Members of the city council want to know if a majority of city residents supports a 1% increase in the sales tax to fund road repairs. To investigate, they survey a random sample of 300 city residents and use the results to test the following hypotheses:H0:p=0.50Ha:p>0.50whe re p is the proportion of all city residents who support a 1% increase in the sales tax to fund road repairs. A Type I error in the context of this study occurs if the city council (a) finds convincing evidence that a majority of residents supports the tax increase, when in reality there isn't convincing evidence that a majority supports the increase. (b) finds convincing evidence that a majority of residents supports the tax increase, when in reality at most 50% of city residents support the increase. (c) finds convincing evidence that a majority of residents supports the tax increase, when in reality more than 50% of city residents do support the increase. (d) does not find convincing evidence that a majority of residents supports the tax increase, when in reality more than 50% of city residents do support the increase. (e) does not find convincing evidence that a majority of residents supports the tax increase, when in reality at most 50% of city residents do support the increase.