stat the conclusion to significance test in terms of the null hypothesis?

Aaron W

New member
A journal article reports that 34% of American fathers take no responsibility for child care. A researcher claims that the figure is higher for fathers in a particular town. A random sample of 233 fathers from this town yielded 96 who did not help with child care. Do the data provide sufficient evidence to conclude that in this town the proportion is higher than 0.34? Use a 0.05 significance level.
H0: p = 0.34Ha: p > 0.34.
α = 0.05 Test statistic: z = 2.32. P-Value = 0.0102 State your conclusion in terms of the H0.
A) Since the P-value < 0.34, we can conclude that the proportion of fathers who take no responsibility for childcare is higher than 34% in this town.
B) Since the P-value < α, we can conclude that the proportion of fathers who take no responsibility for childcare is higher than 34% in this town.
C) Since the P-value < α, we are unable to conclude that the proportion of fathers who take no responsibility for childcare is higher than 34% in this town.
D) Since the P-value < 0.34, we are unable to conclude that the proportion of fathers who take no responsibility for childcare is higher than 34% in this town.
E) Since the P-value < α, we can conclude that the proportion of fathers who take no responsibility for childcare is 41%.
 
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