Question

Recall that a conflict of interest scenario was presented to a sample of 200 marketing researchers and that 109 of these researchers disapproved of the actions taken.

(a) Let p be the proportion of all marketing researchers who disapprove of the actions taken in the conflict of interest scenario. Set up the null and alternative hypotheses needed to attempt to provide evidence supporting the claim that a majority (more than 50 percent) of all marketing researchers disapprove of the actions taken. H0: p ≤ versus Ha: p > .

(b) Assuming that the sample of 200 marketing researchers has been randomly selected, use critical values and the previously given sample information to test the hypotheses you set up in part a at the .10, .05, .01, and .001 levels of significance. How much evidence is there that a majority of all marketing researchers disapprove of the actions taken? (Round Picture to 4 decimal places for calculations and z value to 2 decimal places.)

Picture =

z =

z.10 = 1.28

Reject H0 at α = (Click to select).1 and .05no values.1, .05 and .01.1.1, .05, .01 and .001. (Click to select)Extremely strong, Insufficient, Very strong, Strong evidence.

(c) Suppose a random sample of 1,000 marketing researchers reveals that 545 of the researchers disapprove of the actions taken in the conflict of interest scenario. Use critical values to determine how much evidence there is that a majority of all marketing researchers disapprove of the actions taken. (Round Picture to 4 decimal places for calculations and z value to 2 decimal places.)

Picture =

z =

z.001 = 3.09

Reject H0 at α = (Click to select)0.1, 0.05, and 0.010.1, 0.05, .01 and 0.001.01 and .001.0005no values , (Click to select)Weak, Strong, extremely very strong, very strong, No evidence.

(d) Note that in parts b and c the sample proportion Picture is (essentially) the same. Explain why the results of the hypothesis tests in parts b and c differ. Picture = .5450 based on a much larger sample provides (Click to select)stronger, weaker, no difference in evidence that p is greater than .50.

Answer 1