Answer:
a)
The proportions of the females and males who took the survey who are annoyed by the behavior in question are<u> 0.3301 </u>and_<u>0.3791 </u>respectively
b)
<em>D) The data come from a Population that is Normally distributed</em>
<em>F) the samples are independent</em>
<em>c) </em>
<em>Null hypothesis: H₀: </em>
<em>Alternative Hypothesis H₁</em>:
Step-by-step explanation:
Given data Among the 530 males surveyed, 175 responded "Yes
The sample proportion of males
The sample proportion of 575 Females surveyed, 218 responded "Yes
a)
The proportions of the females and males who took the survey who are annoyed by the behavior in question are<u> 0.3301 </u>and_<u>0.3791 </u>respectively
b)
<em>The data come from a Population that is normally distributed.</em>
<em>The two samples are independent</em>
c)
<em>Null hypothesis: H₀: </em>
<em>Alternative Hypothesis H₁</em>:
We will use two samples Z - hypothesis test
The test statistic
Z = -1.7043
|Z| = |-1.7043|
The tabulated value Z₀.₉₅ = 1.96
The calculated Z= 1.7043 < 1.96 at 0.05 level of significance
The null hypothesis is accepted
<u><em>Conclusion:-</em></u>
The evidence suggest not a higher proportion of females are annoyed by this behavior