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uranmaximum [27]
3 years ago
5

In a certain county in​ 2013, it was thought that​ 50% of men 50 years old or older had never been screened for prostate cancer.

Suppose a random sample of 200 of these men shows that 120 of them had never been screened.
a. What is the observed frequency of men who said they had not been​ screened?b. What is the observed proportion of men who said they had not been​ screened?c. What is the expected number in the sample to say they had never been screened if​ 50% is the correct​ rate?
Mathematics
1 answer:
joja [24]3 years ago
8 0

Answer:

120,0.60,100

Step-by-step explanation:

Given that in a certain county in​ 2013, it was thought that​ 50% of men 50 years old or older had never been screened for prostate cancer.

Suppose a random sample of 200 of these men shows that 120 of them had never been screened.

a) the observed frequency = 120

b) The observed proportion of men who said they had not been​ screened

=\frac{120}{200} \\=0.60

c) Expected number in the sample to say they had never been screened if​ 50% is the correct​ rate

= np

= 200*0.50=100

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Step-by-step explanation:

Data given and notation    

\bar X=18.81 represent the average lateral recumbency for the sample    

s=8.4 represent the sample standard deviation    

n=75 sample size    

\mu_o =20 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)    

p_v represent the p value for the test (variable of interest)    

State the null and alternative hypotheses.    

We need to apply a left tailed  test.  

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Alternative hypothesis :\mu < 20  

Compute the test statistic  

The statistic for this case is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)    

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

Calculate the statistic    

We can replace in formula (1) the info given like this:    

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The degrees of freedom are given by:

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Give the appropriate conclusion for the test  

Since is a one side left tailed test the p value would be:    

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