How to reduce 22/100 to its lowest term
2 answers:
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Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing
Step-by-step explanation:
From the question we are told that
The sample size is n = 16
The population proportion = 0.5
The number that of students that picked out the teachers dog is k = 14
Generally the sample proportion is mathematically represented as
=>
=>
The null hypothesis is
The null hypothesis is
Generally the test statistics is mathematically represented as
Generally the p-value is mathematically represented as
From the z table the probability of Z>3 is mathematically represented as
So
Let assume the level of significance is
Generally from the value obtained we see that Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing