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s2008m [1.1K]
3 years ago
12

Based on the sample of 500 people, 42% owned cats. Calculate the test statistic. Round to two decimal places.

Mathematics
1 answer:
Tanzania [10]3 years ago
4 0

Answer:

z= 3.63

z for  significance level = 0.05 is ± 1.645

Step-by-step explanation:

Here p = 42% = 0.42

n= 500

We formulate our null and alternative hypotheses as

H0: p= 0.42     against Ha : p> 0.42 One tailed test

From this we can find q which is equal to 1-p= 1-0.42 = 0.58

Taking p`= 0.5

Now using the z  test

z= p`- p/ √p(1-p)/n

Putting the values

z= 0.5- 0.42/ √0.42*0.58/500

z= 0.5- 0.42/ 0.0220

z= 3.63

For one tailed test the value of z for  significance level = 0.05 is ± 1.645

Since the calculated value does not fall in the critical region we reject our null hypothesis  and accept the alternative hypothesis that more than 42%  people owned cats.

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mel-nik [20]

Answer: 500 people

Step-by-step explanation:

Let there are x people in the survey.

According to the question,

People who like football as their favorite sports = 42 % of x = 0.42 x

People who like baseball as their favorite sports = 33 % of x = 0.33 x

People who like soccer as their favorite sports = 25 % of x = 0.25 x

But, 210 people said football was their favorite sport.

⇒ 0.42 x = 210

⇒ 42 x = 21000

⇒ x = 500

Therefore, there are 500 people in the survey.


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