Answer:There is no significant evidence that the proportion of students increased
Solution:
"\\hat{p}=\\frac{42}{100}=0.42"
"p_0=0.35"
Test statistic: "Z=\\frac{\\hat{p}-p_0}{\\sqrt{\\frac{p_0(1-p_0)}{n}}}=\\frac{0.42-0.35}{\\sqrt{\\frac{0.35\u00d70.65}{100}}}=1.468"
Critical value (1-sided, α=0.05): "Z=1.645"
"Z_{test}<Z_{critical}" , therefore there is no significant evidence that the proportion of students increased
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