Ophelia O’Brien, Director of Consumer Credit with Auckland First Bank (AFB), monitors the default rate on personal loans at AFB member banks. One of her standards is ‘no more than 5% of personal loans should be in default’. Each Friday, the default rate is calculated for a sample of 500 personal loans. Last Friday’s sample contained 30 defaulted loans. Using \alpha = 0.10, the observed z-value is _______.
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