The image contains a statistical problem involving hypothesis testing. Here is the transcription and explanation:---**Problem:**A humane society claims that less than 61% of households in a certain country own a pet. In a random sample of 700 households in that country, 399 say they own a pet. At $\alpha = 0.05$, is there enough evidence to support the society's claim?Complete parts (a) through (c) below.(a) Identify the claim and state $H_0$ and $H_a$.Identify 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.)- **A.** The percentage of households in the country that own a pet is not $\underline{\hspace{1cm}}$%.- **B.** Less than $\underline{\hspace{1cm}}$% of households in the country own a pet.- **C.** More than $\underline{\hspace{1cm}}$% of households in the country own a pet.- **D.** $\underline{\hspace{1cm}}$% of households in the country own a pet.Click to select and enter your answer(s) and then click Check Answer.---There are no graphs or diagrams present in the image, only the text describing the statistical testing scenario. The provided sections have space for entering values necessary to complete the hypothesis test.

The hypotheses are given below: Null hypothesis: H0: p=0.61. Alternative hypothesis: H1:p<0.61. Less than 61% of households in the country own a pet. Correct answer is option (B). The sample proportion, p-cap is 0.57(=399/700). A sample of size 700 is considered. Here, the z-test for single proportion is used. Calculation: The test statistic is given and calculated as follows. z=p^-PP1-Pn=0.57-0.610.611-0.61700=-2.17Computation of p-value: The p-value can be obtained by entering the formula “=NORM.S.DIST(-2.17,TRUE)”in EXCEL. The p-value is 0.0150. Decision rule: If p-value ≤ α, then reject the null hypothesis. Otherwise, fail to reject the null hypothesis. Conclusion: The P-value is 0.0150 and the significance level is 0.05. Here, the P-value is less than the significance level. Hence, the null hypothesis is rejected. Thus, there is enough evidence to support the claim that less than 61% of the households in a certain country own a pet.

Math

Statistics

A humane society claims that less than 61% of households in a certain country own a pet. In a random sample of 700 households in that country, 399 say they own a pet. At a= 0.05, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state H, and Ha. Identify 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.) O A. The percentage households in the country' that own a pet is not %. O B. Less than % of households in the country own a pet. O C. More than % of households in the country own a pet. O D. % of hoúseholds in the country own a pet.

A humane society claims that less than 61% of households in a certain country own a pet. In a random sample of 700 households in that country, 399 say they own a pet. At a= 0.05, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state H, and Ha. Identify 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.) O A. The percentage households in the country' that own a pet is not %. O B. Less than % of households in the country own a pet. O C. More than % of households in the country own a pet. O D. % of hoúseholds in the country own a pet.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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