A firm's corporate strategy is driven largely by its top management team. One method of gauging the influence of marketing on corporate strategy is to measure the proportion of firms with a chief marketing officer on their top management team. Over the 5-year period from 2000 to 2004, 42% of firms had a chief marketing officer on their top management team. [Source: Pravin Nath and Vijay Mahajan, "Chief Marketing Officers: A Study of Their Presence in Firms' Top Management Teams," Journal of Marketing, 70 (2007).]

To test the hypothesis that the influence of marketing on corporate strategy today is different from its influence in the 2000-2004 period, a random sample of 91 U.S. firms is selected. Of these, 26 firms have a chief marketing officer on their top management team. The test is conducted at a significance level of = 0.01.

A Let p be the true proportion of firms with a chief marketing officer currently on their top management team. To conduct the hypothesis test, the null and alternative hypotheses are formulated as:

a H00: p 0.42; H11: p > 0.42

b H0:p0:p= 0.42; H1:p1:p 0.42

c H00: p = 0.42; H11: p 0.42

d H00: p 0.42; H11: p < 0.42

B If the null hypothesis is true, the sampling distribution of the sample proportion PP^can be approximated by a a binominal distribution b normal distribution c, t- distribution with 91 degrees of freedom d, t- distribution with 90 degrees of freedom with a mean a 26 b 0.2857 c 0.42 s that is unknown and a standard deviation of .

The test statistic is a z= 26 b z=-26 c, z=-2.6 d, t= -2.6 e, z= 2.6 .

C Use the Distributions tool to develop the rejection region. According to the rejection region method (with = 0.01), when do you reject the null hypothesis?

a Reject H00if z -2.326 or if z 2.326

b Reject H00if z -2.576 or if z 2.576

c Reject H00if t -2.632 or if t 2.632

d Reject H00if z -2.576

Use the provided Distributions tool to determine the p-value. The p-value is a,0.0047 b 0.0094 c 0.0109 d 0.0054

DUsing the rejection region method, the null hypothesis is a rejected b not rejected , because a 0.0047<0.01 b -2.6<-2.576c 2.6 < 2.326 d 0.0094<0.01 . Using the p-value approach, the null hypothesis is a rejected b not rejected , because 0.0047 < 0.01 b 0.0094< 0.01 c 0.0109<0.01 d 0.0047 <2.576 . Therefore, you a, can b cannot infer that the influence of mar keting on corporate strategy today is different from its influence in the 2000-2004 period.