Of a random sample of215high school teachers,112stated thatthey have been working overtime since the beginning of the pandemic.

Test at the10%significance level against atwo-sided alternative hypothesis the null hypothesis thatone-half of the members of this population would agree with this statement.

Use P to notate population proportion.(Round your answers to three decimal places asneeded.)

If you prefer, in your answer you can use the following wordings instead of math operators:

(1) State the null and alternative hypotheses:

H0:Blank

H1:Blank

(2) State sample statistics asked below:

Sample proportion (p_hat) isBlank

.

Standard deviation of sample proportion isBlank

.

(3) Test by comparing the critical value with the test statistic:

Test statistic isBlank

.

Critical value(s) is(are)Blank

.

Blank

the null hypothesis. (Hint: make a choice between "reject" and "do not reject")

(4) Test by using p-value:

p-value isBlank

.

Since p-value isBlank

than the significance level,Blank

the null hypothesis.

Conclusion: ItBlank

likely thatone-half of the members of the population would agree with the statement. (Hint: make a choice between "is" and "is not")