Question

Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis).

With
`H_(1)` : p<3/5, the test statistic is z = -1.68

A. 0.093; fail to reject the null hypothesis
B. 0.0465; fail to reject the null hypothesis
C. 0.0465; reject the null hypothesis
D. 0.9535; fail to reject the null hypothesis

Answer 1

The correct answer is C. 0.0465; reject the null hypothesis. The P-value is the probability of observing a test statistic at least as extreme as the one we observed, given that the null hypothesis is true. Since 0.0465 is less than 0.05 (the significance level), it indicates that the data are statistically significant, meaning that we can reject the null hypothesis.