Question

A humane society claims that less than 60% of households in a certain country own a pet. In a random sample of 800 households in tha country, 464 say they own a pet. At α=005, is there enough evidence to support the society's claim? Complete parts (a) through (c) be (a) Identify the claim and state Ho and H3 ldentify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice Type an integer or a decimal. Do not round.) % of households in the country own a pet. O B. The percentage households in the country that own a pet is not 96 C. More than | | % of households in the country own a pet. D. Less than 96 of households in the country own a pet. Let p be the population proportion of successes, where a success is a household in the country that owns a pet. State Ho and Ha Sele the correct choice below and fill in the answer boxes to complete your choice. Round to two decimal places as needed.) B. Ha: pa E. (b) Use technology to find the P-value. ldentify the standardized test statistic. Round to two decimal places as needed.) ldentify the P-value. Round to three decimal places as needed.)

Answer 1

Answer:

a).

D. less than 60% of households in the country own a pet.

b).

F). Ho: P≥0.6, H₁: P<0.6

Z = -1.15

P=0.124

c).

do not reject the null hypothesis. There is not enough evidence to support the society,s claim.

Z Test of Hypothesis for the Proportion
Data
Null Hypothesis            p =	0.6
Level of Significance	0.05
Number of Items of Interest	464
Sample Size	800
Intermediate Calculations
Sample Proportion	0.58
Standard Error	0.0173
Z Test Statistic	-1.1547
Lower-Tail Test
Lower Critical Value	-1.645
p-Value	0.1241
Do not reject the null hypothesis