Question

The store known as PetSmart claims that less than thirty five percent of Americans own a dog. Analyzing a sample of four hundred Americans, we found that 122 say they own a dog. At the 4% level of significance is there enough evidence to support PetSmart's claim? (Show all work for credit, do not skip any steps)

(a) The hypothesis structure,

(b) The p-value and if you accept or reject the claim (Round p-value to 4 decimal places)

(c) The conclusion as a verbal statement.

Answer 1

Solution : - * The null and alternative hypothesis aze. = 0.35 Null hypothesis US Hoi p < 0.35 Alternative hypothesis Hoil 122 Here, na 400 x = 122, p 0.305 400 * The test statistic is. 0.305 - 0.35 ZA р-Р P(1-P) 0.35 (-0.35) И 400 -1.89 <Sign in Ha Leff tailed tese, * i p-value P(Z < -1.89) 0.0294 Since, p-value is less than 0.04 alpha * Rejecled the null hypothesis These is enough euidence to claims that the less than 35% of american own a dog.