Research Sampling Design Researcher
Hypothesis Testing Help??? Please?
I don’t understand how to do this problem. Any help would be greatly appreciated:
A research psychologist plans to administer a test designed to measure self-confidence to a random samply of fifty professional athletes. The psychologist theorizes that professional athletes tend to be more self-confident than others. Since the national norm of the test is known to be 72, the theory may be partially validated if it can be shown that the mean score for all professional athletes, mew, exceeds 72. Suppose that the sample mean and standard deviation of the fifty scores is 74.1 Does the data support the researchers hypothesis of the psychologist using a significance level of .10 assume a population standard deviation of 13.3
H0: μ = 72
HA: μ > 72
Sample mean = 74.1
Standard deviation = 13.3
Standard error of mean = σ / √ n
Standard error of mean = 13.3 / √ 50
SE = 13.3/7.0711
Standard error of mean 1.8809
z = (xbar- μ ) / SE
z = (74.1-72) / 1.8809
z = 1.1165
The significance level is 0.10
p-value = P( z > 1.1165) =0.1314
Since 0.1314 > 0.10, we retain the null hypothesis (do not reject it).
The data does not support the researchers hypothesis of the psychologist using a significance level of .10.
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