provide answer and justification

Question 4: [does not require SPSS] An educational researcher wants to investigate the percentage of high school teachers in the district of Blueville who have been in their teaching job for more than 5 years. The researcher predicts that more than 45% of high school teachers in Blueville have been in their teaching job for more than 5 years. A random sample of high school teachers in Blueville was obtained and each teacher in the sample was asked how long they have been in their teaching job ('5 years or less' or 'more than 5 years'). (a) What type of hypothesis test would be appropriate to investigate the researcher's prediction? (b) What is the population we can draw conclusions about in this study? (c) The researcher predicts that more than 45% of high school teachers in the district of Blueville have been in their teaching job for more than 5 years. She conducted the appropriate hypothesis test and obtained a p-value of 0.143. Based on this result, she concludes that exactly 45% of high school teachers in the district of Blueville have been in their teaching job for more than 5 years. Comment on the validity of this conclusion. Provide justification for your