An advertising agency collected a random sample of 300 businesses targeted with an advertising campaign for a large commercial bank. The sample was used to investigate the efficacy of the advertising campaign. One of the variables measured was whether the business was considering becoming a client of the bank. Of the businesses sampled, 50 of the 300 businesses reported that they were considering becoming a client of the bank. A hypothesis test was conducted to determine if this provides evidence that less than 20% of all businesses were considering becoming a client of the bank. If the researchers had decided to test at a 10% significance level (α = 0.10), would a different decision and conclusion have been reached? Explain your answer in one or two sentences.
An advertising agency collected a random sample of 300 businesses targeted with an advertising campaign for a large commercial bank. The sample was used to investigate the efficacy of the advertising campaign. One of the variables measured was whether the business was considering becoming a client of the bank. Of the businesses sampled, 50 of the 300 businesses reported that they were considering becoming a client of the bank. A hypothesis test was conducted to determine if this provides evidence that less than 20% of all businesses were considering becoming a client of the bank.
If the researchers had decided to test at a 10% significance level (α = 0.10), would a different decision and conclusion have been reached? Explain your answer in one or two sentences.
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