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In: Statistics and Probability

1. You wish to test the following claim (Ha) at a significance level of α=0.10.       Ho:μ=53.2...

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

      Ho:μ=53.2
      Ha: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=33 with a mean of M=48.9 and a standard deviation of SD=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 =

2) 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)

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