My question is what is the p value at .05 significance level or 95% confidence level?

Use a z-test.

Explanation:

This is a hypothesis test for the population proportion. Use a z-test.The procedure is as follows

Step 1 : State the null and alternative hypothesis

H0

:p0.07againstHA

:p>0.07

Step 2 : Compute the test statistic.

The sample proportion is given by

p

^

=n

x

=30

29

=0.9666667

The z-statistic is given by

Z=n

p(1p)

p

^

p

z0

=30

0.07(10.07)

0.96666670.07

=0.04658326

0.8966667

=19.24869

Step 3. Determine the pvalue or the critical value.

Remark. The level of significance has not been provided.

Step 4.Test decision. Using the Pvalue approach : Reject the null if the Pvalue is less than the level of significance.

Usingthe critical value approach. Reject the null hypothesis if

Z>Z

Step 5 : Conclusion.