Question

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

Based on a sample of 50 people, 29% owned cats

The test statistic is: ____(to 2 decimals)

The critical value is: ____ (to 2 decimals)

Test the claim that the proportion of people who own cats is larger than 50% at the 0.10 significance level.

Based on a sample of 500 people, 51% owned cats

The p-value is: ____(to 2 decimals)

Test the claim that the proportion of people who own cats is larger than 50% at the 0.01 significance level.

Based on a sample of 700 people, 58% owned cats

The test statistic is: ____ (to 2 decimals)

Answer 1

Question 1)  

Z test statistic formula for proportion

The critical value is: 1.64 (by using Z table for right tailed alternative hypothesis)

Question 2)

Z test statistic formula for proportion

P value is =0.33...............by using Z table or by using Excel command 1-NORMSDIST(0.45)

Question 3)

Z test statistic formula for proportion