Question: According to a study conducted by a major computer company, 62% of men and 69% of women say that weight is a very important factor when purchasing a laptop computer. The study included 275 men and 295 women. Do these data show enough evidence to declare that a significantly higher proportion of women than men believe that weight is a very important factor when purchasing a laptop computer?
(a) State the research question (or claim).
(b) State the hypotheses.
(c) Calculate the pooled (sample) proportion.
(d) Calculate the standard deviation (standard error, SE) for the difference between the two proportions.
(e) Determine the critical values.
(f) Calculate the test statistic, and state your decision regarding the null hypothesis.
(g) Calculate the p-value.
(h) Answer the research question, and assess the strength of your conclusion using the p-value. If there is a significant difference, who is more likely to support this law?
(i) Calculate a 95% confidence interval for the difference between the two corresponding population proportions.
(j) How does the result in (i) relate to your conclusion(s) in part (h)?