Asked by Shane Cornfield on Jul 04, 2024
Verified
Two thousand numbers are selected randomly; 960 are even numbers.
a.
State the hypotheses to determine whether the proportion of odd numbers is significantly different from 50%.
b.
Compute the test statistic.
c.
At the .10 level of significance using the p-value approach, test the hypotheses.
P-Value
The probability of observing a test statistic at least as extreme as the one observed, under the assumption that the null hypothesis is true.
Level of Significance
The probability of rejecting the null hypothesis when it is actually true, used as a threshold in hypothesis testing.
Test Statistic
A calculated value from a data sample used to test a hypothesis against some criteria.
- Learn the fundamentals of devising null and alternative hypotheses for a broad range of statistical tests.
- Execute analyses to compute test statistics for various data formats and research strategies.
- Discern the idea of p-value and the pathway to its calculation.
Verified Answer
MM
Marian ManteJul 06, 2024
Final Answer :
a.
H0: p = .5
Ha: p ≠ .5
b.
z = 1.79
c.
p-value = .0734 < .10; reject H0
a.
H0: p = .5
Ha: p ≠ .5
b.
z = 1.79
c.
p-value = .0734 < .10; reject H0
Learning Objectives
- Learn the fundamentals of devising null and alternative hypotheses for a broad range of statistical tests.
- Execute analyses to compute test statistics for various data formats and research strategies.
- Discern the idea of p-value and the pathway to its calculation.