A health foods shop owner is wondering if his customers' daily vitamin supplement habits are in the same proportion as the general population of adults. The shop owner heard in a news report that 60% of all adults reported that they took a daily vitamin. The shop owner believes that his customers have a greater proportion of adults who take a daily vitamin, so he decides to conduct a hypothesis test using the following null and alternative hypotheses: Ho: p = 0.6 and H4: p > 0.6. The shop owner collected data from 50 randomly selected customers and recorded that 45 of them use daily vitamin supplements. (a) Compute the appropriate test statistic and find the p-value of the test and based on a 5% significance level. Write a conclusion about the null hypothesis by interpreting the p-value. Be sure to clearly state the decision regarding the null hypothesis.

MATLAB: An Introduction with Applications
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A health foods shop owner is wondering if his customers' daily vitamin supplement habits are in the same
proportion as the general population of adults. The shop owner heard in a news report that 60% of all adults
reported that they took a daily vitamin. The shop owner believes that his customers have a greater proportion
of adults who take a daily vitamin, so he decides to conduct a hypothesis test using the following null and
alternative hypotheses: Ho: p
selected customers and recorded that 45 of them use daily vitamin supplements.
= 0.6 and Ha: p > 0.6. The shop owner collected data from 50 randomly
(a) Compute the appropriate test statistic and find the p-value of the test and based on a 5% significance level.
Write a conclusion about the null hypothesis by interpreting the p-value. Be sure to clearly state the decision
regarding the null hypothesis.
Transcribed Image Text:A health foods shop owner is wondering if his customers' daily vitamin supplement habits are in the same proportion as the general population of adults. The shop owner heard in a news report that 60% of all adults reported that they took a daily vitamin. The shop owner believes that his customers have a greater proportion of adults who take a daily vitamin, so he decides to conduct a hypothesis test using the following null and alternative hypotheses: Ho: p selected customers and recorded that 45 of them use daily vitamin supplements. = 0.6 and Ha: p > 0.6. The shop owner collected data from 50 randomly (a) Compute the appropriate test statistic and find the p-value of the test and based on a 5% significance level. Write a conclusion about the null hypothesis by interpreting the p-value. Be sure to clearly state the decision regarding the null hypothesis.
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