A statistics professor claims that the average score on the Final Exam was 83. A group of students believes that the average grade was lower than that. They wish to test the professor's claim at the  α=0.05α=0.05 level of significance. (Round your results to three decimal places) Which would be correct hypotheses for this test? H0:μ=83H0:μ=83, H1:μ<83H1:μ<83 H0:μ=83H0:μ=83, H1:μ≠83H1:μ≠83 H0:μ=83H0:μ=83, H1:μ>83H1:μ>83 H0:μ≠83H0:μ≠83, H1:μ=83H1:μ=83 H0:μ<83H0:μ<83, H1:μ=83H1:μ=83 A random sample of statistics students had the Final Exam scores shown below. Assuming that the test scores are normally distributed, use this sample to find the test statistic: Final Exam scores 70 86 82 70 68 91 79 97 66 68 51 66 91 100 75 70 test statistic (give 2 decimal places): Give the P-value (give 4 decimal places):

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.