A survey of business and IT executives found that 78% of automotive executives, 70% of financial services executives, 76% of health care executives, 75% of retail & consumer executives, and 77% of technology executives say their CEOs are active champions of using digital technology to achieve strategy. Suppose that the study was based on a sample size of 500 in each group.
(a) At the 0.10 level of significance, is there evidence of a difference among the industries with respect to the proportion of executives that say their CEOS are active champions of using digital technology to achieve strategy?
(b) State the null and altemative hypotheses.
(c) Compute the p-value and interpret its meaning.
The p-value is (Round to three decimal places as needed.)
(d) What does the p-value mean?
A. The p-value is the probability of falsely rejecting the null hypothesis.
B. The p-value is the probability that the null hypothesis is true.
C. The p-value is the probability of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true.
D. The p-value is the probability of rejecting the null hypothesis if the test were repeated for different samples.