cell count is more than 4,000 white blood cells per micro liter.

1. t-statistic of the sample mean is calculated under the conditions assumed in null hypothesis.
2. Corresponding p value of the t-score need to be small enough (compared in the significance level) to reject the null hypothesis in favor of alternate hypothesis.

Using this information choices C and D are true. Thus,

• A really small p-value so that so you'll have statistical evidence your white blood cell count is above 4000
• A really small p-value because this means there is a high probability that your white blood cell count is above 4000