Question
A random sample of single males and single females (ages 21 to 76) was obtained. The sample includes those currently separated, divorced, or widowed. The
A random sample of single males and single females (ages 21 to 76) was obtained. The sample includes those currently separated, divorced, or widowed. The subjects were given a trait and asked to respond whether the trait was a deal-breaker in terms of maintaining the relationship. The results of the survey are provided in the table for the trait "stubborn". Is there a significant difference between males and females who consider the trait "stubborn"
a relationship deal-breaker? Use the =0.05 level of significance.
Part 1: State the null and alternative hypotheses.
H0: pM equals= pF
H1: pM not equals pF
Part 2: Determine the size of each sample.
nM=544
nF=556
(Type integers or decimals. Do not round.)
Part 3: Determine the sample proportion of each gender that considers stubbornness to be a relationship deal-breaker.
pM=. 322
pF=. 342
(Round to three decimal places as needed.
Part 4: Because the data are treated as a simple random sample, nMpM (1pM)=119119 greater than> 10
for the sample of males, nFpF(1pF)=125125 greater than> 10 for the sample of females, and the sample sizes
nM and nF are each less than 5% of the population size, the normal model may be used to test the hypotheses.(Round to the nearest whole number as needed.)
Part 5: Determine the test statistic, subtracting the sample proportion of females from the sample proportion of males.
The test statistic is?
(Round to two decimal places as needed.)
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