(Step-by-Step) Standard Oil of California used a sample survey to determine whether people's attitudes toward Standard's corporate image tended to be favorable


Question: Standard Oil of California used a sample survey to determine whether people's attitudes toward Standard's corporate image tended to be favorable or unfavorable. The results indicated that, for the first time in thirty years, more people

had unfavorable than favorable attitudes. Standard Oil responded by initiating an institutional advertising campaign to help improve its image. Fearful that its corporate image had also suffered in recent years, another large oil company conducted a

similar survey with the following results:

Unfavorable opinions 3760

Favorable opinions 2502

No opinions 920

  1. Do the data support the hypothesis that more than 50 % of the general public hold unfavorable opinions about the company? Test at alpha = 0.01
  2. Construct a 98 % confidence interval for the proportion of individuals with no opinion. Interpret results
  3. What is the point estimate for the proportion with favorable opinions?
  4. Calculate the margin of error for the point estimate you gave in part c)

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