You wish to test the following claim (Ha) at a significance level of α=0.01. Ho:p1=p2 Ha:p1<p2
You obtain 76.3% successes in a sample of size n1=520 from the first population. You obtain 83.5% successes in a sample of size n2=758 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution. Find the P-Value and Test statistic.
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
Expert Solution
Step 1
Solution:
The null and alternative hypotheses are as follows:
Ho: p1=p2 Ha: p1<p2
Sine the alternative hypothesis contains "less than" (<) sign, it is a left tailed test.
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