9. A company commissioned a polling organization to survey the percentage of residents in locations A and B who have heard of a certain product (hereinafter referred to as ``awareness''). The results are as follows: At a 95\% confidence level, the confidence intervals for the product's awareness in locations A and B are $[0.50, 0.58]$ and $[0.08, 0.16]$ respectively. Which of the following options are correct? (1) In location A, 54\% of the survey respondents have heard of the product (2) The number of survey respondents in location B was less than in location A (3) The survey results can be interpreted as: the probability that more than half of all residents in location A have heard of the product is greater than 95\% (4) If multiple surveys are conducted in location B using the same method, the awareness has a 95\% chance of falling in the interval $[0.08, 0.16]$ (5) After intensive advertising, a follow-up survey is conducted in location B with the number of respondents increased to four times the original number. Then at a 95\% confidence level, the width of the confidence interval for the product's awareness will be reduced by half (i.e., 0.04)
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9. A company commissioned a polling organization to survey the percentage of residents in locations A and B who have heard of a certain product (hereinafter referred to as ``awareness''). The results are as follows: At a 95\% confidence level, the confidence intervals for the product's awareness in locations A and B are $[0.50, 0.58]$ and $[0.08, 0.16]$ respectively. Which of the following options are correct?\\
(1) In location A, 54\% of the survey respondents have heard of the product\\
(2) The number of survey respondents in location B was less than in location A\\
(3) The survey results can be interpreted as: the probability that more than half of all residents in location A have heard of the product is greater than 95\%\\
(4) If multiple surveys are conducted in location B using the same method, the awareness has a 95\% chance of falling in the interval $[0.08, 0.16]$\\
(5) After intensive advertising, a follow-up survey is conducted in location B with the number of respondents increased to four times the original number. Then at a 95\% confidence level, the width of the confidence interval for the product's awareness will be reduced by half (i.e., 0.04)