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a newsletter publisher believes that more than 51% of their readers own a personal computer. is there sufficient evidence at the 0.05 level to substantiate the publisher's claim? state the null and alternative hypotheses for the above scenario.

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Answer: The null hypothesis for this scenario is that the proportion of readers who own a personal computer is 0.51 or less:

H0: p <= 0.51

The alternative hypothesis is that the proportion of readers who own a personal computer is greater than 0.51:

Ha: p > 0.51

To test this hypothesis, we would need to collect a random sample of readers and determine the proportion of readers who own a personal computer in the sample. We could then use a one-sample proportion test to determine whether the proportion in the sample is significantly different from the null hypothesis value of 0.51. If the p-value is less than 0.05, we would reject the null hypothesis and conclude that there is sufficient evidence to substantiate the publisher's claim that more than 51% of their readers own a personal computer. If the p-value is greater than or equal to 0.05, we would fail to reject the null hypothesis and conclude that there is not sufficient evidence to substantiate the publisher's claim.

Explanation:

User John Barrat
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