Question

Claim: Most adults would not erase all of their personal information online if they could. A software firm survey of 665 randomly selected adults showed that 49.5% of them would erase all of their personal information online if they could. Make a subjective estimate to decide whether the results are significantly low or significantly high, then state a conclusion about the original claim.

Answer 1

State the null and alternate hypothesis which shows a probability value of 0.5 and greater than 0.5 on the one-tailed test to the right respectively. The sample proportion which gives a value of 0.5050. The standard error can then be calculated which gives a value of 0.01925. The Z statistic is then calculated as 0.2598. When compared to a P value of 0.3975, it can be concluded that the null hypothesis is not rejected given the p-value is greater than 0.5.

Therefore, given the not so significant values, there is no sufficient evidence that most adults will not erase their personal information online.

Explanation:

With a 0.5 P value as null hypothesis and a an alternative hypothesis greater that 0.5 on a one tailed test. The sample proportion which gives a value of 0.5050. The standard error can then be calculated which gives a value of 0.01925. The Z statistic is then calculated as 0.2598. When compared to a P value of 0.3975, it can be concluded that the null hypothesis is not rejected given the p-value is greater than 0.5.

Therefore, given the not so significant values, there is no sufficient evidence that most adults will not erase their personal information online.