Question Help Claim Most adults would orase all of thir personal information onl

Question

Question Help Claim Most adults would orase all of thir personal information online if they could. A software firm survey of 661 randomly selected adults showed that 50.2% 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 Msgrf antyE so there T eres its sufficient evidence to sap port the cla that most adits would ease aldthoir personal information onli er they could. are not are , S Click to select your answerls).

Explanation / Answer

Null hypothesis H0: The proportion of adults who would erase all of their personal information online is 50 %. That is p = 0.5.

Alternative hypothesis H1: The proportion of adults who would erase all of their personal information online is greater than 50 %. That is p > 0.5.

Given, Proportion, p = 50.2% = 0.502

Standard error of proportion, SE = sqrt(p(1-p)/n) = sqrt(0.502(1-0.502)/661) = 0.0194

Test statistic, z = (observed proportion - hypothesized proportion)/ SE

= (0.502 - 0.5) / 0.0194 = 0.1031

P-value for z = 0.1031 is given as,

P(Z > 0.1031) = 0.4589

As, p-value is greater than significance level of 0.05, we fail to reject the null hypothesis and conclude that

The results are not significantly high so there is not suffcient evidence to support the claim that most adults would erase all of their personal information online, if they could.

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