Previous statistics found 36% of applicants are accepted into this college's master degree program. This year,...
Previous statistics found 36% of applicants are accepted into this college's master degree program. This year, 33% of applicants were accepted based on n = 610 applicants. Perform a hypothesis test to see if the percentage of applicants this year has decreased from the previously known statistic. Assuming α = 5%:
What is the value of the test statistic for this hypothesis test?
What is the p-value for this left tailed hypothesis test?
Assuming α = 5%, what is the conclusion to this hypothesis test?
Assuming α = 10%, what would the conclusion to this hypothesis test be?
Homework Answers
Test statistic,
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.33 - 0.36)/sqrt(0.36*(1-0.36)/610)
z = -1.54
P-value Approach
P-value = 0.0618
As P-value >= 0.05, fail to reject null hypothesis.
As P-value < 0.1, reject null hypothesis.
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Previous statistics found 36% of applicants are accepted into
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