According to a study, a random sample of 8,900 adults taken in 1976 found that 6% believed in reincarnation. A poll of 1,000 adults in 1997 found that 27% believed in reincarnation. Test the hypothesis that the proportion of adults believing in reincarnation in 1997 was higher than the proportion in 1976. (Let population 1 be individuals in 1997 and population 2 be individuals in 1976. Use ? = 0.05.) Write the null and alternative hypotheses using the appropriate notation. (Use 1997 − 1976. Enter != for ≠ as needed.) H0: Ha: Find the test statistic for this situation. (Round your answer to two decimal places.) Use technology to find the p-value. (Round your answer to four decimal places.) p-value = Make a reasonable conclusion based on the p-value. Fail to reject H0. This means that there is insufficient evidence to conclude that the proportion of adults believing in reincarnation in 1997 was higher than the proportion in 1976. Fail to reject H0. This means that there is sufficient evidence to conclude that the proportion of adults believing in reincarnation in 1997 was higher than the proportion in 1976. Reject H0. This means that there is insufficient evidence to conclude that the proportion of adults believing in reincarnation in 1997 was higher than the proportion in 1976. Reject H0. This means that there is sufficient evidence to conclude that the proportion of adults believing in reincarnation in 1997 was higher than the proportion in 1976.

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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According to a study, a random sample of 8,900 adults taken in 1976 found that 6% believed in reincarnation. A poll of 1,000 adults in 1997 found that 27% believed in reincarnation. Test the hypothesis that the proportion of adults believing in reincarnation in 1997 was higher than the proportion in 1976. (Let population 1 be individuals in 1997 and population 2 be individuals in 1976. Use ? = 0.05.)

Write the null and alternative hypotheses using the appropriate notation. (Use 1997 − 1976. Enter != for ≠ as needed.)

H₀:

H_a:

Find the test statistic for this situation. (Round your answer to two decimal places.)

Use technology to find the p-value. (Round your answer to four decimal places.)

p-value =

Make a reasonable conclusion based on the p-value.

Fail to reject H₀. This means that there is insufficient evidence to conclude that the proportion of adults believing in reincarnation in 1997 was higher than the proportion in 1976.

Fail to reject H₀. This means that there is sufficient evidence to conclude that the proportion of adults believing in reincarnation in 1997 was higher than the proportion in 1976. Reject H₀. This means that there is insufficient evidence to conclude that the proportion of adults believing in reincarnation in 1997 was higher than the proportion in 1976.

Reject H₀. This means that there is sufficient evidence to conclude that the proportion of adults believing in reincarnation in 1997 was higher than the proportion in 1976.

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