Naomi works at a doctor's office. She surveyed a random sample of 100 patients and found that 70% of the patients surveyed take a daily vitamin. Naomi wanted to know if it is plausible that 75% of the entire population of the doctor's patients take a daily vitamin. Naomi performed 360 trials of a simulation. Each trial simulated a sample of 100 patients under the assumption that 75% of the population takes a daily vitamin. The dot plot shows the results of the simulations.

What is the best conclusion for Naomi to make based on the data?

It is not plausible that 75% of the population takes a daily vitamin because the data shows that a sample proportion of 70% is unlikely.

It is plausible that 75% of the population takes a daily vitamin because the data shows that a sample proportion of 70% is fairly likely.

It is not plausible that 75% of the population takes a daily vitamin because the data shows that a sample proportion of 70% is fairly likely.

It is plausible that 75% of the population takes a daily vitamin because the data shows that a sample proportion of 70% is unlikely.
Line plot from 0.60 to 0.88 showing the following values that appear as dot marks above the line in increments of 0.01. Two dot mark above 0.60. Three dot marks above 0.63. Two dot marks above 0.64. Two dot marks above 0.65. Seven dot marks above 0.67. Seven dot marks above 0.68. Seventeen dot marks above 0.69. Twenty-one dot marks above 0.70. Twenty-three dot marks above 0.71. Twenty dot marks above 0.72. Twenty-six dot marks above 0.73. Forty dot marks above 0.74. Twenty-nine dot marks above 0.75. Thirty-four dot marks above 0.76. Twenty-five dot marks above 0.77. Thirty-two dot marks above 0.78. Twenty-four dot marks above 0.79. Thirteen dot marks above 0.80. Fifteen dot marks above 0.81. Six dot marks above 0.82. Five dot marks above 0.83. Four dot marks above 0.85. One dot mark above 0.86. One dot mark above 0.87. One dot mark above 0.88.