Question

calculate

PART A: Test the claim that the proportion of men who own cats is significantly different than 30% at the 0.05 significance level.

  Based on a sample of 30 people, 26% owned cats

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

The positive critical value is: ???? (to 2 decimals)

PART B: You wish to test the following claim (H1H1) at a significance level of α=0.005α=0.005.

      Ho:μ=56.1Ho:μ=56.1
      H1:μ<56.1H1:μ<56.1

You believe the population is normally distributed and you know the standard deviation is σ=20.1σ=20.1. You obtain a sample mean of M=49.4M=49.4 for a sample of size n=44n=44.

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

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

PART C: You wish to test the following claim (H1H1) at a significance level of α=0.05α=0.05.

      Ho:μ=68.6Ho:μ=68.6
      H1:μ>68.6H1:μ>68.6

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=23n=23 with a mean of M=80.1M=80.1 and a standard deviation of SD=13.5SD=13.5.

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

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

Answer 1

A)

The null and alternate hypothesis are:

H0:

Ha:

The test statistic value is given by:

The positive critical value is given by:

B)

The test statistic value is given by:

Since this is a left-tailed test, the critical value is given by:

C)

The test statistic value is given by:

Since this is a right-tailed test, the critical value is given by: