Question

1. Test the claim that the proportion of men who own cats is smaller than 20% at the .05 significance level.

Based on a sample of 45 people, 12% owned cats

a) The test statistic is:  (to 2 decimals)

b) The critical value is:  (to 2 decimals)

2. Test the claim that the proportion of people who own cats is smaller than 80% at the 0.005 significance level.

Based on a sample of 200 people, 79% owned cats

a) The test statistic is:  (to 2 decimals)

b)The p-value is:  (to 2 decimals)

3. You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.

      Ho:μ=53.2Ho:μ=53.2
      Ha:μ<53.2Ha:μ<53.2

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=33n=33 with a mean of M=48.9M=48.9 and a standard deviation of SD=7.4SD=7.4.

a) What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value =

b) What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =

Answer 1

1)We have to test

The estimated proportion is . The sample size is

The test statistic is

The critical value is .

2)We have to test

The estimated proportion is . The sample size is .

The test statistic is

The P-value of the test is

Since , we fail to reject the null hypothesis.

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