A vaccine is tested on $950$ volunteers, and $38$ of them report mild fever as a side effect. The manufacturer claims that at least $7$ percent of vaccinated individuals experience mild fever. Use a $0.05$ significance level to test the claim. Answer the following:
a. Is the test two-tailed, left-tailed, or right-tailed?
b. What is the test statistic?
c. What is the P-value?
d. What is the null hypothesis, and what do you conclude about it?
e. What is the final conclusion?

a. This is a left-tailed test.

b. $-3.62$

c. $0.00015$

d. Null hypothesis: $H_0:p\ge 0.07$; Since P-value , we reject the null hypothesis.

e. There is sufficient evidence at the $0.05$ significance level to reject the claim that at least $7\%$ of vaccinated individuals experience mild fever.

a. This is a left-tailed test.

b. $-3.62$

c. $0.15$

d. Null hypothesis: $H_0:p\ge 0.07$; Since P-value , we reject the null hypothesis.

e. There is sufficient evidence at the $0.05$ significance level to reject the claim that at least $7\%$ of vaccinated individuals experience mild fever.

a. This is a left-tailed test.

b. $3.62$

c. $0.00015$

d. Null hypothesis: ; Since P-value , we reject the null hypothesis.

e. There is sufficient evidence at the $0.05$ significance level to reject the claim that at least $7\%$ of vaccinated individuals experience mild fever.

a. This is a right-tailed test.

b. $-3.62$

c. $0.00015$

d. Null hypothesis: $H_0:p\ge 0.07$; Since P-value , we reject the null hypothesis.

e. There is sufficient evidence at the $0.05$ significance level to reject the claim that at least $7\%$ of vaccinated individuals experience mild fever.