A child dying from an accidental poisoning is a terrible incident. Is

Weltideepq

Weltideepq

Answered question

2021-12-04

A child dying from an accidental poisoning is a terrible incident. Is it more likely that male child get into poison than a female child? To find this out, data was collected that showed that out of 1830 children between the ager and four who pass from poisoning, 1031 were males and 799 were females. Do the data show that there are more male children dying of poisoning than female children,Test at the 1% level?

Answer & Explanation

Kevin Hunt

Kevin Hunt

Beginner2021-12-05Added 20 answers

Step 1
From the provided information,
Sample size (n)=1830
Male (x)=1031
Level of significance (α)=0.01
Step 2
The hypotheses can be constructed as:
H0:p=0.5
H1:p>0.5
Sample proportion (p)=10311830=0.5634
Step 3
The value of the test statistic can be obtained as:
z=ppp(1p)n
=0.56340.50.5(10.5)1830
=5.4243
Thus, the test statistic is 5.4243.
Step 4
The p value of the test statistic from the standard normal table is 0.00001 which is less than level of significance, therefore, the null hypothesis would reject and it can be concluded that there is sufficient evidence to support the claim there are more male children dying of poisoning than female children.

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