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An annual survey of first-year college students asks 276,000 students about their attitudes on a variety...

An annual survey of first-year college students asks 276,000 students about their attitudes on a variety of subjects. According to a recent survey, 55 % of first-year students believe that abortion should be legal. Use a 0.05 significance level to test the claim that over half of all first-year students believe that abortion should be legal

Hypothesis Test for µ Hypothesis Test for p
Level of Significance 0.05 (decimal) Level of Significance 0.05 (decimal)
Mean under H0 0.5 Proportion under H0 (decimal)
n 276000 n 276,000
Sample Mean Number of Successes
StDev OR
Sample Proportion 0.550% (decimal)
SE 0.000000 Sample Proportion 0.005500
Standard Score (z) #DIV/0! StDev 0.073958
One-Sided p-value #DIV/0! SE 0.000141
Two-Sided p-value #DIV/0! Standard Score (z) #DIV/0!
One-Sided p-value #DIV/0!
Two-Sided p-value #DIV/0!
math   Statistics-And-Probability   
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Answer #1

Here, we apply test for population proportion P.

Steps given below.

There is sufficient evidence to support the claim that over half of all first year students believe that abortion should be legal.

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