Is there evidence of a negative correlation between blood pressure and heart rat
ID: 2926147 • Letter: I
Question
Is there evidence of a negative correlation between blood pressure and heart rate? In a sample of 200 patients, we found a sample correlation of -0.057.
State the hypotheses of interest.
What is the notation and value of the sample statistic?
Use StatKey to generate a randomization distribution for these hypotheses. Use the data set ‘ICU Admissions’ available on StatKey.
What is the p-value?
Which two of the options below are correct interpretations of the p-value (insert your calculated p-value from (3) in the blank):
If there is no association between blood pressure and heart rate in the population, the chance of seeing a sample correlation of -0.057 or less is _______________.
If there is a negative association between blood pressure and heart rate, the chance of seeing a sample correlation of -0.057 or less is _____________.
If there is no association between blood pressure and heart rate in the population, the proportion of samples with a sample correlation of -0.057 or less is _______________.
If there is a negative association between blood pressure and heart rate, the proportion of samples with a sample correlation of -0.057 or less is _______________.
What is the formal conclusion at a significance level of 0.05?
What is the conclusion in context?
Based on the p-value you calculated in part 3, what would the correct formal conclusion be if we were testing a two-sided hypothesis with the same sample?
AReject H0 and accept Ha
BReject Ha and accept H0
CFail to reject H0
DFail to reject Ha
Explanation / Answer
State the hypotheses of interest.
The hypothesis of interest is
that there is a negative correlation between blood pressure and heart rate
What is the notation and value of the sample statistic?
the value is -0.057
The negative sign indicates that the 2 variables are negatively correlated , when one increases the other decreases
c) from the correlation table , we check n = 200 and r = -0.057 , The P-Value is 0.4227
If there is no association between blood pressure and heart rate in the population, the chance of seeing a sample correlation of -0.057 or less is 0.4227
If there is no association between blood pressure and heart rate in the population, the proportion of samples with a sample correlation of -0.057 or less is 0.4227
.
d) as the p value is not less than 0.05 , hence we fail to reject the null hypothesis H0, C
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