In: Statistics and Probability
1. A simple random sample is conducted of 1426 college students who are seeking bachelor's degrees, and it includes 696 who earned bachelor's degrees within 5 years. Use a 0.10 significance level to test the claim that at least half of college students earn bachelor's degrees within 5 years. Use P-value method and determine conclusion.
a. P-value = 0.816, reject the null hypothesis
b. P-value = 0.816, fail to reject the null hypothesis
c. P-value = 0.368, fail to reject the alternative hypothesis
d. P-value = 0.184, fail to reject the null hypothesis
e. P-value = 0.184, fail to reject the alternative hypothesis
f. P-value = 0.368, fail to reject the alternative hypothesis
2. In hypothesis testing, which of the following statements is generally true?
a. Choice of significance level may directly affect significance of sample data.
b. Choice of significance level may directly affect value of test statistic.
c. Choice of significance level may directly affect statement level of hypotheses.
d. Choice of significance level may directly affect magnitude of P-value.
e. Choice of significance level may directly affect conclusion.
3. Tim claims that a coin is coming up tails less than half of the time. In 110 tosses, the coin comes up tails 47 times. Using P-value, test Tim's claim. Use a 0.10 significance level and determine conclusion.
a. P-val = 0.064, fail to reject the null hypothesis
b. P-val = 0.127, reject the alternative hypothesis
c. P-val = 0.936, reject the alternative hypothesis
d. P-val = 0.064, reject the null hypothesis
e. P-val = 0.936, fail to reject the alternative hypothesis
f. P-val = 0.127, fail to reject the null hypothesis