Subject: Mathematics / Statistics
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Get Help Now!Due April 13 In a prior survey of 150 toothpaste users, only 18% of the respondents reported that they might buy
Crest toothpaste. Naturally, the board of directors for Procter & Gamble wants a higher market share.
Thus, the marketing director suggested that the company invest in a new marketing campaign that
includes advertisements and new labeling for the toothpaste. The research department then conducted
product trials in test markets for one month to determine if the market share increases as a result of the
new marketing campaign. In this one-month trial, 25% of the 132 participants indicated that they might
buy Crest toothpaste.
1. Conduct a statistical test to assess whether the new marketing campaign is effective.
a. Write the company’s null and alternative hypotheses.
b. Evaluate the conditions of the statistical test, assuming that the participants in both
samples were randomly selected.
c. Carry out the statistical test, with ?=0.05. Show your work and round all calculations to
the nearest thousandths (i.e., retain three digits to the right of the decimal point).
d. State your conclusion.
2. In this research context, describe both Type I and Type II errors and the impact each type of
error would have on the company.
3. Describe to the board of directors an advantage and a disadvantage of increasing the alpha level.
4. The board of directors asked the research department to extend the trial period so that the
decision can be based on a larger sample size. Is it more likely for the P-value to increase,
decrease, or remain the same? Explain.
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