According to one source, 51% of plane crashes are due at least in part to pilot error. Suppose that in a random sample of 100 separate airplane accidents, 66 of them were due at least in part to pilot error. Complete parts (a) and (b) below. a. Test the hypothesis that the proportion of airplane accidents due to pilot error is not 0.51. Use a significance level of 0.05. Determine the null and alternative hypotheses. Ho: P Ha: P (Type integers or decimals. Do not round.) Determine the test statistic. 2=0 Z= (Round to two decimal places as needed.) Determine the p-value. p-value= (Round to three decimal places as needed.) What is the proper conclusion? *** Ho. There sufficient evidence to conclude that the population proportion (Type an integer or a decimal. Do not round.) b. Determine the correct interpretation of the rejection decision. The percentage of plane crashes due to pilot error significantly different from 51% because the p-value is the significance level.

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