A book publisher wants to know if there is a relationship between gender and book-type preferences in recreational readers. Recreational readers in a simple random sample were asked if they prefer reading mysteries, romance novels, or self-help books. The following table lists the resulting number of respondents, by gender and book type. Use these results for parts (a) through (d). SHOW WORK.
Mystery Romance Self-help Row Totals
Male 243 201 191 635
Female 135 149 202 486
Column Totals 378 350 393 112
(a) Rounded to the nearest whole number, how many males would prefer reading self-help books if there is no relationship between gender and reading preference? SHOW WORK A) 111 B) 191 C) 223 D) 620
(b) Rounded to the nearest whole number, the expected number of females who prefer romance is 152. What is their contribution to the chi-square test statistic? SHOW WORK A) 9 B) 3 C) 0.06 D) 0.02
(c) Suppose the chi-square value for this test was 7.43, using the appropriate table, what is the corresponding p-value? A) .25
(d) If the p-value for this test is significant we conclude: A) There is no evidence for a relationship between gender and reading preference. B) There is evidence for a relationship between gender and reading preference. C) There is no evidence gender determines reading preference. D) There is evidence gender determines reading preference.